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Atlas › Integer Profiles › Node 41,527,240

41,527,240

23 × 5 × 701 × 1481
Abundant Even Composite

41,527,240 factors as 2^3 × 5 × 701 × 1481. Its 32 positive divisors give a proper-divisor sum of 52,105,520, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 701 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,632,760
Proper Divisor Sum 52,105,520
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #41527237 ← → #41527247

Radix Representation

Decimal 41527240
Binary 10011110011010011111001000 (26 bits)
Octal 0o236323710
Hexadecimal 0x279A7C8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 701 1,402 1,481 2,804 2,962 3,505 5,608 5,924 7,010 7,405 11,848 14,020 14,810 28,040 29,620 59,240 1,038,181 2,076,362 4,152,724 5,190,905 8,305,448 10,381,810 20,763,620 41,527,240

Collatz Trajectory (116 steps to reach 1)

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

41,527,240 20,763,620 10,381,810 5,190,905 15,572,716 7,786,358 3,893,179 11,679,538 5,839,769 17,519,308 8,759,654 4,379,827 13,139,482 6,569,741 19,709,224 9,854,612 4,927,306 2,463,653 7,390,960 3,695,480 1,847,740 923,870 461,935 1,385,806 692,903 2,078,710 1,039,355 3,118,066 1,559,033 4,677,100 2,338,550 1,169,275 3,507,826 1,753,913 5,261,740 2,630,870 1,315,435 3,946,306 1,973,153 5,919,460 2,959,730 1,479,865 4,439,596 2,219,798 1,109,899 3,329,698 1,664,849 4,994,548 2,497,274 1,248,637 3,745,912 1,872,956 936,478 468,239 1,404,718 702,359 2,107,078 1,053,539 3,160,618 1,580,309

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