13,151,007

3² × 29 × 50387

13,151,007 factors as 3^2 × 29 × 50387. Its 12 positive divisors give a proper-divisor sum of 6,500,313, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 50387

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,651,320

Proper Divisor Sum 6,500,313

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #13150999 ← → #13151027

Radix Representation

Decimal	13151007
Binary	110010001010101100011111 (24 bits)
Octal	0o62125437
Hexadecimal	0xC8AB1F

Divisor Catalog (12)

1 3 9 29 87 261 50,387 151,161 453,483 1,461,223 4,383,669 13,151,007

Collatz Trajectory (197 steps to reach 1)

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

13,151,007 39,453,022 19,726,511 59,179,534 29,589,767 88,769,302 44,384,651 133,153,954 66,576,977 199,730,932 99,865,466 49,932,733 149,798,200 74,899,100 37,449,550 18,724,775 56,174,326 28,087,163 84,261,490 42,130,745 126,392,236 63,196,118 31,598,059 94,794,178 47,397,089 142,191,268 71,095,634 35,547,817 106,643,452 53,321,726 26,660,863 79,982,590 39,991,295 119,973,886 59,986,943 179,960,830 89,980,415 269,941,246 134,970,623 404,911,870 202,455,935 607,367,806 303,683,903 911,051,710 455,525,855 1,366,577,566 683,288,783 2,049,866,350 1,024,933,175 3,074,799,526 1,537,399,763 4,612,199,290 2,306,099,645 6,918,298,936 3,459,149,468 1,729,574,734 864,787,367 2,594,362,102 1,297,181,051 3,891,543,154

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