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Atlas › Integer Profiles › Node 72,246,740

72,246,740

22 × 5 × 19 × 31 × 6133
Abundant Even Composite

72,246,740 factors as 2^2 × 5 × 19 × 31 × 6133. Its 48 positive divisors give a proper-divisor sum of 92,635,180, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 31 × 6133
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 164,881,920
Proper Divisor Sum 92,635,180
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #72246737 ← → #72246761

Radix Representation

Decimal 72246740
Binary 100010011100110010111010100 (27 bits)
Octal 0o423462724
Hexadecimal 0x44E65D4

Divisor Catalog (48)

1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1,178 2,356 2,945 5,890 6,133 11,780 12,266 24,532 30,665 61,330 116,527 122,660 190,123 233,054 380,246 466,108 582,635 760,492 950,615 1,165,270 1,901,230 2,330,540 3,612,337 3,802,460 7,224,674 14,449,348 18,061,685 36,123,370 72,246,740

Collatz Trajectory (166 steps to reach 1)

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

72,246,740 36,123,370 18,061,685 54,185,056 27,092,528 13,546,264 6,773,132 3,386,566 1,693,283 5,079,850 2,539,925 7,619,776 3,809,888 1,904,944 952,472 476,236 238,118 119,059 357,178 178,589 535,768 267,884 133,942 66,971 200,914 100,457 301,372 150,686 75,343 226,030 113,015 339,046 169,523 508,570 254,285 762,856 381,428 190,714 95,357 286,072 143,036 71,518 35,759 107,278 53,639 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730

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