13,088,045

5 × 17 × 31 × 4967

13,088,045 factors as 5 × 17 × 31 × 4967. Its 16 positive divisors give a proper-divisor sum of 4,081,363, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 5 × 17 × 31 × 4967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,169,408

Proper Divisor Sum 4,081,363

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #13088003 ← → #13088051

Radix Representation

Decimal	13088045
Binary	110001111011010100101101 (24 bits)
Octal	0o61732455
Hexadecimal	0xC7B52D

Divisor Catalog (16)

1 5 17 31 85 155 527 2,635 4,967 24,835 84,439 153,977 422,195 769,885 2,617,609 13,088,045

Collatz Trajectory (166 steps to reach 1)

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

13,088,045 39,264,136 19,632,068 9,816,034 4,908,017 14,724,052 7,362,026 3,681,013 11,043,040 5,521,520 2,760,760 1,380,380 690,190 345,095 1,035,286 517,643 1,552,930 776,465 2,329,396 1,164,698 582,349 1,747,048 873,524 436,762 218,381 655,144 327,572 163,786 81,893 245,680 122,840 61,420 30,710 15,355 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024

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