117,115

5 × 59 × 397

Starting at 117,115, the Collatz iteration reaches 1 after 61 steps. The first transition is 351346; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 59 × 397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 143,280

Proper Divisor Sum 26,165

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #117109 ← → #117119

Radix Representation

Decimal	117115
Binary	11100100101111011 (17 bits)
Octal	0o344573
Hexadecimal	0x1C97B

Divisor Catalog (8)

1 5 59 295 397 1,985 23,423 117,115

Collatz Trajectory (61 steps to reach 1)

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

117,115 351,346 175,673 527,020 263,510 131,755 395,266 197,633 592,900 296,450 148,225 444,676 222,338 111,169 333,508 166,754 83,377 250,132 125,066 62,533 187,600 93,800 46,900 23,450 11,725 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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