117,255

3 × 5 × 7817

Starting at 117,255, the Collatz iteration reaches 1 after 167 steps. The first transition is 351766; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 187,632

Proper Divisor Sum 70,377

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #117251 ← → #117259

Radix Representation

Decimal	117255
Binary	11100101000000111 (17 bits)
Octal	0o345007
Hexadecimal	0x1CA07

Divisor Catalog (8)

1 3 5 15 7,817 23,451 39,085 117,255

Collatz Trajectory (167 steps to reach 1)

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

117,255 351,766 175,883 527,650 263,825 791,476 395,738 197,869 593,608 296,804 148,402 74,201 222,604 111,302 55,651 166,954 83,477 250,432 125,216 62,608 31,304 15,652 7,826 3,913 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125

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