115,933

115933

Starting at 115,933, the Collatz iteration reaches 1 after 167 steps. The first transition is 347800; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 115933

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 115,934

Proper Divisor Sum 1

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #115931 ← → #115963

Radix Representation

Decimal	115933
Binary	11100010011011101 (17 bits)
Octal	0o342335
Hexadecimal	0x1C4DD

Divisor Catalog (2)

1 115,933

Collatz Trajectory (167 steps to reach 1)

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

115,933 347,800 173,900 86,950 43,475 130,426 65,213 195,640 97,820 48,910 24,455 73,366 36,683 110,050 55,025 165,076 82,538 41,269 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125

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