λ
Sequence Observatory
Atlas › Integer Profiles › Node 3,622,864

3,622,864

24 × 72 × 4621
Abundant Even Composite

Starting at 3,622,864, the Collatz iteration reaches 1 after 115 steps. The first transition is 1811432; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 4621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 8,167,074
Proper Divisor Sum 4,544,210
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3622859 ← → #3622873

Radix Representation

Decimal 3622864
Binary 1101110100011111010000 (22 bits)
Octal 0o15643720
Hexadecimal 0x3747D0

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4,621 9,242 18,484 32,347 36,968 64,694 73,936 129,388 226,429 258,776 452,858 517,552 905,716 1,811,432 3,622,864

Collatz Trajectory (115 steps to reach 1)

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

3,622,864 1,811,432 905,716 452,858 226,429 679,288 339,644 169,822 84,911 254,734 127,367 382,102 191,051 573,154 286,577 859,732 429,866 214,933 644,800 322,400 161,200 80,600 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833

More profiles

Browse other published profiles and their separate link collections.

Profile #1,085,388 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #3,469,465 Profile #4,735,257 Profile #3,997,595 Profile #8,533,971
← Previous Integer #3,622,863 Browse Full Index Next Integer #3,622,865 →