8,516,473

7 × 17 × 59 × 1213

Starting at 8,516,473, the Collatz iteration reaches 1 after 137 steps. The first transition is 25549420; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 59 × 1213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,488,960

Proper Divisor Sum 1,972,487

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8516467 ← → #8516477

Radix Representation

Decimal	8516473
Binary	100000011111001101111001 (24 bits)
Octal	0o40371571
Hexadecimal	0x81F379

Divisor Catalog (16)

1 7 17 59 119 413 1,003 1,213 7,021 8,491 20,621 71,567 144,347 500,969 1,216,639 8,516,473

Collatz Trajectory (137 steps to reach 1)

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

8,516,473 25,549,420 12,774,710 6,387,355 19,162,066 9,581,033 28,743,100 14,371,550 7,185,775 21,557,326 10,778,663 32,335,990 16,167,995 48,503,986 24,251,993 72,755,980 36,377,990 18,188,995 54,566,986 27,283,493 81,850,480 40,925,240 20,462,620 10,231,310 5,115,655 15,346,966 7,673,483 23,020,450 11,510,225 34,530,676 17,265,338 8,632,669 25,898,008 12,949,004 6,474,502 3,237,251 9,711,754 4,855,877 14,567,632 7,283,816 3,641,908 1,820,954 910,477 2,731,432 1,365,716 682,858 341,429 1,024,288 512,144 256,072 128,036 64,018 32,009 96,028 48,014 24,007 72,022 36,011 108,034 54,017

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