8,772,959

13² × 23 × 37 × 61

Starting at 8,772,959, the Collatz iteration reaches 1 after 199 steps. The first transition is 26318878; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 23 × 37 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,347,552

Proper Divisor Sum 1,574,593

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #8772947 ← → #8772977

Radix Representation

Decimal	8772959
Binary	100001011101110101011111 (24 bits)
Octal	0o41356537
Hexadecimal	0x85DD5F

Divisor Catalog (24)

1 13 23 37 61 169 299 481 793 851 1,403 2,257 3,887 6,253 10,309 11,063 18,239 29,341 51,911 143,819 237,107 381,433 674,843 8,772,959

Collatz Trajectory (199 steps to reach 1)

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

8,772,959 26,318,878 13,159,439 39,478,318 19,739,159 59,217,478 29,608,739 88,826,218 44,413,109 133,239,328 66,619,664 33,309,832 16,654,916 8,327,458 4,163,729 12,491,188 6,245,594 3,122,797 9,368,392 4,684,196 2,342,098 1,171,049 3,513,148 1,756,574 878,287 2,634,862 1,317,431 3,952,294 1,976,147 5,928,442 2,964,221 8,892,664 4,446,332 2,223,166 1,111,583 3,334,750 1,667,375 5,002,126 2,501,063 7,503,190 3,751,595 11,254,786 5,627,393 16,882,180 8,441,090 4,220,545 12,661,636 6,330,818 3,165,409 9,496,228 4,748,114 2,374,057 7,122,172 3,561,086 1,780,543 5,341,630 2,670,815 8,012,446 4,006,223 12,018,670

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