λ
Harmonic Matrix

6,276,095

5 × 7 × 179317
Deficient Odd Composite

6,276,095 has digital root 8. The neighboring primes are 6276073 and 6276097; its proper-divisor sum differs from the starting integer by -3,944,926.

Prime Factor Structure

Factorization String 5 × 7 × 179317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,607,264
Proper Divisor Sum 2,331,169
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6276073 ← → #6276097

Radix Representation

Decimal 6276095
Binary 10111111100001111111111 (23 bits)
Octal 0o27741777
Hexadecimal 0x5FC3FF

Divisor Catalog (8)

1 5 7 35 179,317 896,585 1,255,219 6,276,095

Collatz Trajectory (134 steps to reach 1)

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

6,276,095 18,828,286 9,414,143 28,242,430 14,121,215 42,363,646 21,181,823 63,545,470 31,772,735 95,318,206 47,659,103 142,977,310 71,488,655 214,465,966 107,232,983 321,698,950 160,849,475 482,548,426 241,274,213 723,822,640 361,911,320 180,955,660 90,477,830 45,238,915 135,716,746 67,858,373 203,575,120 101,787,560 50,893,780 25,446,890 12,723,445 38,170,336 19,085,168 9,542,584 4,771,292 2,385,646 1,192,823 3,578,470 1,789,235 5,367,706 2,683,853 8,051,560 4,025,780 2,012,890 1,006,445 3,019,336 1,509,668 754,834 377,417 1,132,252 566,126 283,063 849,190 424,595 1,273,786 636,893 1,910,680 955,340 477,670 238,835

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