λ
Prime Ledger

6,727,078

2 × 53 × 63463
Deficient Even Composite

6,727,078 has the prime decomposition 2 × 53 × 63463. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 63463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,281,168
Proper Divisor Sum 3,554,090
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6727073 ← → #6727079

Radix Representation

Decimal 6727078
Binary 11001101010010110100110 (23 bits)
Octal 0o31522646
Hexadecimal 0x66A5A6

Divisor Catalog (8)

1 2 53 106 63,463 126,926 3,363,539 6,727,078

Collatz Trajectory (209 steps to reach 1)

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

6,727,078 3,363,539 10,090,618 5,045,309 15,135,928 7,567,964 3,783,982 1,891,991 5,675,974 2,837,987 8,513,962 4,256,981 12,770,944 6,385,472 3,192,736 1,596,368 798,184 399,092 199,546 99,773 299,320 149,660 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114

More profiles

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