λ
Harmonic Matrix

6,342,764

22 × 29 × 54679
Deficient Even Composite

6,342,764 has digital root 5. The neighboring primes are 6342757 and 6342767; its proper-divisor sum differs from the starting integer by -1,202,728.

Prime Factor Structure

Factorization String 2^2 × 29 × 54679
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,482,800
Proper Divisor Sum 5,140,036
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6342757 ← → #6342767

Radix Representation

Decimal 6342764
Binary 11000001100100001101100 (23 bits)
Octal 0o30144154
Hexadecimal 0x60C86C

Divisor Catalog (12)

1 2 4 29 58 116 54,679 109,358 218,716 1,585,691 3,171,382 6,342,764

Collatz Trajectory (165 steps to reach 1)

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

6,342,764 3,171,382 1,585,691 4,757,074 2,378,537 7,135,612 3,567,806 1,783,903 5,351,710 2,675,855 8,027,566 4,013,783 12,041,350 6,020,675 18,062,026 9,031,013 27,093,040 13,546,520 6,773,260 3,386,630 1,693,315 5,079,946 2,539,973 7,619,920 3,809,960 1,904,980 952,490 476,245 1,428,736 714,368 357,184 178,592 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188

More profiles

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