1,025,857

7 × 101 × 1451

Starting at 1,025,857, the Collatz iteration reaches 1 after 134 steps. The first transition is 3077572; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 101 × 1451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,184,832

Proper Divisor Sum 158,975

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1025839 ← → #1025873

Radix Representation

Decimal	1025857
Binary	11111010011101000001 (20 bits)
Octal	0o3723501
Hexadecimal	0xFA741

Divisor Catalog (8)

1 7 101 707 1,451 10,157 146,551 1,025,857

Collatz Trajectory (134 steps to reach 1)

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

1,025,857 3,077,572 1,538,786 769,393 2,308,180 1,154,090 577,045 1,731,136 865,568 432,784 216,392 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508

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