λ
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Atlas › Integer Profiles › Node 74,572,100

74,572,100

22 × 52 × 251 × 2971
Abundant Even Composite

74,572,100 factors as 2^2 × 5^2 × 251 × 2971. Its 36 positive divisors give a proper-divisor sum of 87,948,748, so this integer is abundant. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 251 × 2971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 162,520,848
Proper Divisor Sum 87,948,748
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #74572067 ← → #74572117

Radix Representation

Decimal 74572100
Binary 100011100011110000101000100 (27 bits)
Octal 0o434360504
Hexadecimal 0x471E144

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 251 502 1,004 1,255 2,510 2,971 5,020 5,942 6,275 11,884 12,550 14,855 25,100 29,710 59,420 74,275 148,550 297,100 745,721 1,491,442 2,982,884 3,728,605 7,457,210 14,914,420 18,643,025 37,286,050 74,572,100

Collatz Trajectory (303 steps to reach 1)

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

74,572,100 37,286,050 18,643,025 55,929,076 27,964,538 13,982,269 41,946,808 20,973,404 10,486,702 5,243,351 15,730,054 7,865,027 23,595,082 11,797,541 35,392,624 17,696,312 8,848,156 4,424,078 2,212,039 6,636,118 3,318,059 9,954,178 4,977,089 14,931,268 7,465,634 3,732,817 11,198,452 5,599,226 2,799,613 8,398,840 4,199,420 2,099,710 1,049,855 3,149,566 1,574,783 4,724,350 2,362,175 7,086,526 3,543,263 10,629,790 5,314,895 15,944,686 7,972,343 23,917,030 11,958,515 35,875,546 17,937,773 53,813,320 26,906,660 13,453,330 6,726,665 20,179,996 10,089,998 5,044,999 15,134,998 7,567,499 22,702,498 11,351,249 34,053,748 17,026,874

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