λ
Harmonic Matrix

5,805,649

31 × 137 × 1367
Deficient Odd Composite

5,805,649 has digital root 1. The neighboring primes are 5805629 and 5805671; its proper-divisor sum differs from the starting integer by -5,570,210.

Prime Factor Structure

Factorization String 31 × 137 × 1367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,041,088
Proper Divisor Sum 235,439
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5805629 ← → #5805671

Radix Representation

Decimal 5805649
Binary 10110001001011001010001 (23 bits)
Octal 0o26113121
Hexadecimal 0x589651

Divisor Catalog (8)

1 31 137 1,367 4,247 42,377 187,279 5,805,649

Collatz Trajectory (214 steps to reach 1)

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

5,805,649 17,416,948 8,708,474 4,354,237 13,062,712 6,531,356 3,265,678 1,632,839 4,898,518 2,449,259 7,347,778 3,673,889 11,021,668 5,510,834 2,755,417 8,266,252 4,133,126 2,066,563 6,199,690 3,099,845 9,299,536 4,649,768 2,324,884 1,162,442 581,221 1,743,664 871,832 435,916 217,958 108,979 326,938 163,469 490,408 245,204 122,602 61,301 183,904 91,952 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142

More profiles

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