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11,635,480

23 × 5 × 17 × 71 × 241
Abundant Even Composite

11,635,480 factors as 2^3 × 5 × 17 × 71 × 241. Its 64 positive divisors give a proper-divisor sum of 16,591,400, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 71 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,226,880
Proper Divisor Sum 16,591,400
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #11635469 ← → #11635517

Radix Representation

Decimal 11635480
Binary 101100011000101100011000 (24 bits)
Octal 0o54305430
Hexadecimal 0xB18B18

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 241 284 340 355 482 568 680 710 964 1,205 1,207 1,420 1,928 2,410 2,414 2,840 4,097 4,820 4,828 6,035 8,194 9,640 9,656 12,070 16,388 17,111 20,485 24,140 32,776 34,222 40,970 48,280 68,444 81,940 85,555 136,888 163,880 171,110 290,887 342,220 581,774 684,440 1,163,548 1,454,435

Collatz Trajectory (153 steps to reach 1)

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

11,635,480 5,817,740 2,908,870 1,454,435 4,363,306 2,181,653 6,544,960 3,272,480 1,636,240 818,120 409,060 204,530 102,265 306,796 153,398 76,699 230,098 115,049 345,148 172,574 86,287 258,862 129,431 388,294 194,147 582,442 291,221 873,664 436,832 218,416 109,208 54,604 27,302 13,651 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811

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