97,102,432

2⁵ × 7 × 41 × 97 × 109

97,102,432 factors as 2^5 × 7 × 41 × 97 × 109. Its 96 positive divisors give a proper-divisor sum of 131,088,608, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 41 × 97 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 228,191,040

Proper Divisor Sum 131,088,608

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #97102429 ← → #97102433

Radix Representation

Decimal	97102432
Binary	101110010011010101001100000 (27 bits)
Octal	0o562325140
Hexadecimal	0x5C9AA60

Divisor Catalog (60 of 96)

1 2 4 7 8 14 16 28 32 41 56 82 97 109 112 164 194 218 224 287 328 388 436 574 656 679 763 776 872 1,148 1,312 1,358 1,526 1,552 1,744 2,296 2,716 3,052 3,104 3,488 3,977 4,469 4,592 5,432 6,104 7,954 8,938 9,184 10,573 10,864 12,208 15,908 17,876 21,146 21,728 24,416 27,839 31,283 31,816 35,752

Collatz Trajectory (156 steps to reach 1)

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

97,102,432 48,551,216 24,275,608 12,137,804 6,068,902 3,034,451 9,103,354 4,551,677 13,655,032 6,827,516 3,413,758 1,706,879 5,120,638 2,560,319 7,680,958 3,840,479 11,521,438 5,760,719 17,282,158 8,641,079 25,923,238 12,961,619 38,884,858 19,442,429 58,327,288 29,163,644 14,581,822 7,290,911 21,872,734 10,936,367 32,809,102 16,404,551 49,213,654 24,606,827 73,820,482 36,910,241 110,730,724 55,365,362 27,682,681 83,048,044 41,524,022 20,762,011 62,286,034 31,143,017 93,429,052 46,714,526 23,357,263 70,071,790 35,035,895 105,107,686 52,553,843 157,661,530 78,830,765 236,492,296 118,246,148 59,123,074 29,561,537 88,684,612 44,342,306 22,171,153

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #97,102,431 Browse Full Index Next Integer #97,102,433 →