31,235,624

2³ × 7 × 557779

31,235,624 factors as 2^3 × 7 × 557779. Its 16 positive divisors give a proper-divisor sum of 35,697,976, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 557779

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 66,933,600

Proper Divisor Sum 35,697,976

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #31235623 ← → #31235629

Radix Representation

Decimal	31235624
Binary	1110111001001111000101000 (25 bits)
Octal	0o167117050
Hexadecimal	0x1DC9E28

Divisor Catalog (16)

1 2 4 7 8 14 28 56 557,779 1,115,558 2,231,116 3,904,453 4,462,232 7,808,906 15,617,812 31,235,624

Collatz Trajectory (188 steps to reach 1)

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

31,235,624 15,617,812 7,808,906 3,904,453 11,713,360 5,856,680 2,928,340 1,464,170 732,085 2,196,256 1,098,128 549,064 274,532 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295 219,886 109,943 329,830 164,915 494,746 247,373 742,120 371,060 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506

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