40,907,015

5 × 17 × 37 × 13007

40,907,015 factors as 5 × 17 × 37 × 13007. Its 16 positive divisors give a proper-divisor sum of 12,477,817, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 5 × 17 × 37 × 13007

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 53,384,832

Proper Divisor Sum 12,477,817

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #40907003 ← → #40907029

Radix Representation

Decimal	40907015
Binary	10011100000011000100000111 (26 bits)
Octal	0o234030407
Hexadecimal	0x2703107

Divisor Catalog (16)

1 5 17 37 85 185 629 3,145 13,007 65,035 221,119 481,259 1,105,595 2,406,295 8,181,403 40,907,015

Collatz Trajectory (222 steps to reach 1)

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

40,907,015 122,721,046 61,360,523 184,081,570 92,040,785 276,122,356 138,061,178 69,030,589 207,091,768 103,545,884 51,772,942 25,886,471 77,659,414 38,829,707 116,489,122 58,244,561 174,733,684 87,366,842 43,683,421 131,050,264 65,525,132 32,762,566 16,381,283 49,143,850 24,571,925 73,715,776 36,857,888 18,428,944 9,214,472 4,607,236 2,303,618 1,151,809 3,455,428 1,727,714 863,857 2,591,572 1,295,786 647,893 1,943,680 971,840 485,920 242,960 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252

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