λ
Harmonic Matrix

6,320,574

2 × 32 × 13 × 27011
Abundant Even Composite

6,320,574 has digital root 9. The neighboring primes are 6320569 and 6320581; its proper-divisor sum differs from the starting integer by 2,107,404.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 27011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,748,552
Proper Divisor Sum 8,427,978
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6320569 ← → #6320581

Radix Representation

Decimal 6320574
Binary 11000000111000110111110 (23 bits)
Octal 0o30070676
Hexadecimal 0x6071BE

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 27,011 54,022 81,033 162,066 243,099 351,143 486,198 702,286 1,053,429 2,106,858 3,160,287 6,320,574

Collatz Trajectory (271 steps to reach 1)

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

6,320,574 3,160,287 9,480,862 4,740,431 14,221,294 7,110,647 21,331,942 10,665,971 31,997,914 15,998,957 47,996,872 23,998,436 11,999,218 5,999,609 17,998,828 8,999,414 4,499,707 13,499,122 6,749,561 20,248,684 10,124,342 5,062,171 15,186,514 7,593,257 22,779,772 11,389,886 5,694,943 17,084,830 8,542,415 25,627,246 12,813,623 38,440,870 19,220,435 57,661,306 28,830,653 86,491,960 43,245,980 21,622,990 10,811,495 32,434,486 16,217,243 48,651,730 24,325,865 72,977,596 36,488,798 18,244,399 54,733,198 27,366,599 82,099,798 41,049,899 123,149,698 61,574,849 184,724,548 92,362,274 46,181,137 138,543,412 69,271,706 34,635,853 103,907,560 51,953,780

More profiles

← Previous Integer #6,320,573 Browse Full Index Next Integer #6,320,575 →