102,117

3 × 34039

102,117 factors as 3 × 34039. Its 4 positive divisors give a proper-divisor sum of 34,043, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 34039

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 136,160

Proper Divisor Sum 34,043

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #102107 ← → #102121

Radix Representation

Decimal	102117
Binary	11000111011100101 (17 bits)
Octal	0o307345
Hexadecimal	0x18EE5

Divisor Catalog (4)

1 3 34,039 102,117

Collatz Trajectory (159 steps to reach 1)

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

102,117 306,352 153,176 76,588 38,294 19,147 57,442 28,721 86,164 43,082 21,541 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892

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