9,726,529

31 × 263 × 1193

Starting at 9,726,529, the Collatz iteration reaches 1 after 145 steps. The first transition is 29179588; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 263 × 1193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,086,912

Proper Divisor Sum 360,383

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9726517 ← → #9726547

Radix Representation

Decimal	9726529
Binary	100101000110101001000001 (24 bits)
Octal	0o45065101
Hexadecimal	0x946A41

Divisor Catalog (8)

1 31 263 1,193 8,153 36,983 313,759 9,726,529

Collatz Trajectory (145 steps to reach 1)

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

9,726,529 29,179,588 14,589,794 7,294,897 21,884,692 10,942,346 5,471,173 16,413,520 8,206,760 4,103,380 2,051,690 1,025,845 3,077,536 1,538,768 769,384 384,692 192,346 96,173 288,520 144,260 72,130 36,065 108,196 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

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