7,612,865

5 × 13 × 173 × 677

Starting at 7,612,865, the Collatz iteration reaches 1 after 217 steps. The first transition is 22838596; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 173 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,909,648

Proper Divisor Sum 2,296,783

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7612859 ← → #7612873

Radix Representation

Decimal	7612865
Binary	11101000010100111000001 (23 bits)
Octal	0o35024701
Hexadecimal	0x7429C1

Divisor Catalog (16)

1 5 13 65 173 677 865 2,249 3,385 8,801 11,245 44,005 117,121 585,605 1,522,573 7,612,865

Collatz Trajectory (217 steps to reach 1)

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

7,612,865 22,838,596 11,419,298 5,709,649 17,128,948 8,564,474 4,282,237 12,846,712 6,423,356 3,211,678 1,605,839 4,817,518 2,408,759 7,226,278 3,613,139 10,839,418 5,419,709 16,259,128 8,129,564 4,064,782 2,032,391 6,097,174 3,048,587 9,145,762 4,572,881 13,718,644 6,859,322 3,429,661 10,288,984 5,144,492 2,572,246 1,286,123 3,858,370 1,929,185 5,787,556 2,893,778 1,446,889 4,340,668 2,170,334 1,085,167 3,255,502 1,627,751 4,883,254 2,441,627 7,324,882 3,662,441 10,987,324 5,493,662 2,746,831 8,240,494 4,120,247 12,360,742 6,180,371 18,541,114 9,270,557 27,811,672 13,905,836 6,952,918 3,476,459 10,429,378

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