87,106,964

2² × 7 × 3110963

87,106,964 factors as 2^2 × 7 × 3110963. Its 12 positive divisors give a proper-divisor sum of 87,107,020, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 3110963

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 174,213,984

Proper Divisor Sum 87,107,020

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #87106939 ← → #87106967

Radix Representation

Decimal	87106964
Binary	101001100010010010110010100 (27 bits)
Octal	0o514222624
Hexadecimal	0x5312594

Divisor Catalog (12)

1 2 4 7 14 28 3,110,963 6,221,926 12,443,852 21,776,741 43,553,482 87,106,964

Collatz Trajectory (117 steps to reach 1)

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

87,106,964 43,553,482 21,776,741 65,330,224 32,665,112 16,332,556 8,166,278 4,083,139 12,249,418 6,124,709 18,374,128 9,187,064 4,593,532 2,296,766 1,148,383 3,445,150 1,722,575 5,167,726 2,583,863 7,751,590 3,875,795 11,627,386 5,813,693 17,441,080 8,720,540 4,360,270 2,180,135 6,540,406 3,270,203 9,810,610 4,905,305 14,715,916 7,357,958 3,678,979 11,036,938 5,518,469 16,555,408 8,277,704 4,138,852 2,069,426 1,034,713 3,104,140 1,552,070 776,035 2,328,106 1,164,053 3,492,160 1,746,080 873,040 436,520 218,260 109,130 54,565 163,696 81,848 40,924 20,462 10,231 30,694 15,347

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