117,282

2 × 3 × 11 × 1777

117,282 factors as 2 × 3 × 11 × 1777. Its 16 positive divisors give a proper-divisor sum of 138,750, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 1777

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 256,032

Proper Divisor Sum 138,750

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #117281 ← → #117307

Radix Representation

Decimal	117282
Binary	11100101000100010 (17 bits)
Octal	0o345042
Hexadecimal	0x1CA22

Divisor Catalog (16)

1 2 3 6 11 22 33 66 1,777 3,554 5,331 10,662 19,547 39,094 58,641 117,282

Collatz Trajectory (105 steps to reach 1)

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

117,282 58,641 175,924 87,962 43,981 131,944 65,972 32,986 16,493 49,480 24,740 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468

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