λ
Harmonic Matrix

8,680,610

2 × 5 × 787 × 1103
Deficient Even Composite

8,680,610 has digital root 2. The neighboring primes are 8680601 and 8680613; its proper-divisor sum differs from the starting integer by -1,702,084.

Prime Factor Structure

Factorization String 2 × 5 × 787 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,659,136
Proper Divisor Sum 6,978,526
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8680601 ← → #8680613

Radix Representation

Decimal 8680610
Binary 100001000111010010100010 (24 bits)
Octal 0o41072242
Hexadecimal 0x8474A2

Divisor Catalog (16)

1 2 5 10 787 1,103 1,574 2,206 3,935 5,515 7,870 11,030 868,061 1,736,122 4,340,305 8,680,610

Collatz Trajectory (119 steps to reach 1)

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

8,680,610 4,340,305 13,020,916 6,510,458 3,255,229 9,765,688 4,882,844 2,441,422 1,220,711 3,662,134 1,831,067 5,493,202 2,746,601 8,239,804 4,119,902 2,059,951 6,179,854 3,089,927 9,269,782 4,634,891 13,904,674 6,952,337 20,857,012 10,428,506 5,214,253 15,642,760 7,821,380 3,910,690 1,955,345 5,866,036 2,933,018 1,466,509 4,399,528 2,199,764 1,099,882 549,941 1,649,824 824,912 412,456 206,228 103,114 51,557 154,672 77,336 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179

More profiles

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