8,732,936

2³ × 1091617

Starting at 8,732,936, the Collatz iteration reaches 1 after 75 steps. The first transition is 4366468; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1091617

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,374,270

Proper Divisor Sum 7,641,334

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8732923 ← → #8732957

Radix Representation

Decimal	8732936
Binary	100001010100000100001000 (24 bits)
Octal	0o41240410
Hexadecimal	0x854108

Divisor Catalog (8)

1 2 4 8 1,091,617 2,183,234 4,366,468 8,732,936

Collatz Trajectory (75 steps to reach 1)

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

8,732,936 4,366,468 2,183,234 1,091,617 3,274,852 1,637,426 818,713 2,456,140 1,228,070 614,035 1,842,106 921,053 2,763,160 1,381,580 690,790 345,395 1,036,186 518,093 1,554,280 777,140 388,570 194,285 582,856 291,428 145,714 72,857 218,572 109,286 54,643 163,930 81,965 245,896 122,948 61,474 30,737 92,212 46,106 23,053 69,160 34,580 17,290 8,645 25,936 12,968 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44

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