9,702,550

2 × 5² × 11 × 13 × 23 × 59

9,702,550 factors as 2 × 5^2 × 11 × 13 × 23 × 59. Its 96 positive divisors give a proper-divisor sum of 12,796,010, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 13 × 23 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,498,560

Proper Divisor Sum 12,796,010

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9702509 ← → #9702557

Radix Representation

Decimal	9702550
Binary	100101000000110010010110 (24 bits)
Octal	0o45006226
Hexadecimal	0x940C96

Divisor Catalog (60 of 96)

1 2 5 10 11 13 22 23 25 26 46 50 55 59 65 110 115 118 130 143 230 253 275 286 295 299 325 506 550 575 590 598 649 650 715 767 1,150 1,265 1,298 1,357 1,430 1,475 1,495 1,534 2,530 2,714 2,950 2,990 3,245 3,289 3,575 3,835 6,325 6,490 6,578 6,785 7,150 7,475 7,670 8,437

Collatz Trajectory (70 steps to reach 1)

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

9,702,550 4,851,275 14,553,826 7,276,913 21,830,740 10,915,370 5,457,685 16,373,056 8,186,528 4,093,264 2,046,632 1,023,316 511,658 255,829 767,488 383,744 191,872 95,936 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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