λ
Harmonic Matrix

5,933,815

5 × 157 × 7559
Deficient Odd Composite

5,933,815 has digital root 7. The neighboring primes are 5933791 and 5933831; its proper-divisor sum differs from the starting integer by -4,700,750.

Prime Factor Structure

Factorization String 5 × 157 × 7559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,166,880
Proper Divisor Sum 1,233,065
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5933791 ← → #5933831

Radix Representation

Decimal 5933815
Binary 10110101000101011110111 (23 bits)
Octal 0o26505367
Hexadecimal 0x5A8AF7

Divisor Catalog (8)

1 5 157 785 7,559 37,795 1,186,763 5,933,815

Collatz Trajectory (214 steps to reach 1)

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

5,933,815 17,801,446 8,900,723 26,702,170 13,351,085 40,053,256 20,026,628 10,013,314 5,006,657 15,019,972 7,509,986 3,754,993 11,264,980 5,632,490 2,816,245 8,448,736 4,224,368 2,112,184 1,056,092 528,046 264,023 792,070 396,035 1,188,106 594,053 1,782,160 891,080 445,540 222,770 111,385 334,156 167,078 83,539 250,618 125,309 375,928 187,964 93,982 46,991 140,974 70,487 211,462 105,731 317,194 158,597 475,792 237,896 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826

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