8,072,785

5 × 7 × 263 × 877

Starting at 8,072,785, the Collatz iteration reaches 1 after 230 steps. The first transition is 24218356; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 263 × 877

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,126,016

Proper Divisor Sum 3,053,231

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8072761 ← → #8072791

Radix Representation

Decimal	8072785
Binary	11110110010111001010001 (23 bits)
Octal	0o36627121
Hexadecimal	0x7B2E51

Divisor Catalog (16)

1 5 7 35 263 877 1,315 1,841 4,385 6,139 9,205 30,695 230,651 1,153,255 1,614,557 8,072,785

Collatz Trajectory (230 steps to reach 1)

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

8,072,785 24,218,356 12,109,178 6,054,589 18,163,768 9,081,884 4,540,942 2,270,471 6,811,414 3,405,707 10,217,122 5,108,561 15,325,684 7,662,842 3,831,421 11,494,264 5,747,132 2,873,566 1,436,783 4,310,350 2,155,175 6,465,526 3,232,763 9,698,290 4,849,145 14,547,436 7,273,718 3,636,859 10,910,578 5,455,289 16,365,868 8,182,934 4,091,467 12,274,402 6,137,201 18,411,604 9,205,802 4,602,901 13,808,704 6,904,352 3,452,176 1,726,088 863,044 431,522 215,761 647,284 323,642 161,821 485,464 242,732 121,366 60,683 182,050 91,025 273,076 136,538 68,269 204,808 102,404 51,202

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