117,725

5² × 17 × 277

117,725 has the prime decomposition 5^2 × 17 × 277. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 17 × 277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 155,124

Proper Divisor Sum 37,399

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #117721 ← → #117727

Radix Representation

Decimal	117725
Binary	11100101111011101 (17 bits)
Octal	0o345735
Hexadecimal	0x1CBDD

Divisor Catalog (12)

1 5 17 25 85 277 425 1,385 4,709 6,925 23,545 117,725

Collatz Trajectory (123 steps to reach 1)

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

117,725 353,176 176,588 88,294 44,147 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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