88,765,348

2² × 7 × 79 × 40129

88,765,348 factors as 2^2 × 7 × 79 × 40129. Its 24 positive divisors give a proper-divisor sum of 91,017,052, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 79 × 40129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 179,782,400

Proper Divisor Sum 91,017,052

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #88765333 ← → #88765351

Radix Representation

Decimal	88765348
Binary	101010010100111001110100100 (27 bits)
Octal	0o522471644
Hexadecimal	0x54A73A4

Divisor Catalog (24)

Collatz Trajectory (143 steps to reach 1)

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

88,765,348 44,382,674 22,191,337 66,574,012 33,287,006 16,643,503 49,930,510 24,965,255 74,895,766 37,447,883 112,343,650 56,171,825 168,515,476 84,257,738 42,128,869 126,386,608 63,193,304 31,596,652 15,798,326 7,899,163 23,697,490 11,848,745 35,546,236 17,773,118 8,886,559 26,659,678 13,329,839 39,989,518 19,994,759 59,984,278 29,992,139 89,976,418 44,988,209 134,964,628 67,482,314 33,741,157 101,223,472 50,611,736 25,305,868 12,652,934 6,326,467 18,979,402 9,489,701 28,469,104 14,234,552 7,117,276 3,558,638 1,779,319 5,337,958 2,668,979 8,006,938 4,003,469 12,010,408 6,005,204 3,002,602 1,501,301 4,503,904 2,251,952 1,125,976 562,988

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