88,122,575

5² × 3524903

88,122,575 factors as 5^2 × 3524903. Its 6 positive divisors give a proper-divisor sum of 21,149,449, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 5^2 × 3524903

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 109,272,024

Proper Divisor Sum 21,149,449

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #88122569 ← → #88122581

Radix Representation

Decimal	88122575
Binary	101010000001010010011001111 (27 bits)
Octal	0o520122317
Hexadecimal	0x540A4CF

Divisor Catalog (6)

1 5 25 3,524,903 17,624,515 88,122,575

Collatz Trajectory (112 steps to reach 1)

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

88,122,575 264,367,726 132,183,863 396,551,590 198,275,795 594,827,386 297,413,693 892,241,080 446,120,540 223,060,270 111,530,135 334,590,406 167,295,203 501,885,610 250,942,805 752,828,416 376,414,208 188,207,104 94,103,552 47,051,776 23,525,888 11,762,944 5,881,472 2,940,736 1,470,368 735,184 367,592 183,796 91,898 45,949 137,848 68,924 34,462 17,231 51,694 25,847 77,542 38,771 116,314 58,157 174,472 87,236 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532

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