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Atlas › Integer Profiles › Node 40,927,720

40,927,720

23 × 5 × 181 × 5653
Abundant Even Composite

40,927,720 factors as 2^3 × 5 × 181 × 5653. Its 32 positive divisors give a proper-divisor sum of 51,684,800, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 181 × 5653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,612,520
Proper Divisor Sum 51,684,800
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40927709 ← → #40927723

Radix Representation

Decimal 40927720
Binary 10011100001000000111101000 (26 bits)
Octal 0o234100750
Hexadecimal 0x27081E8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 181 362 724 905 1,448 1,810 3,620 5,653 7,240 11,306 22,612 28,265 45,224 56,530 113,060 226,120 1,023,193 2,046,386 4,092,772 5,115,965 8,185,544 10,231,930 20,463,860 40,927,720

Collatz Trajectory (116 steps to reach 1)

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

40,927,720 20,463,860 10,231,930 5,115,965 15,347,896 7,673,948 3,836,974 1,918,487 5,755,462 2,877,731 8,633,194 4,316,597 12,949,792 6,474,896 3,237,448 1,618,724 809,362 404,681 1,214,044 607,022 303,511 910,534 455,267 1,365,802 682,901 2,048,704 1,024,352 512,176 256,088 128,044 64,022 32,011 96,034 48,017 144,052 72,026 36,013 108,040 54,020 27,010 13,505 40,516 20,258 10,129 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216

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