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17,533,984

25 × 13 × 113 × 373
Abundant Even Composite

17,533,984 factors as 2^5 × 13 × 113 × 373. Its 48 positive divisors give a proper-divisor sum of 20,070,968, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 113 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,604,952
Proper Divisor Sum 20,070,968
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17533973 ← → #17533993

Radix Representation

Decimal 17533984
Binary 1000010111000110000100000 (25 bits)
Octal 0o102706040
Hexadecimal 0x10B8C20

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 104 113 208 226 373 416 452 746 904 1,469 1,492 1,808 2,938 2,984 3,616 4,849 5,876 5,968 9,698 11,752 11,936 19,396 23,504 38,792 42,149 47,008 77,584 84,298 155,168 168,596 337,192 547,937 674,384 1,095,874 1,348,768 2,191,748 4,383,496 8,766,992 17,533,984

Collatz Trajectory (89 steps to reach 1)

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

17,533,984 8,766,992 4,383,496 2,191,748 1,095,874 547,937 1,643,812 821,906 410,953 1,232,860 616,430 308,215 924,646 462,323 1,386,970 693,485 2,080,456 1,040,228 520,114 260,057 780,172 390,086 195,043 585,130 292,565 877,696 438,848 219,424 109,712 54,856 27,428 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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