17,525,745

3² × 5 × 389461

17,525,745 factors as 3^2 × 5 × 389461. Its 12 positive divisors give a proper-divisor sum of 12,852,291, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 389461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 30,378,036

Proper Divisor Sum 12,852,291

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17525743 ← → #17525749

Radix Representation

Decimal	17525745
Binary	1000010110110101111110001 (25 bits)
Octal	0o102665761
Hexadecimal	0x10B6BF1

Divisor Catalog (12)

1 3 5 9 15 45 389,461 1,168,383 1,947,305 3,505,149 5,841,915 17,525,745

Collatz Trajectory (89 steps to reach 1)

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

17,525,745 52,577,236 26,288,618 13,144,309 39,432,928 19,716,464 9,858,232 4,929,116 2,464,558 1,232,279 3,696,838 1,848,419 5,545,258 2,772,629 8,317,888 4,158,944 2,079,472 1,039,736 519,868 259,934 129,967 389,902 194,951 584,854 292,427 877,282 438,641 1,315,924 657,962 328,981 986,944 493,472 246,736 123,368 61,684 30,842 15,421 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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