8,337,558

2 × 3 × 29 × 47917

Starting at 8,337,558, the Collatz iteration reaches 1 after 111 steps. The first transition is 4168779; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 47917

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,250,480

Proper Divisor Sum 8,912,922

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8337517 ← → #8337607

Radix Representation

Decimal	8337558
Binary	11111110011100010010110 (23 bits)
Octal	0o37634226
Hexadecimal	0x7F3896

Divisor Catalog (16)

1 2 3 6 29 58 87 174 47,917 95,834 143,751 287,502 1,389,593 2,779,186 4,168,779 8,337,558

Collatz Trajectory (111 steps to reach 1)

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

8,337,558 4,168,779 12,506,338 6,253,169 18,759,508 9,379,754 4,689,877 14,069,632 7,034,816 3,517,408 1,758,704 879,352 439,676 219,838 109,919 329,758 164,879 494,638 247,319 741,958 370,979 1,112,938 556,469 1,669,408 834,704 417,352 208,676 104,338 52,169 156,508 78,254 39,127 117,382 58,691 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815

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