13,633,182

2 × 3² × 101 × 7499

13,633,182 factors as 2 × 3^2 × 101 × 7499. Its 24 positive divisors give a proper-divisor sum of 16,201,818, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 101 × 7499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 29,835,000

Proper Divisor Sum 16,201,818

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #13633171 ← → #13633199

Radix Representation

Decimal	13633182
Binary	110100000000011010011110 (24 bits)
Octal	0o64003236
Hexadecimal	0xD0069E

Divisor Catalog (24)

Collatz Trajectory (254 steps to reach 1)

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

13,633,182 6,816,591 20,449,774 10,224,887 30,674,662 15,337,331 46,011,994 23,005,997 69,017,992 34,508,996 17,254,498 8,627,249 25,881,748 12,940,874 6,470,437 19,411,312 9,705,656 4,852,828 2,426,414 1,213,207 3,639,622 1,819,811 5,459,434 2,729,717 8,189,152 4,094,576 2,047,288 1,023,644 511,822 255,911 767,734 383,867 1,151,602 575,801 1,727,404 863,702 431,851 1,295,554 647,777 1,943,332 971,666 485,833 1,457,500 728,750 364,375 1,093,126 546,563 1,639,690 819,845 2,459,536 1,229,768 614,884 307,442 153,721 461,164 230,582 115,291 345,874 172,937 518,812

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