17,516,025

3² × 5² × 77849

17,516,025 factors as 3^2 × 5^2 × 77849. Its 18 positive divisors give a proper-divisor sum of 13,857,525, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 77849

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 31,373,550

Proper Divisor Sum 13,857,525

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17516003 ← → #17516027

Radix Representation

Decimal	17516025
Binary	1000010110100010111111001 (25 bits)
Octal	0o102642771
Hexadecimal	0x10B45F9

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 77,849 233,547 389,245 700,641 1,167,735 1,946,225 3,503,205 5,838,675 17,516,025

Collatz Trajectory (169 steps to reach 1)

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

17,516,025 52,548,076 26,274,038 13,137,019 39,411,058 19,705,529 59,116,588 29,558,294 14,779,147 44,337,442 22,168,721 66,506,164 33,253,082 16,626,541 49,879,624 24,939,812 12,469,906 6,234,953 18,704,860 9,352,430 4,676,215 14,028,646 7,014,323 21,042,970 10,521,485 31,564,456 15,782,228 7,891,114 3,945,557 11,836,672 5,918,336 2,959,168 1,479,584 739,792 369,896 184,948 92,474 46,237 138,712 69,356 34,678 17,339 52,018 26,009 78,028 39,014 19,507 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520

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