3,310,164

2² × 3² × 11 × 13 × 643

3,310,164 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 11 × 13 × 643 and its 72 divisors sum to 9,845,472.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13 × 643

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,845,472

Proper Divisor Sum 6,535,308

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3310141 ← → #3310169

Radix Representation

Decimal	3310164
Binary	1100101000001001010100 (22 bits)
Octal	0o14501124
Hexadecimal	0x328254

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 643 858 1,286 1,287 1,716 1,929 2,572 2,574 3,858 5,148 5,787 7,073 7,716 8,359 11,574 14,146 16,718 21,219 23,148 25,077 28,292 33,436 42,438 50,154 63,657 75,231 84,876 91,949 100,308

Collatz Trajectory (146 steps to reach 1)

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

3,310,164 1,655,082 827,541 2,482,624 1,241,312 620,656 310,328 155,164 77,582 38,791 116,374 58,187 174,562 87,281 261,844 130,922 65,461 196,384 98,192 49,096 24,548 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503

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