λ
Harmonic Matrix

6,087,004

22 × 7 × 11 × 19763
Abundant Even Composite

6,087,004 has digital root 7. The neighboring primes are 6086999 and 6087023; its proper-divisor sum differs from the starting integer by 1,107,400.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 19763
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,281,408
Proper Divisor Sum 7,194,404
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6086999 ← → #6087023

Radix Representation

Decimal 6087004
Binary 10111001110000101011100 (23 bits)
Octal 0o27160534
Hexadecimal 0x5CE15C

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 19,763 39,526 79,052 138,341 217,393 276,682 434,786 553,364 869,572 1,521,751 3,043,502 6,087,004

Collatz Trajectory (59 steps to reach 1)

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

6,087,004 3,043,502 1,521,751 4,565,254 2,282,627 6,847,882 3,423,941 10,271,824 5,135,912 2,567,956 1,283,978 641,989 1,925,968 962,984 481,492 240,746 120,373 361,120 180,560 90,280 45,140 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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