λ
Harmonic Matrix

8,563,064

23 × 349 × 3067
Deficient Even Composite

8,563,064 has digital root 5. The neighboring primes are 8563043 and 8563067; its proper-divisor sum differs from the starting integer by -1,019,128.

Prime Factor Structure

Factorization String 2^3 × 349 × 3067
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,107,000
Proper Divisor Sum 7,543,936
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8563043 ← → #8563067

Radix Representation

Decimal 8563064
Binary 100000101010100101111000 (24 bits)
Octal 0o40524570
Hexadecimal 0x82A978

Divisor Catalog (16)

1 2 4 8 349 698 1,396 2,792 3,067 6,134 12,268 24,536 1,070,383 2,140,766 4,281,532 8,563,064

Collatz Trajectory (124 steps to reach 1)

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

8,563,064 4,281,532 2,140,766 1,070,383 3,211,150 1,605,575 4,816,726 2,408,363 7,225,090 3,612,545 10,837,636 5,418,818 2,709,409 8,128,228 4,064,114 2,032,057 6,096,172 3,048,086 1,524,043 4,572,130 2,286,065 6,858,196 3,429,098 1,714,549 5,143,648 2,571,824 1,285,912 642,956 321,478 160,739 482,218 241,109 723,328 361,664 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

More profiles

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