λ
Harmonic Matrix

6,004,037

13 × 193 × 2393
Deficient Odd Composite

6,004,037 has digital root 2. The neighboring primes are 6004021 and 6004067; its proper-divisor sum differs from the starting integer by -5,505,970.

Prime Factor Structure

Factorization String 13 × 193 × 2393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,502,104
Proper Divisor Sum 498,067
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6004021 ← → #6004067

Radix Representation

Decimal 6004037
Binary 10110111001110101000101 (23 bits)
Octal 0o26716505
Hexadecimal 0x5B9D45

Divisor Catalog (8)

1 13 193 2,393 2,509 31,109 461,849 6,004,037

Collatz Trajectory (152 steps to reach 1)

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

6,004,037 18,012,112 9,006,056 4,503,028 2,251,514 1,125,757 3,377,272 1,688,636 844,318 422,159 1,266,478 633,239 1,899,718 949,859 2,849,578 1,424,789 4,274,368 2,137,184 1,068,592 534,296 267,148 133,574 66,787 200,362 100,181 300,544 150,272 75,136 37,568 18,784 9,392 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

More profiles

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