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Atlas › Integer Profiles › Node 71,159,504

71,159,504

24 × 13 × 29 × 47 × 251
Abundant Even Composite

71,159,504 factors as 2^4 × 13 × 29 × 47 × 251. Its 80 positive divisors give a proper-divisor sum of 86,330,416, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 29 × 47 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 157,489,920
Proper Divisor Sum 86,330,416
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #71159483 ← → #71159509

Radix Representation

Decimal 71159504
Binary 100001111011100111011010000 (27 bits)
Octal 0o417347320
Hexadecimal 0x43DCED0

Divisor Catalog (60 of 80)

1 2 4 8 13 16 26 29 47 52 58 94 104 116 188 208 232 251 376 377 464 502 611 752 754 1,004 1,222 1,363 1,508 2,008 2,444 2,726 3,016 3,263 4,016 4,888 5,452 6,032 6,526 7,279 9,776 10,904 11,797 13,052 14,558 17,719 21,808 23,594 26,104 29,116 35,438 47,188 52,208 58,232 70,876 94,376 94,627 116,464 141,752 153,361

Collatz Trajectory (184 steps to reach 1)

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

71,159,504 35,579,752 17,789,876 8,894,938 4,447,469 13,342,408 6,671,204 3,335,602 1,667,801 5,003,404 2,501,702 1,250,851 3,752,554 1,876,277 5,628,832 2,814,416 1,407,208 703,604 351,802 175,901 527,704 263,852 131,926 65,963 197,890 98,945 296,836 148,418 74,209 222,628 111,314 55,657 166,972 83,486 41,743 125,230 62,615 187,846 93,923 281,770 140,885 422,656 211,328 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092

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