λ
Sigma Notebook

2,232,096

25 × 3 × 23251
Abundant Even Composite

2,232,096 is even and not a perfect square. Its factorization is 2^5 × 3 × 23251 and its 24 divisors sum to 5,859,504.

Prime Factor Structure

Factorization String 2^5 × 3 × 23251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,859,504
Proper Divisor Sum 3,627,408
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2232071 ← → #2232107

Radix Representation

Decimal 2232096
Binary 1000100000111100100000 (22 bits)
Octal 0o10407440
Hexadecimal 0x220F20

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 23,251 46,502 69,753 93,004 139,506 186,008 279,012 372,016 558,024 744,032 1,116,048 2,232,096

Collatz Trajectory (117 steps to reach 1)

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

2,232,096 1,116,048 558,024 279,012 139,506 69,753 209,260 104,630 52,315 156,946 78,473 235,420 117,710 58,855 176,566 88,283 264,850 132,425 397,276 198,638 99,319 297,958 148,979 446,938 223,469 670,408 335,204 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832 141,416 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362

More profiles

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