113,936

2⁴ × 7121

Starting at 113,936, the Collatz iteration reaches 1 after 154 steps. The first transition is 56968; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7121

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 220,782

Proper Divisor Sum 106,846

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #113933 ← → #113947

Radix Representation

Decimal	113936
Binary	11011110100010000 (17 bits)
Octal	0o336420
Hexadecimal	0x1BD10

Divisor Catalog (10)

1 2 4 8 16 7,121 14,242 28,484 56,968 113,936

Collatz Trajectory (154 steps to reach 1)

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

113,936 56,968 28,484 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728

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