87,635,252

2² × 2741 × 7993

87,635,252 factors as 2^2 × 2741 × 7993. Its 12 positive divisors give a proper-divisor sum of 65,801,584, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^2 × 2741 × 7993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 153,436,836

Proper Divisor Sum 65,801,584

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #87635183 ← → #87635269

Radix Representation

Decimal	87635252
Binary	101001110010011010100110100 (27 bits)
Octal	0o516232464
Hexadecimal	0x5393534

Divisor Catalog (12)

1 2 4 2,741 5,482 7,993 10,964 15,986 31,972 21,908,813 43,817,626 87,635,252

Collatz Trajectory (205 steps to reach 1)

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

87,635,252 43,817,626 21,908,813 65,726,440 32,863,220 16,431,610 8,215,805 24,647,416 12,323,708 6,161,854 3,080,927 9,242,782 4,621,391 13,864,174 6,932,087 20,796,262 10,398,131 31,194,394 15,597,197 46,791,592 23,395,796 11,697,898 5,848,949 17,546,848 8,773,424 4,386,712 2,193,356 1,096,678 548,339 1,645,018 822,509 2,467,528 1,233,764 616,882 308,441 925,324 462,662 231,331 693,994 346,997 1,040,992 520,496 260,248 130,124 65,062 32,531 97,594 48,797 146,392 73,196 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644

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