40,627,240

2³ × 5 × 743 × 1367

40,627,240 factors as 2^3 × 5 × 743 × 1367. Its 32 positive divisors give a proper-divisor sum of 50,974,040, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 743 × 1367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 91,601,280

Proper Divisor Sum 50,974,040

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #40627219 ← → #40627241

Radix Representation

Decimal	40627240
Binary	10011010111110110000101000 (26 bits)
Octal	0o232766050
Hexadecimal	0x26BEC28

Divisor Catalog (32)

Collatz Trajectory (222 steps to reach 1)

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

40,627,240 20,313,620 10,156,810 5,078,405 15,235,216 7,617,608 3,808,804 1,904,402 952,201 2,856,604 1,428,302 714,151 2,142,454 1,071,227 3,213,682 1,606,841 4,820,524 2,410,262 1,205,131 3,615,394 1,807,697 5,423,092 2,711,546 1,355,773 4,067,320 2,033,660 1,016,830 508,415 1,525,246 762,623 2,287,870 1,143,935 3,431,806 1,715,903 5,147,710 2,573,855 7,721,566 3,860,783 11,582,350 5,791,175 17,373,526 8,686,763 26,060,290 13,030,145 39,090,436 19,545,218 9,772,609 29,317,828 14,658,914 7,329,457 21,988,372 10,994,186 5,497,093 16,491,280 8,245,640 4,122,820 2,061,410 1,030,705 3,092,116 1,546,058

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