40,134,180

2² × 3 × 5 × 668903

40,134,180 factors as 2^2 × 3 × 5 × 668903. Its 24 positive divisors give a proper-divisor sum of 72,241,692, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 668903

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 112,375,872

Proper Divisor Sum 72,241,692

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #40134169 ← → #40134209

Radix Representation

Decimal	40134180
Binary	10011001000110011000100100 (26 bits)
Octal	0o231063044
Hexadecimal	0x2646624

Divisor Catalog (24)

Collatz Trajectory (160 steps to reach 1)

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

40,134,180 20,067,090 10,033,545 30,100,636 15,050,318 7,525,159 22,575,478 11,287,739 33,863,218 16,931,609 50,794,828 25,397,414 12,698,707 38,096,122 19,048,061 57,144,184 28,572,092 14,286,046 7,143,023 21,429,070 10,714,535 32,143,606 16,071,803 48,215,410 24,107,705 72,323,116 36,161,558 18,080,779 54,242,338 27,121,169 81,363,508 40,681,754 20,340,877 61,022,632 30,511,316 15,255,658 7,627,829 22,883,488 11,441,744 5,720,872 2,860,436 1,430,218 715,109 2,145,328 1,072,664 536,332 268,166 134,083 402,250 201,125 603,376 301,688 150,844 75,422 37,711 113,134 56,567 169,702 84,851 254,554

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