λ
Sigma Notebook

9,836,560

24 × 5 × 122957
Abundant Even Composite

9,836,560 is even and not a perfect square. Its factorization is 2^4 × 5 × 122957 and its 20 divisors sum to 22,870,188.

Prime Factor Structure

Factorization String 2^4 × 5 × 122957
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,870,188
Proper Divisor Sum 13,033,628
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9836543 ← → #9836569

Radix Representation

Decimal 9836560
Binary 100101100001100000010000 (24 bits)
Octal 0o45414020
Hexadecimal 0x961810

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 122,957 245,914 491,828 614,785 983,656 1,229,570 1,967,312 2,459,140 4,918,280 9,836,560

Collatz Trajectory (145 steps to reach 1)

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

9,836,560 4,918,280 2,459,140 1,229,570 614,785 1,844,356 922,178 461,089 1,383,268 691,634 345,817 1,037,452 518,726 259,363 778,090 389,045 1,167,136 583,568 291,784 145,892 72,946 36,473 109,420 54,710 27,355 82,066 41,033 123,100 61,550 30,775 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396

More profiles

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