17,564,488

2³ × 29 × 75709

17,564,488 factors as 2^3 × 29 × 75709. Its 16 positive divisors give a proper-divisor sum of 16,505,012, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 75709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 34,069,500

Proper Divisor Sum 16,505,012

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #17564483 ← → #17564489

Radix Representation

Decimal	17564488
Binary	1000011000000001101001000 (25 bits)
Octal	0o103001510
Hexadecimal	0x10C0348

Divisor Catalog (16)

1 2 4 8 29 58 116 232 75,709 151,418 302,836 605,672 2,195,561 4,391,122 8,782,244 17,564,488

Collatz Trajectory (213 steps to reach 1)

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

17,564,488 8,782,244 4,391,122 2,195,561 6,586,684 3,293,342 1,646,671 4,940,014 2,470,007 7,410,022 3,705,011 11,115,034 5,557,517 16,672,552 8,336,276 4,168,138 2,084,069 6,252,208 3,126,104 1,563,052 781,526 390,763 1,172,290 586,145 1,758,436 879,218 439,609 1,318,828 659,414 329,707 989,122 494,561 1,483,684 741,842 370,921 1,112,764 556,382 278,191 834,574 417,287 1,251,862 625,931 1,877,794 938,897 2,816,692 1,408,346 704,173 2,112,520 1,056,260 528,130 264,065 792,196 396,098 198,049 594,148 297,074 148,537 445,612 222,806 111,403

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