λ
Harmonic Matrix

5,705,801

349 × 16349
Deficient Odd Composite

5,705,801 has digital root 8. The neighboring primes are 5705789 and 5705803; its proper-divisor sum differs from the starting integer by -5,689,102.

Prime Factor Structure

Factorization String 349 × 16349
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,722,500
Proper Divisor Sum 16,699
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5705789 ← → #5705803

Radix Representation

Decimal 5705801
Binary 10101110001000001001001 (23 bits)
Octal 0o25610111
Hexadecimal 0x571049

Divisor Catalog (4)

1 349 16,349 5,705,801

Collatz Trajectory (126 steps to reach 1)

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

5,705,801 17,117,404 8,558,702 4,279,351 12,838,054 6,419,027 19,257,082 9,628,541 28,885,624 14,442,812 7,221,406 3,610,703 10,832,110 5,416,055 16,248,166 8,124,083 24,372,250 12,186,125 36,558,376 18,279,188 9,139,594 4,569,797 13,709,392 6,854,696 3,427,348 1,713,674 856,837 2,570,512 1,285,256 642,628 321,314 160,657 481,972 240,986 120,493 361,480 180,740 90,370 45,185 135,556 67,778 33,889 101,668 50,834 25,417 76,252 38,126 19,063 57,190 28,595 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032

More profiles

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