11,629,161

3² × 71 × 18199

11,629,161 factors as 3^2 × 71 × 18199. Its 12 positive divisors give a proper-divisor sum of 5,406,039, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^2 × 71 × 18199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,035,200

Proper Divisor Sum 5,406,039

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #11629151 ← → #11629181

Radix Representation

Decimal	11629161
Binary	101100010111001001101001 (24 bits)
Octal	0o54271151
Hexadecimal	0xB17269

Divisor Catalog (12)

1 3 9 71 213 639 18,199 54,597 163,791 1,292,129 3,876,387 11,629,161

Collatz Trajectory (96 steps to reach 1)

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

11,629,161 34,887,484 17,443,742 8,721,871 26,165,614 13,082,807 39,248,422 19,624,211 58,872,634 29,436,317 88,308,952 44,154,476 22,077,238 11,038,619 33,115,858 16,557,929 49,673,788 24,836,894 12,418,447 37,255,342 18,627,671 55,883,014 27,941,507 83,824,522 41,912,261 125,736,784 62,868,392 31,434,196 15,717,098 7,858,549 23,575,648 11,787,824 5,893,912 2,946,956 1,473,478 736,739 2,210,218 1,105,109 3,315,328 1,657,664 828,832 414,416 207,208 103,604 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050

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