λ
Harmonic Matrix

5,959,545

3 × 5 × 397303
Deficient Odd Composite

5,959,545 has digital root 6. The neighboring primes are 5959543 and 5959549; its proper-divisor sum differs from the starting integer by -2,383,794.

Prime Factor Structure

Factorization String 3 × 5 × 397303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,535,296
Proper Divisor Sum 3,575,751
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5959543 ← → #5959549

Radix Representation

Decimal 5959545
Binary 10110101110111101111001 (23 bits)
Octal 0o26567571
Hexadecimal 0x5AEF79

Divisor Catalog (8)

1 3 5 15 397,303 1,191,909 1,986,515 5,959,545

Collatz Trajectory (126 steps to reach 1)

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

5,959,545 17,878,636 8,939,318 4,469,659 13,408,978 6,704,489 20,113,468 10,056,734 5,028,367 15,085,102 7,542,551 22,627,654 11,313,827 33,941,482 16,970,741 50,912,224 25,456,112 12,728,056 6,364,028 3,182,014 1,591,007 4,773,022 2,386,511 7,159,534 3,579,767 10,739,302 5,369,651 16,108,954 8,054,477 24,163,432 12,081,716 6,040,858 3,020,429 9,061,288 4,530,644 2,265,322 1,132,661 3,397,984 1,698,992 849,496 424,748 212,374 106,187 318,562 159,281 477,844 238,922 119,461 358,384 179,192 89,596 44,798 22,399 67,198 33,599 100,798 50,399 151,198 75,599 226,798

More profiles

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