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Atlas › Integer Profiles › Node 62,731,564

62,731,564

22 × 72 × 17 × 67 × 281
Abundant Even Composite

62,731,564 factors as 2^2 × 7^2 × 17 × 67 × 281. Its 72 positive divisors give a proper-divisor sum of 74,990,468, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 67 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 137,722,032
Proper Divisor Sum 74,990,468
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #62731541 ← → #62731567

Radix Representation

Decimal 62731564
Binary 11101111010011010100101100 (26 bits)
Octal 0o357232454
Hexadecimal 0x3BD352C

Divisor Catalog (60 of 72)

1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 281 469 476 562 833 938 1,124 1,139 1,666 1,876 1,967 2,278 3,283 3,332 3,934 4,556 4,777 6,566 7,868 7,973 9,554 13,132 13,769 15,946 18,827 19,108 27,538 31,892 33,439 37,654 55,076 55,811 66,878 75,308 111,622 131,789 133,756 223,244 234,073 263,578 320,059 468,146 527,156

Collatz Trajectory (101 steps to reach 1)

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

62,731,564 31,365,782 15,682,891 47,048,674 23,524,337 70,573,012 35,286,506 17,643,253 52,929,760 26,464,880 13,232,440 6,616,220 3,308,110 1,654,055 4,962,166 2,481,083 7,443,250 3,721,625 11,164,876 5,582,438 2,791,219 8,373,658 4,186,829 12,560,488 6,280,244 3,140,122 1,570,061 4,710,184 2,355,092 1,177,546 588,773 1,766,320 883,160 441,580 220,790 110,395 331,186 165,593 496,780 248,390 124,195 372,586 186,293 558,880 279,440 139,720 69,860 34,930 17,465 52,396 26,198 13,099 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053

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