13,428,009

3² × 7² × 30449

13,428,009 factors as 3^2 × 7^2 × 30449. Its 18 positive divisors give a proper-divisor sum of 9,135,441, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 30449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 22,563,450

Proper Divisor Sum 9,135,441

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #13427983 ← → #13428049

Radix Representation

Decimal	13428009
Binary	110011001110010100101001 (24 bits)
Octal	0o63162451
Hexadecimal	0xCCE529

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 30,449 91,347 213,143 274,041 639,429 1,492,001 1,918,287 4,476,003 13,428,009

Collatz Trajectory (117 steps to reach 1)

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

13,428,009 40,284,028 20,142,014 10,071,007 30,213,022 15,106,511 45,319,534 22,659,767 67,979,302 33,989,651 101,968,954 50,984,477 152,953,432 76,476,716 38,238,358 19,119,179 57,357,538 28,678,769 86,036,308 43,018,154 21,509,077 64,527,232 32,263,616 16,131,808 8,065,904 4,032,952 2,016,476 1,008,238 504,119 1,512,358 756,179 2,268,538 1,134,269 3,402,808 1,701,404 850,702 425,351 1,276,054 638,027 1,914,082 957,041 2,871,124 1,435,562 717,781 2,153,344 1,076,672 538,336 269,168 134,584 67,292 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195

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