8,629,784

2³ × 23 × 46901

8,629,784 factors as 2^3 × 23 × 46901. Its 16 positive divisors give a proper-divisor sum of 8,254,936, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 46901

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,884,720

Proper Divisor Sum 8,254,936

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8629771 ← → #8629813

Radix Representation

Decimal	8629784
Binary	100000111010111000011000 (24 bits)
Octal	0o40727030
Hexadecimal	0x83AE18

Divisor Catalog (16)

1 2 4 8 23 46 92 184 46,901 93,802 187,604 375,208 1,078,723 2,157,446 4,314,892 8,629,784

Collatz Trajectory (212 steps to reach 1)

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

8,629,784 4,314,892 2,157,446 1,078,723 3,236,170 1,618,085 4,854,256 2,427,128 1,213,564 606,782 303,391 910,174 455,087 1,365,262 682,631 2,047,894 1,023,947 3,071,842 1,535,921 4,607,764 2,303,882 1,151,941 3,455,824 1,727,912 863,956 431,978 215,989 647,968 323,984 161,992 80,996 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125

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