λ
Harmonic Matrix

6,457,094

2 × 7 × 61 × 7561
Deficient Even Composite

6,457,094 has digital root 8. The neighboring primes are 6457091 and 6457097; its proper-divisor sum differs from the starting integer by -1,661,932.

Prime Factor Structure

Factorization String 2 × 7 × 61 × 7561
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,252,256
Proper Divisor Sum 4,795,162
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6457091 ← → #6457097

Radix Representation

Decimal 6457094
Binary 11000101000011100000110 (23 bits)
Octal 0o30503406
Hexadecimal 0x628706

Divisor Catalog (16)

1 2 7 14 61 122 427 854 7,561 15,122 52,927 105,854 461,221 922,442 3,228,547 6,457,094

Collatz Trajectory (227 steps to reach 1)

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

6,457,094 3,228,547 9,685,642 4,842,821 14,528,464 7,264,232 3,632,116 1,816,058 908,029 2,724,088 1,362,044 681,022 340,511 1,021,534 510,767 1,532,302 766,151 2,298,454 1,149,227 3,447,682 1,723,841 5,171,524 2,585,762 1,292,881 3,878,644 1,939,322 969,661 2,908,984 1,454,492 727,246 363,623 1,090,870 545,435 1,636,306 818,153 2,454,460 1,227,230 613,615 1,840,846 920,423 2,761,270 1,380,635 4,141,906 2,070,953 6,212,860 3,106,430 1,553,215 4,659,646 2,329,823 6,989,470 3,494,735 10,484,206 5,242,103 15,726,310 7,863,155 23,589,466 11,794,733 35,384,200 17,692,100 8,846,050

More profiles

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