λ
Harmonic Matrix

6,120,059

112 × 37 × 1367
Deficient Odd Composite

6,120,059 has digital root 5. The neighboring primes are 6120013 and 6120083; its proper-divisor sum differs from the starting integer by -5,326,246.

Prime Factor Structure

Factorization String 11^2 × 37 × 1367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,913,872
Proper Divisor Sum 793,813
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6120013 ← → #6120083

Radix Representation

Decimal 6120059
Binary 10111010110001001111011 (23 bits)
Octal 0o27261173
Hexadecimal 0x5D627B

Divisor Catalog (12)

1 11 37 121 407 1,367 4,477 15,037 50,579 165,407 556,369 6,120,059

Collatz Trajectory (227 steps to reach 1)

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

6,120,059 18,360,178 9,180,089 27,540,268 13,770,134 6,885,067 20,655,202 10,327,601 30,982,804 15,491,402 7,745,701 23,237,104 11,618,552 5,809,276 2,904,638 1,452,319 4,356,958 2,178,479 6,535,438 3,267,719 9,803,158 4,901,579 14,704,738 7,352,369 22,057,108 11,028,554 5,514,277 16,542,832 8,271,416 4,135,708 2,067,854 1,033,927 3,101,782 1,550,891 4,652,674 2,326,337 6,979,012 3,489,506 1,744,753 5,234,260 2,617,130 1,308,565 3,925,696 1,962,848 981,424 490,712 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901

More profiles

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