117,015

3 × 5 × 29 × 269

117,015 factors as 3 × 5 × 29 × 269. Its 16 positive divisors give a proper-divisor sum of 77,385, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 194,400

Proper Divisor Sum 77,385

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #116993 ← → #117017

Radix Representation

Decimal	117015
Binary	11100100100010111 (17 bits)
Octal	0o344427
Hexadecimal	0x1C917

Divisor Catalog (16)

1 3 5 15 29 87 145 269 435 807 1,345 4,035 7,801 23,403 39,005 117,015

Collatz Trajectory (167 steps to reach 1)

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

117,015 351,046 175,523 526,570 263,285 789,856 394,928 197,464 98,732 49,366 24,683 74,050 37,025 111,076 55,538 27,769 83,308 41,654 20,827 62,482 31,241 93,724 46,862 23,431 70,294 35,147 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125

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