λ
Harmonic Matrix

6,215,795

5 × 17 × 73127
Deficient Odd Composite

6,215,795 has digital root 8. The neighboring primes are 6215789 and 6215813; its proper-divisor sum differs from the starting integer by -4,533,766.

Prime Factor Structure

Factorization String 5 × 17 × 73127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,897,824
Proper Divisor Sum 1,682,029
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6215789 ← → #6215813

Radix Representation

Decimal 6215795
Binary 10111101101100001110011 (23 bits)
Octal 0o27554163
Hexadecimal 0x5ED873

Divisor Catalog (8)

1 5 17 85 73,127 365,635 1,243,159 6,215,795

Collatz Trajectory (289 steps to reach 1)

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

6,215,795 18,647,386 9,323,693 27,971,080 13,985,540 6,992,770 3,496,385 10,489,156 5,244,578 2,622,289 7,866,868 3,933,434 1,966,717 5,900,152 2,950,076 1,475,038 737,519 2,212,558 1,106,279 3,318,838 1,659,419 4,978,258 2,489,129 7,467,388 3,733,694 1,866,847 5,600,542 2,800,271 8,400,814 4,200,407 12,601,222 6,300,611 18,901,834 9,450,917 28,352,752 14,176,376 7,088,188 3,544,094 1,772,047 5,316,142 2,658,071 7,974,214 3,987,107 11,961,322 5,980,661 17,941,984 8,970,992 4,485,496 2,242,748 1,121,374 560,687 1,682,062 841,031 2,523,094 1,261,547 3,784,642 1,892,321 5,676,964 2,838,482 1,419,241

More profiles

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