λ
Sigma Notebook

9,627,624

23 × 32 × 133717
Abundant Even Composite

9,627,624 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 133717 and its 24 divisors sum to 26,075,010.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 133717
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,075,010
Proper Divisor Sum 16,447,386
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9627613 ← → #9627649

Radix Representation

Decimal 9627624
Binary 100100101110011111101000 (24 bits)
Octal 0o44563750
Hexadecimal 0x92E7E8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 133,717 267,434 401,151 534,868 802,302 1,069,736 1,203,453 1,604,604 2,406,906 3,209,208 4,813,812 9,627,624

Collatz Trajectory (93 steps to reach 1)

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

9,627,624 4,813,812 2,406,906 1,203,453 3,610,360 1,805,180 902,590 451,295 1,353,886 676,943 2,030,830 1,015,415 3,046,246 1,523,123 4,569,370 2,284,685 6,854,056 3,427,028 1,713,514 856,757 2,570,272 1,285,136 642,568 321,284 160,642 80,321 240,964 120,482 60,241 180,724 90,362 45,181 135,544 67,772 33,886 16,943 50,830 25,415 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069

More profiles

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