λ
Harmonic Matrix

6,291,704

23 × 419 × 1877
Deficient Even Composite

6,291,704 has digital root 2. The neighboring primes are 6291697 and 6291709; its proper-divisor sum differs from the starting integer by -752,008.

Prime Factor Structure

Factorization String 2^3 × 419 × 1877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,831,400
Proper Divisor Sum 5,539,696
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6291697 ← → #6291709

Radix Representation

Decimal 6291704
Binary 11000000000000011111000 (23 bits)
Octal 0o30000370
Hexadecimal 0x6000F8

Divisor Catalog (16)

1 2 4 8 419 838 1,676 1,877 3,352 3,754 7,508 15,016 786,463 1,572,926 3,145,852 6,291,704

Collatz Trajectory (178 steps to reach 1)

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

6,291,704 3,145,852 1,572,926 786,463 2,359,390 1,179,695 3,539,086 1,769,543 5,308,630 2,654,315 7,962,946 3,981,473 11,944,420 5,972,210 2,986,105 8,958,316 4,479,158 2,239,579 6,718,738 3,359,369 10,078,108 5,039,054 2,519,527 7,558,582 3,779,291 11,337,874 5,668,937 17,006,812 8,503,406 4,251,703 12,755,110 6,377,555 19,132,666 9,566,333 28,699,000 14,349,500 7,174,750 3,587,375 10,762,126 5,381,063 16,143,190 8,071,595 24,214,786 12,107,393 36,322,180 18,161,090 9,080,545 27,241,636 13,620,818 6,810,409 20,431,228 10,215,614 5,107,807 15,323,422 7,661,711 22,985,134 11,492,567 34,477,702 17,238,851 51,716,554

More profiles

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