117,272

2³ × 107 × 137

Starting at 117,272, the Collatz iteration reaches 1 after 105 steps. The first transition is 58636; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 107 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 223,560

Proper Divisor Sum 106,288

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #117269 ← → #117281

Radix Representation

Decimal	117272
Binary	11100101000011000 (17 bits)
Octal	0o345030
Hexadecimal	0x1CA18

Divisor Catalog (16)

1 2 4 8 107 137 214 274 428 548 856 1,096 14,659 29,318 58,636 117,272

Collatz Trajectory (105 steps to reach 1)

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

117,272 58,636 29,318 14,659 43,978 21,989 65,968 32,984 16,492 8,246 4,123 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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