λ
Harmonic Matrix

8,674,636

22 × 2168659
Deficient Even Composite

8,674,636 has digital root 4. The neighboring primes are 8674619 and 8674667; its proper-divisor sum differs from the starting integer by -2,168,652.

Prime Factor Structure

Factorization String 2^2 × 2168659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 15,180,620
Proper Divisor Sum 6,505,984
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8674619 ← → #8674667

Radix Representation

Decimal 8674636
Binary 100001000101110101001100 (24 bits)
Octal 0o41056514
Hexadecimal 0x845D4C

Divisor Catalog (6)

1 2 4 2,168,659 4,337,318 8,674,636

Collatz Trajectory (168 steps to reach 1)

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

8,674,636 4,337,318 2,168,659 6,505,978 3,252,989 9,758,968 4,879,484 2,439,742 1,219,871 3,659,614 1,829,807 5,489,422 2,744,711 8,234,134 4,117,067 12,351,202 6,175,601 18,526,804 9,263,402 4,631,701 13,895,104 6,947,552 3,473,776 1,736,888 868,444 434,222 217,111 651,334 325,667 977,002 488,501 1,465,504 732,752 366,376 183,188 91,594 45,797 137,392 68,696 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173

More profiles

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