λ
Harmonic Matrix

3,593,391

3 × 457 × 2621
Deficient Odd Composite

3,593,391 has digital root 6. The neighboring primes are 3593377 and 3593399; its proper-divisor sum differs from the starting integer by -2,383,278.

Prime Factor Structure

Factorization String 3 × 457 × 2621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,803,504
Proper Divisor Sum 1,210,113
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3593377 ← → #3593399

Radix Representation

Decimal 3593391
Binary 1101101101010010101111 (22 bits)
Octal 0o15552257
Hexadecimal 0x36D4AF

Divisor Catalog (8)

1 3 457 1,371 2,621 7,863 1,197,797 3,593,391

Collatz Trajectory (128 steps to reach 1)

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

3,593,391 10,780,174 5,390,087 16,170,262 8,085,131 24,255,394 12,127,697 36,383,092 18,191,546 9,095,773 27,287,320 13,643,660 6,821,830 3,410,915 10,232,746 5,116,373 15,349,120 7,674,560 3,837,280 1,918,640 959,320 479,660 239,830 119,915 359,746 179,873 539,620 269,810 134,905 404,716 202,358 101,179 303,538 151,769 455,308 227,654 113,827 341,482 170,741 512,224 256,112 128,056 64,028 32,014 16,007 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799

More profiles

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