λ
Harmonic Matrix

8,560,004

22 × 2140001
Deficient Even Composite

8,560,004 has digital root 5. The neighboring primes are 8560001 and 8560007; its proper-divisor sum differs from the starting integer by -2,139,994.

Prime Factor Structure

Factorization String 2^2 × 2140001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,980,014
Proper Divisor Sum 6,420,010
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8560001 ← → #8560007

Radix Representation

Decimal 8560004
Binary 100000101001110110000100 (24 bits)
Octal 0o40516604
Hexadecimal 0x829D84

Divisor Catalog (6)

1 2 4 2,140,001 4,280,002 8,560,004

Collatz Trajectory (150 steps to reach 1)

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

8,560,004 4,280,002 2,140,001 6,420,004 3,210,002 1,605,001 4,815,004 2,407,502 1,203,751 3,611,254 1,805,627 5,416,882 2,708,441 8,125,324 4,062,662 2,031,331 6,093,994 3,046,997 9,140,992 4,570,496 2,285,248 1,142,624 571,312 285,656 142,828 71,414 35,707 107,122 53,561 160,684 80,342 40,171 120,514 60,257 180,772 90,386 45,193 135,580 67,790 33,895 101,686 50,843 152,530 76,265 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772

More profiles

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