λ
Sigma Notebook

9,708,920

23 × 5 × 13 × 18671
Abundant Even Composite

9,708,920 is even and not a perfect square. Its factorization is 2^3 × 5 × 13 × 18671 and its 32 divisors sum to 23,526,720.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 18671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,526,720
Proper Divisor Sum 13,817,800
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9708917 ← → #9708949

Radix Representation

Decimal 9708920
Binary 100101000010010101111000 (24 bits)
Octal 0o45022570
Hexadecimal 0x942578

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 18,671 37,342 74,684 93,355 149,368 186,710 242,723 373,420 485,446 746,840 970,892 1,213,615 1,941,784 2,427,230 4,854,460 9,708,920

Collatz Trajectory (114 steps to reach 1)

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

9,708,920 4,854,460 2,427,230 1,213,615 3,640,846 1,820,423 5,461,270 2,730,635 8,191,906 4,095,953 12,287,860 6,143,930 3,071,965 9,215,896 4,607,948 2,303,974 1,151,987 3,455,962 1,727,981 5,183,944 2,591,972 1,295,986 647,993 1,943,980 971,990 485,995 1,457,986 728,993 2,186,980 1,093,490 546,745 1,640,236 820,118 410,059 1,230,178 615,089 1,845,268 922,634 461,317 1,383,952 691,976 345,988 172,994 86,497 259,492 129,746 64,873 194,620 97,310 48,655 145,966 72,983 218,950 109,475 328,426 164,213 492,640 246,320 123,160 61,580

More profiles

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