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Atlas › Integer Profiles › Node 41,330,716

41,330,716

22 × 72 × 433 × 487
Abundant Even Composite

41,330,716 factors as 2^2 × 7^2 × 433 × 487. Its 36 positive divisors give a proper-divisor sum of 43,174,292, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 433 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 84,505,008
Proper Divisor Sum 43,174,292
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #41330683 ← → #41330717

Radix Representation

Decimal 41330716
Binary 10011101101010100000011100 (26 bits)
Octal 0o235524034
Hexadecimal 0x276A81C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 433 487 866 974 1,732 1,948 3,031 3,409 6,062 6,818 12,124 13,636 21,217 23,863 42,434 47,726 84,868 95,452 210,871 421,742 843,484 1,476,097 2,952,194 5,904,388 10,332,679 20,665,358 41,330,716

Collatz Trajectory (178 steps to reach 1)

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

41,330,716 20,665,358 10,332,679 30,998,038 15,499,019 46,497,058 23,248,529 69,745,588 34,872,794 17,436,397 52,309,192 26,154,596 13,077,298 6,538,649 19,615,948 9,807,974 4,903,987 14,711,962 7,355,981 22,067,944 11,033,972 5,516,986 2,758,493 8,275,480 4,137,740 2,068,870 1,034,435 3,103,306 1,551,653 4,654,960 2,327,480 1,163,740 581,870 290,935 872,806 436,403 1,309,210 654,605 1,963,816 981,908 490,954 245,477 736,432 368,216 184,108 92,054 46,027 138,082 69,041 207,124 103,562 51,781 155,344 77,672 38,836 19,418 9,709 29,128 14,564 7,282

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