λ
Sigma Notebook

9,112,532

22 × 11 × 13 × 89 × 179
Abundant Even Composite

9,112,532 is even and not a perfect square. Its factorization is 2^2 × 11 × 13 × 89 × 179 and its 48 divisors sum to 19,051,200.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 89 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,051,200
Proper Divisor Sum 9,938,668
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9112529 ← → #9112541

Radix Representation

Decimal 9112532
Binary 100010110000101111010100 (24 bits)
Octal 0o42605724
Hexadecimal 0x8B0BD4

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 89 143 178 179 286 356 358 572 716 979 1,157 1,958 1,969 2,314 2,327 3,916 3,938 4,628 4,654 7,876 9,308 12,727 15,931 25,454 25,597 31,862 50,908 51,194 63,724 102,388 175,241 207,103 350,482 414,206 700,964 828,412 2,278,133 4,556,266 9,112,532

Collatz Trajectory (181 steps to reach 1)

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

9,112,532 4,556,266 2,278,133 6,834,400 3,417,200 1,708,600 854,300 427,150 213,575 640,726 320,363 961,090 480,545 1,441,636 720,818 360,409 1,081,228 540,614 270,307 810,922 405,461 1,216,384 608,192 304,096 152,048 76,024 38,012 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638

More profiles

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