λ
Harmonic Matrix

5,709,983

31 × 47 × 3919
Deficient Odd Composite

5,709,983 has digital root 5. The neighboring primes are 5709953 and 5710021; its proper-divisor sum differs from the starting integer by -5,398,846.

Prime Factor Structure

Factorization String 31 × 47 × 3919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,021,120
Proper Divisor Sum 311,137
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5709953 ← → #5710021

Radix Representation

Decimal 5709983
Binary 10101110010000010011111 (23 bits)
Octal 0o25620237
Hexadecimal 0x57209F

Divisor Catalog (8)

1 31 47 1,457 3,919 121,489 184,193 5,709,983

Collatz Trajectory (152 steps to reach 1)

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

5,709,983 17,129,950 8,564,975 25,694,926 12,847,463 38,542,390 19,271,195 57,813,586 28,906,793 86,720,380 43,360,190 21,680,095 65,040,286 32,520,143 97,560,430 48,780,215 146,340,646 73,170,323 219,510,970 109,755,485 329,266,456 164,633,228 82,316,614 41,158,307 123,474,922 61,737,461 185,212,384 92,606,192 46,303,096 23,151,548 11,575,774 5,787,887 17,363,662 8,681,831 26,045,494 13,022,747 39,068,242 19,534,121 58,602,364 29,301,182 14,650,591 43,951,774 21,975,887 65,927,662 32,963,831 98,891,494 49,445,747 148,337,242 74,168,621 222,505,864 111,252,932 55,626,466 27,813,233 83,439,700 41,719,850 20,859,925 62,579,776 31,289,888 15,644,944 7,822,472

More profiles

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