λ
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9,739,028

22 × 13 × 17 × 23 × 479
Abundant Even Composite

9,739,028 factors as 2^2 × 13 × 17 × 23 × 479. Its 48 positive divisors give a proper-divisor sum of 10,582,252, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 23 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,321,280
Proper Divisor Sum 10,582,252
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9739021 ← → #9739031

Radix Representation

Decimal 9739028
Binary 100101001001101100010100 (24 bits)
Octal 0o45115424
Hexadecimal 0x949B14

Divisor Catalog (48)

1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 479 598 782 884 958 1,196 1,564 1,916 5,083 6,227 8,143 10,166 11,017 12,454 16,286 20,332 22,034 24,908 32,572 44,068 105,859 143,221 187,289 211,718 286,442 374,578 423,436 572,884 749,156 2,434,757 4,869,514 9,739,028

Collatz Trajectory (62 steps to reach 1)

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

9,739,028 4,869,514 2,434,757 7,304,272 3,652,136 1,826,068 913,034 456,517 1,369,552 684,776 342,388 171,194 85,597 256,792 128,396 64,198 32,099 96,298 48,149 144,448 72,224 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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