λ
Sequence Observatory

4,720,638

2 × 3 × 13 × 60521
Abundant Even Composite

Starting at 4,720,638, the Collatz iteration reaches 1 after 299 steps. The first transition is 2360319; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 60521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,167,696
Proper Divisor Sum 5,447,058
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4720637 ← → #4720663

Radix Representation

Decimal 4720638
Binary 10010000000011111111110 (23 bits)
Octal 0o22003776
Hexadecimal 0x4807FE

Divisor Catalog (16)

1 2 3 6 13 26 39 78 60,521 121,042 181,563 363,126 786,773 1,573,546 2,360,319 4,720,638

Collatz Trajectory (299 steps to reach 1)

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

4,720,638 2,360,319 7,080,958 3,540,479 10,621,438 5,310,719 15,932,158 7,966,079 23,898,238 11,949,119 35,847,358 17,923,679 53,771,038 26,885,519 80,656,558 40,328,279 120,984,838 60,492,419 181,477,258 90,738,629 272,215,888 136,107,944 68,053,972 34,026,986 17,013,493 51,040,480 25,520,240 12,760,120 6,380,060 3,190,030 1,595,015 4,785,046 2,392,523 7,177,570 3,588,785 10,766,356 5,383,178 2,691,589 8,074,768 4,037,384 2,018,692 1,009,346 504,673 1,514,020 757,010 378,505 1,135,516 567,758 283,879 851,638 425,819 1,277,458 638,729 1,916,188 958,094 479,047 1,437,142 718,571 2,155,714 1,077,857

More profiles

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