λ
Harmonic Matrix

6,004,029

3 × 89 × 113 × 199
Deficient Odd Composite

6,004,029 has digital root 3. The neighboring primes are 6004021 and 6004067; its proper-divisor sum differs from the starting integer by -3,800,058.

Prime Factor Structure

Factorization String 3 × 89 × 113 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,208,000
Proper Divisor Sum 2,203,971
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6004021 ← → #6004067

Radix Representation

Decimal 6004029
Binary 10110111001110100111101 (23 bits)
Octal 0o26716475
Hexadecimal 0x5B9D3D

Divisor Catalog (16)

1 3 89 113 199 267 339 597 10,057 17,711 22,487 30,171 53,133 67,461 2,001,343 6,004,029

Collatz Trajectory (165 steps to reach 1)

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

6,004,029 18,012,088 9,006,044 4,503,022 2,251,511 6,754,534 3,377,267 10,131,802 5,065,901 15,197,704 7,598,852 3,799,426 1,899,713 5,699,140 2,849,570 1,424,785 4,274,356 2,137,178 1,068,589 3,205,768 1,602,884 801,442 400,721 1,202,164 601,082 300,541 901,624 450,812 225,406 112,703 338,110 169,055 507,166 253,583 760,750 380,375 1,141,126 570,563 1,711,690 855,845 2,567,536 1,283,768 641,884 320,942 160,471 481,414 240,707 722,122 361,061 1,083,184 541,592 270,796 135,398 67,699 203,098 101,549 304,648 152,324 76,162 38,081

More profiles

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