112,105

5 × 7 × 3203

For 112,105, the 8 positive divisors have a total of 153,792. Removing 112,105 leaves 41,687, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 3203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 153,792

Proper Divisor Sum 41,687

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #112103 ← → #112111

Radix Representation

Decimal	112105
Binary	11011010111101001 (17 bits)
Octal	0o332751
Hexadecimal	0x1B5E9

Divisor Catalog (8)

1 5 7 35 3,203 16,015 22,421 112,105

Collatz Trajectory (216 steps to reach 1)

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

112,105 336,316 168,158 84,079 252,238 126,119 378,358 189,179 567,538 283,769 851,308 425,654 212,827 638,482 319,241 957,724 478,862 239,431 718,294 359,147 1,077,442 538,721 1,616,164 808,082 404,041 1,212,124 606,062 303,031 909,094 454,547 1,363,642 681,821 2,045,464 1,022,732 511,366 255,683 767,050 383,525 1,150,576 575,288 287,644 143,822 71,911 215,734 107,867 323,602 161,801 485,404 242,702 121,351 364,054 182,027 546,082 273,041 819,124 409,562 204,781 614,344 307,172 153,586

← Previous Integer #112,104 Browse Full Index Next Integer #112,106 →