λ
Harmonic Matrix

8,679,746

2 × 1429 × 3037
Deficient Even Composite

8,679,746 has digital root 2. The neighboring primes are 8679743 and 8679767; its proper-divisor sum differs from the starting integer by -4,326,472.

Prime Factor Structure

Factorization String 2 × 1429 × 3037
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,033,020
Proper Divisor Sum 4,353,274
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8679743 ← → #8679767

Radix Representation

Decimal 8679746
Binary 100001000111000101000010 (24 bits)
Octal 0o41070502
Hexadecimal 0x847142

Divisor Catalog (8)

1 2 1,429 2,858 3,037 6,074 4,339,873 8,679,746

Collatz Trajectory (349 steps to reach 1)

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

8,679,746 4,339,873 13,019,620 6,509,810 3,254,905 9,764,716 4,882,358 2,441,179 7,323,538 3,661,769 10,985,308 5,492,654 2,746,327 8,238,982 4,119,491 12,358,474 6,179,237 18,537,712 9,268,856 4,634,428 2,317,214 1,158,607 3,475,822 1,737,911 5,213,734 2,606,867 7,820,602 3,910,301 11,730,904 5,865,452 2,932,726 1,466,363 4,399,090 2,199,545 6,598,636 3,299,318 1,649,659 4,948,978 2,474,489 7,423,468 3,711,734 1,855,867 5,567,602 2,783,801 8,351,404 4,175,702 2,087,851 6,263,554 3,131,777 9,395,332 4,697,666 2,348,833 7,046,500 3,523,250 1,761,625 5,284,876 2,642,438 1,321,219 3,963,658 1,981,829

More profiles

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