λ
Harmonic Matrix

6,024,759

3 × 13 × 241 × 641
Deficient Odd Composite

6,024,759 has digital root 6. The neighboring primes are 6024737 and 6024769; its proper-divisor sum differs from the starting integer by -3,349,134.

Prime Factor Structure

Factorization String 3 × 13 × 241 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,700,384
Proper Divisor Sum 2,675,625
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6024737 ← → #6024769

Radix Representation

Decimal 6024759
Binary 10110111110111000110111 (23 bits)
Octal 0o26767067
Hexadecimal 0x5BEE37

Divisor Catalog (16)

1 3 13 39 241 641 723 1,923 3,133 8,333 9,399 24,999 154,481 463,443 2,008,253 6,024,759

Collatz Trajectory (227 steps to reach 1)

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

6,024,759 18,074,278 9,037,139 27,111,418 13,555,709 40,667,128 20,333,564 10,166,782 5,083,391 15,250,174 7,625,087 22,875,262 11,437,631 34,312,894 17,156,447 51,469,342 25,734,671 77,204,014 38,602,007 115,806,022 57,903,011 173,709,034 86,854,517 260,563,552 130,281,776 65,140,888 32,570,444 16,285,222 8,142,611 24,427,834 12,213,917 36,641,752 18,320,876 9,160,438 4,580,219 13,740,658 6,870,329 20,610,988 10,305,494 5,152,747 15,458,242 7,729,121 23,187,364 11,593,682 5,796,841 17,390,524 8,695,262 4,347,631 13,042,894 6,521,447 19,564,342 9,782,171 29,346,514 14,673,257 44,019,772 22,009,886 11,004,943 33,014,830 16,507,415 49,522,246

More profiles

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