9,702,486

2 × 3² × 41 × 13147

9,702,486 factors as 2 × 3^2 × 41 × 13147. Its 24 positive divisors give a proper-divisor sum of 11,833,938, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 13147

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,536,424

Proper Divisor Sum 11,833,938

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9702449 ← → #9702487

Radix Representation

Decimal	9702486
Binary	100101000000110001010110 (24 bits)
Octal	0o45006126
Hexadecimal	0x940C56

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 13,147 26,294 39,441 78,882 118,323 236,646 539,027 1,078,054 1,617,081 3,234,162 4,851,243 9,702,486

Collatz Trajectory (238 steps to reach 1)

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

9,702,486 4,851,243 14,553,730 7,276,865 21,830,596 10,915,298 5,457,649 16,372,948 8,186,474 4,093,237 12,279,712 6,139,856 3,069,928 1,534,964 767,482 383,741 1,151,224 575,612 287,806 143,903 431,710 215,855 647,566 323,783 971,350 485,675 1,457,026 728,513 2,185,540 1,092,770 546,385 1,639,156 819,578 409,789 1,229,368 614,684 307,342 153,671 461,014 230,507 691,522 345,761 1,037,284 518,642 259,321 777,964 388,982 194,491 583,474 291,737 875,212 437,606 218,803 656,410 328,205 984,616 492,308 246,154 123,077 369,232

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