λ
Prime Ledger

6,218,978

2 × 137 × 22697
Deficient Even Composite

6,218,978 has the prime decomposition 2 × 137 × 22697. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 137 × 22697
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,396,972
Proper Divisor Sum 3,177,994
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6218951 ← → #6218981

Radix Representation

Decimal 6218978
Binary 10111101110010011100010 (23 bits)
Octal 0o27562342
Hexadecimal 0x5EE4E2

Divisor Catalog (8)

1 2 137 274 22,697 45,394 3,109,489 6,218,978

Collatz Trajectory (165 steps to reach 1)

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

6,218,978 3,109,489 9,328,468 4,664,234 2,332,117 6,996,352 3,498,176 1,749,088 874,544 437,272 218,636 109,318 54,659 163,978 81,989 245,968 122,984 61,492 30,746 15,373 46,120 23,060 11,530 5,765 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

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