λ
Ratio Atlas

8,416,976

24 × 79 × 6659
Deficient Even Composite

8,416,976 factors as 2^4 × 79 × 6659. Its 20 positive divisors give a proper-divisor sum of 8,099,824, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^4 × 79 × 6659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,516,800
Proper Divisor Sum 8,099,824
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8416951 ← → #8417021

Radix Representation

Decimal 8416976
Binary 100000000110111011010000 (24 bits)
Octal 0o40067320
Hexadecimal 0x806ED0

Divisor Catalog (20)

1 2 4 8 16 79 158 316 632 1,264 6,659 13,318 26,636 53,272 106,544 526,061 1,052,122 2,104,244 4,208,488 8,416,976

Collatz Trajectory (199 steps to reach 1)

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

8,416,976 4,208,488 2,104,244 1,052,122 526,061 1,578,184 789,092 394,546 197,273 591,820 295,910 147,955 443,866 221,933 665,800 332,900 166,450 83,225 249,676 124,838 62,419 187,258 93,629 280,888 140,444 70,222 35,111 105,334 52,667 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900

More profiles

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