λ
Harmonic Matrix

6,246,407

31 × 201497
Deficient Odd Composite

6,246,407 has digital root 2. The neighboring primes are 6246403 and 6246413; its proper-divisor sum differs from the starting integer by -6,044,878.

Prime Factor Structure

Factorization String 31 × 201497
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,447,936
Proper Divisor Sum 201,529
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6246403 ← → #6246413

Radix Representation

Decimal 6246407
Binary 10111110101000000000111 (23 bits)
Octal 0o27650007
Hexadecimal 0x5F5007

Divisor Catalog (4)

1 31 201,497 6,246,407

Collatz Trajectory (134 steps to reach 1)

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

6,246,407 18,739,222 9,369,611 28,108,834 14,054,417 42,163,252 21,081,626 10,540,813 31,622,440 15,811,220 7,905,610 3,952,805 11,858,416 5,929,208 2,964,604 1,482,302 741,151 2,223,454 1,111,727 3,335,182 1,667,591 5,002,774 2,501,387 7,504,162 3,752,081 11,256,244 5,628,122 2,814,061 8,442,184 4,221,092 2,110,546 1,055,273 3,165,820 1,582,910 791,455 2,374,366 1,187,183 3,561,550 1,780,775 5,342,326 2,671,163 8,013,490 4,006,745 12,020,236 6,010,118 3,005,059 9,015,178 4,507,589 13,522,768 6,761,384 3,380,692 1,690,346 845,173 2,535,520 1,267,760 633,880 316,940 158,470 79,235 237,706

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