13,165,407

3² × 23 × 63601

13,165,407 factors as 3^2 × 23 × 63601. Its 12 positive divisors give a proper-divisor sum of 6,678,417, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 63601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,843,824

Proper Divisor Sum 6,678,417

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #13165403 ← → #13165417

Radix Representation

Decimal	13165407
Binary	110010001110001101011111 (24 bits)
Octal	0o62161537
Hexadecimal	0xC8E35F

Divisor Catalog (12)

1 3 9 23 69 207 63,601 190,803 572,409 1,462,823 4,388,469 13,165,407

Collatz Trajectory (223 steps to reach 1)

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

13,165,407 39,496,222 19,748,111 59,244,334 29,622,167 88,866,502 44,433,251 133,299,754 66,649,877 199,949,632 99,974,816 49,987,408 24,993,704 12,496,852 6,248,426 3,124,213 9,372,640 4,686,320 2,343,160 1,171,580 585,790 292,895 878,686 439,343 1,318,030 659,015 1,977,046 988,523 2,965,570 1,482,785 4,448,356 2,224,178 1,112,089 3,336,268 1,668,134 834,067 2,502,202 1,251,101 3,753,304 1,876,652 938,326 469,163 1,407,490 703,745 2,111,236 1,055,618 527,809 1,583,428 791,714 395,857 1,187,572 593,786 296,893 890,680 445,340 222,670 111,335 334,006 167,003 501,010

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