λ
Sequence Observatory
Atlas › Integer Profiles › Node 4,195,576

4,195,576

23 × 73 × 11 × 139
Abundant Even Composite

Starting at 4,195,576, the Collatz iteration reaches 1 after 136 steps. The first transition is 2097788; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 11 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,080,000
Proper Divisor Sum 5,884,424
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4195573 ← → #4195579

Radix Representation

Decimal 4195576
Binary 10000000000010011111000 (23 bits)
Octal 0o20002370
Hexadecimal 0x4004F8

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 139 154 196 278 308 343 392 539 556 616 686 973 1,078 1,112 1,372 1,529 1,946 2,156 2,744 3,058 3,773 3,892 4,312 6,116 6,811 7,546 7,784 10,703 12,232 13,622 15,092 21,406 27,244 30,184 42,812 47,677 54,488 74,921 85,624 95,354 149,842 190,708 299,684 381,416 524,447

Collatz Trajectory (136 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,195,576 2,097,788 1,048,894 524,447 1,573,342 786,671 2,360,014 1,180,007 3,540,022 1,770,011 5,310,034 2,655,017 7,965,052 3,982,526 1,991,263 5,973,790 2,986,895 8,960,686 4,480,343 13,441,030 6,720,515 20,161,546 10,080,773 30,242,320 15,121,160 7,560,580 3,780,290 1,890,145 5,670,436 2,835,218 1,417,609 4,252,828 2,126,414 1,063,207 3,189,622 1,594,811 4,784,434 2,392,217 7,176,652 3,588,326 1,794,163 5,382,490 2,691,245 8,073,736 4,036,868 2,018,434 1,009,217 3,027,652 1,513,826 756,913 2,270,740 1,135,370 567,685 1,703,056 851,528 425,764 212,882 106,441 319,324 159,662

More profiles

Browse other published profiles and their separate link collections.

Profile #7,416,351 Profile #2,341,763 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #205,975 Profile #1,175,013 Profile #3,167,706
← Previous Integer #4,195,575 Browse Full Index Next Integer #4,195,577 →