112,258

2 × 37² × 41

112,258 is even and not a perfect square. Its factorization is 2 × 37^2 × 41 and its 12 divisors sum to 177,282.

Prime Factor Structure

Factorization String 2 × 37^2 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 177,282

Proper Divisor Sum 65,024

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #112253 ← → #112261

Radix Representation

Decimal	112258
Binary	11011011010000010 (17 bits)
Octal	0o333202
Hexadecimal	0x1B682

Divisor Catalog (12)

1 2 37 41 74 82 1,369 1,517 2,738 3,034 56,129 112,258

Collatz Trajectory (61 steps to reach 1)

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

112,258 56,129 168,388 84,194 42,097 126,292 63,146 31,573 94,720 47,360 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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