87,531,016

2³ × 659 × 16603

87,531,016 factors as 2^3 × 659 × 16603. Its 16 positive divisors give a proper-divisor sum of 76,848,584, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 659 × 16603

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 164,379,600

Proper Divisor Sum 76,848,584

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #87531007 ← → #87531049

Radix Representation

Decimal	87531016
Binary	101001101111001111000001000 (27 bits)
Octal	0o515717010
Hexadecimal	0x5379E08

Divisor Catalog (16)

1 2 4 8 659 1,318 2,636 5,272 16,603 33,206 66,412 132,824 10,941,377 21,882,754 43,765,508 87,531,016

Collatz Trajectory (112 steps to reach 1)

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

87,531,016 43,765,508 21,882,754 10,941,377 32,824,132 16,412,066 8,206,033 24,618,100 12,309,050 6,154,525 18,463,576 9,231,788 4,615,894 2,307,947 6,923,842 3,461,921 10,385,764 5,192,882 2,596,441 7,789,324 3,894,662 1,947,331 5,841,994 2,920,997 8,762,992 4,381,496 2,190,748 1,095,374 547,687 1,643,062 821,531 2,464,594 1,232,297 3,696,892 1,848,446 924,223 2,772,670 1,386,335 4,159,006 2,079,503 6,238,510 3,119,255 9,357,766 4,678,883 14,036,650 7,018,325 21,054,976 10,527,488 5,263,744 2,631,872 1,315,936 657,968 328,984 164,492 82,246 41,123 123,370 61,685 185,056 92,528

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