λ
Harmonic Matrix

3,091,664

24 × 199 × 971
Deficient Even Composite

3,091,664 has digital root 2. The neighboring primes are 3091643 and 3091703; its proper-divisor sum differs from the starting integer by -156,928.

Prime Factor Structure

Factorization String 2^4 × 199 × 971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,026,400
Proper Divisor Sum 2,934,736
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3091643 ← → #3091703

Radix Representation

Decimal 3091664
Binary 1011110010110011010000 (22 bits)
Octal 0o13626320
Hexadecimal 0x2F2CD0

Divisor Catalog (20)

1 2 4 8 16 199 398 796 971 1,592 1,942 3,184 3,884 7,768 15,536 193,229 386,458 772,916 1,545,832 3,091,664

Collatz Trajectory (89 steps to reach 1)

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

3,091,664 1,545,832 772,916 386,458 193,229 579,688 289,844 144,922 72,461 217,384 108,692 54,346 27,173 81,520 40,760 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280

More profiles

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