87,354,528

2⁵ × 3 × 31 × 149 × 197

87,354,528 factors as 2^5 × 3 × 31 × 149 × 197. Its 96 positive divisors give a proper-divisor sum of 152,146,272, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 31 × 149 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 239,500,800

Proper Divisor Sum 152,146,272

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #87354523 ← → #87354563

Radix Representation

Decimal	87354528
Binary	101001101001110110010100000 (27 bits)
Octal	0o515166240
Hexadecimal	0x534ECA0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 149 186 197 248 298 372 394 447 496 591 596 744 788 894 992 1,182 1,192 1,488 1,576 1,788 2,364 2,384 2,976 3,152 3,576 4,619 4,728 4,768 6,107 6,304 7,152 9,238 9,456 12,214 13,857 14,304 18,321 18,476 18,912 24,428 27,714 29,353 36,642 36,952

Collatz Trajectory (68 steps to reach 1)

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

87,354,528 43,677,264 21,838,632 10,919,316 5,459,658 2,729,829 8,189,488 4,094,744 2,047,372 1,023,686 511,843 1,535,530 767,765 2,303,296 1,151,648 575,824 287,912 143,956 71,978 35,989 107,968 53,984 26,992 13,496 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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