λ
Sigma Notebook

2,342,560

25 × 5 × 114
Abundant Even Composite

2,342,560 is even and not a perfect square. Its factorization is 2^5 × 5 × 11^4 and its 60 divisors sum to 6,087,690.

Prime Factor Structure

Factorization String 2^5 × 5 × 11^4
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,087,690
Proper Divisor Sum 3,745,130
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2342539 ← → #2342609

Radix Representation

Decimal 2342560
Binary 1000111011111010100000 (22 bits)
Octal 0o10737240
Hexadecimal 0x23BEA0

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1,210 1,331 1,760 1,936 2,420 2,662 3,872 4,840 5,324 6,655 9,680 10,648 13,310 14,641 19,360 21,296 26,620 29,282 42,592 53,240 58,564 73,205 106,480 117,128 146,410 212,960 234,256 292,820 468,512 585,640 1,171,280 2,342,560

Collatz Trajectory (130 steps to reach 1)

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

2,342,560 1,171,280 585,640 292,820 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863

More profiles

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