8,832,411

3² × 7 × 140197

Starting at 8,832,411, the Collatz iteration reaches 1 after 150 steps. The first transition is 26497234; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 140197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,580,592

Proper Divisor Sum 5,748,181

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8832407 ← → #8832431

Radix Representation

Decimal	8832411
Binary	100001101100010110011011 (24 bits)
Octal	0o41542633
Hexadecimal	0x86C59B

Divisor Catalog (12)

1 3 7 9 21 63 140,197 420,591 981,379 1,261,773 2,944,137 8,832,411

Collatz Trajectory (150 steps to reach 1)

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

8,832,411 26,497,234 13,248,617 39,745,852 19,872,926 9,936,463 29,809,390 14,904,695 44,714,086 22,357,043 67,071,130 33,535,565 100,606,696 50,303,348 25,151,674 12,575,837 37,727,512 18,863,756 9,431,878 4,715,939 14,147,818 7,073,909 21,221,728 10,610,864 5,305,432 2,652,716 1,326,358 663,179 1,989,538 994,769 2,984,308 1,492,154 746,077 2,238,232 1,119,116 559,558 279,779 839,338 419,669 1,259,008 629,504 314,752 157,376 78,688 39,344 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341

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