λ
Harmonic Matrix

6,193,744

24 × 387109
Deficient Even Composite

6,193,744 has digital root 7. The neighboring primes are 6193717 and 6193771; its proper-divisor sum differs from the starting integer by -387,078.

Prime Factor Structure

Factorization String 2^4 × 387109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 12,000,410
Proper Divisor Sum 5,806,666
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6193717 ← → #6193771

Radix Representation

Decimal 6193744
Binary 10111101000001001010000 (23 bits)
Octal 0o27501120
Hexadecimal 0x5E8250

Divisor Catalog (10)

1 2 4 8 16 387,109 774,218 1,548,436 3,096,872 6,193,744

Collatz Trajectory (103 steps to reach 1)

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

6,193,744 3,096,872 1,548,436 774,218 387,109 1,161,328 580,664 290,332 145,166 72,583 217,750 108,875 326,626 163,313 489,940 244,970 122,485 367,456 183,728 91,864 45,932 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364

More profiles

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