8,462,075

5² × 59 × 5737

Starting at 8,462,075, the Collatz iteration reaches 1 after 168 steps. The first transition is 25386226; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 59 × 5737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,672,680

Proper Divisor Sum 2,210,605

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8462071 ← → #8462081

Radix Representation

Decimal	8462075
Binary	100000010001111011111011 (24 bits)
Octal	0o40217373
Hexadecimal	0x811EFB

Divisor Catalog (12)

1 5 25 59 295 1,475 5,737 28,685 143,425 338,483 1,692,415 8,462,075

Collatz Trajectory (168 steps to reach 1)

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

8,462,075 25,386,226 12,693,113 38,079,340 19,039,670 9,519,835 28,559,506 14,279,753 42,839,260 21,419,630 10,709,815 32,129,446 16,064,723 48,194,170 24,097,085 72,291,256 36,145,628 18,072,814 9,036,407 27,109,222 13,554,611 40,663,834 20,331,917 60,995,752 30,497,876 15,248,938 7,624,469 22,873,408 11,436,704 5,718,352 2,859,176 1,429,588 714,794 357,397 1,072,192 536,096 268,048 134,024 67,012 33,506 16,753 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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