17,836,732

2² × 937 × 4759

17,836,732 factors as 2^2 × 937 × 4759. Its 12 positive divisors give a proper-divisor sum of 13,417,428, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 937 × 4759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,254,160

Proper Divisor Sum 13,417,428

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17836717 ← → #17836733

Radix Representation

Decimal	17836732
Binary	1000100000010101010111100 (25 bits)
Octal	0o104025274
Hexadecimal	0x1102ABC

Divisor Catalog (12)

1 2 4 937 1,874 3,748 4,759 9,518 19,036 4,459,183 8,918,366 17,836,732

Collatz Trajectory (164 steps to reach 1)

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

17,836,732 8,918,366 4,459,183 13,377,550 6,688,775 20,066,326 10,033,163 30,099,490 15,049,745 45,149,236 22,574,618 11,287,309 33,861,928 16,930,964 8,465,482 4,232,741 12,698,224 6,349,112 3,174,556 1,587,278 793,639 2,380,918 1,190,459 3,571,378 1,785,689 5,357,068 2,678,534 1,339,267 4,017,802 2,008,901 6,026,704 3,013,352 1,506,676 753,338 376,669 1,130,008 565,004 282,502 141,251 423,754 211,877 635,632 317,816 158,908 79,454 39,727 119,182 59,591 178,774 89,387 268,162 134,081 402,244 201,122 100,561 301,684 150,842 75,421 226,264 113,132

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