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29,317,652

22 × 7 × 13 × 239 × 337
Abundant Even Composite

29,317,652 factors as 2^2 × 7 × 13 × 239 × 337. Its 48 positive divisors give a proper-divisor sum of 34,280,428, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 239 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,598,080
Proper Divisor Sum 34,280,428
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #29317643 ← → #29317657

Radix Representation

Decimal 29317652
Binary 1101111110101101000010100 (25 bits)
Octal 0o157655024
Hexadecimal 0x1BF5A14

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 91 182 239 337 364 478 674 956 1,348 1,673 2,359 3,107 3,346 4,381 4,718 6,214 6,692 8,762 9,436 12,428 17,524 21,749 30,667 43,498 61,334 80,543 86,996 122,668 161,086 322,172 563,801 1,047,059 1,127,602 2,094,118 2,255,204 4,188,236 7,329,413 14,658,826 29,317,652

Collatz Trajectory (100 steps to reach 1)

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

29,317,652 14,658,826 7,329,413 21,988,240 10,994,120 5,497,060 2,748,530 1,374,265 4,122,796 2,061,398 1,030,699 3,092,098 1,546,049 4,638,148 2,319,074 1,159,537 3,478,612 1,739,306 869,653 2,608,960 1,304,480 652,240 326,120 163,060 81,530 40,765 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863

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