915,745

5 × 23 × 7963

Starting at 915,745, the Collatz iteration reaches 1 after 56 steps. The first transition is 2747236; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 23 × 7963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,146,816

Proper Divisor Sum 231,071

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #915737 ← → #915757

Radix Representation

Decimal	915745
Binary	11011111100100100001 (20 bits)
Octal	0o3374441
Hexadecimal	0xDF921

Divisor Catalog (8)

1 5 23 115 7,963 39,815 183,149 915,745

Collatz Trajectory (56 steps to reach 1)

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

915,745 2,747,236 1,373,618 686,809 2,060,428 1,030,214 515,107 1,545,322 772,661 2,317,984 1,158,992 579,496 289,748 144,874 72,437 217,312 108,656 54,328 27,164 13,582 6,791 20,374 10,187 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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