17,565,925

5² × 13 × 54049

17,565,925 factors as 5^2 × 13 × 54049. Its 12 positive divisors give a proper-divisor sum of 5,891,775, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 54049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,457,700

Proper Divisor Sum 5,891,775

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #17565923 ← → #17565943

Radix Representation

Decimal	17565925
Binary	1000011000000100011100101 (25 bits)
Octal	0o103004345
Hexadecimal	0x10C08E5

Divisor Catalog (12)

1 5 13 25 65 325 54,049 270,245 702,637 1,351,225 3,513,185 17,565,925

Collatz Trajectory (89 steps to reach 1)

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

17,565,925 52,697,776 26,348,888 13,174,444 6,587,222 3,293,611 9,880,834 4,940,417 14,821,252 7,410,626 3,705,313 11,115,940 5,557,970 2,778,985 8,336,956 4,168,478 2,084,239 6,252,718 3,126,359 9,379,078 4,689,539 14,068,618 7,034,309 21,102,928 10,551,464 5,275,732 2,637,866 1,318,933 3,956,800 1,978,400 989,200 494,600 247,300 123,650 61,825 185,476 92,738 46,369 139,108 69,554 34,777 104,332 52,166 26,083 78,250 39,125 117,376 58,688 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86

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