λ
Harmonic Matrix

6,199,742

2 × 23 × 134777
Deficient Even Composite

6,199,742 has digital root 2. The neighboring primes are 6199729 and 6199751; its proper-divisor sum differs from the starting integer by -2,695,468.

Prime Factor Structure

Factorization String 2 × 23 × 134777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,704,016
Proper Divisor Sum 3,504,274
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6199729 ← → #6199751

Radix Representation

Decimal 6199742
Binary 10111101001100110111110 (23 bits)
Octal 0o27514676
Hexadecimal 0x5E99BE

Divisor Catalog (8)

1 2 23 46 134,777 269,554 3,099,871 6,199,742

Collatz Trajectory (165 steps to reach 1)

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

6,199,742 3,099,871 9,299,614 4,649,807 13,949,422 6,974,711 20,924,134 10,462,067 31,386,202 15,693,101 47,079,304 23,539,652 11,769,826 5,884,913 17,654,740 8,827,370 4,413,685 13,241,056 6,620,528 3,310,264 1,655,132 827,566 413,783 1,241,350 620,675 1,862,026 931,013 2,793,040 1,396,520 698,260 349,130 174,565 523,696 261,848 130,924 65,462 32,731 98,194 49,097 147,292 73,646 36,823 110,470 55,235 165,706 82,853 248,560 124,280 62,140 31,070 15,535 46,606 23,303 69,910 34,955 104,866 52,433 157,300 78,650 39,325

More profiles

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