8,913,625

5³ × 7 × 61 × 167

8,913,625 factors as 5^3 × 7 × 61 × 167. Its 32 positive divisors give a proper-divisor sum of 4,085,543, so this integer is deficient. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 61 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,999,168

Proper Divisor Sum 4,085,543

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8913623 ← → #8913677

Radix Representation

Decimal	8913625
Binary	100010000000001011011001 (24 bits)
Octal	0o42001331
Hexadecimal	0x8802D9

Divisor Catalog (32)

Collatz Trajectory (318 steps to reach 1)

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

8,913,625 26,740,876 13,370,438 6,685,219 20,055,658 10,027,829 30,083,488 15,041,744 7,520,872 3,760,436 1,880,218 940,109 2,820,328 1,410,164 705,082 352,541 1,057,624 528,812 264,406 132,203 396,610 198,305 594,916 297,458 148,729 446,188 223,094 111,547 334,642 167,321 501,964 250,982 125,491 376,474 188,237 564,712 282,356 141,178 70,589 211,768 105,884 52,942 26,471 79,414 39,707 119,122 59,561 178,684 89,342 44,671 134,014 67,007 201,022 100,511 301,534 150,767 452,302 226,151 678,454 339,227

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