λ
Prime Ledger

6,777,070

2 × 5 × 337 × 2011
Deficient Even Composite

6,777,070 has the prime decomposition 2 × 5 × 337 × 2011. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 337 × 2011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,241,008
Proper Divisor Sum 5,463,938
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6777061 ← → #6777073

Radix Representation

Decimal 6777070
Binary 11001110110100011101110 (23 bits)
Octal 0o31664356
Hexadecimal 0x6768EE

Divisor Catalog (16)

1 2 5 10 337 674 1,685 2,011 3,370 4,022 10,055 20,110 677,707 1,355,414 3,388,535 6,777,070

Collatz Trajectory (85 steps to reach 1)

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

6,777,070 3,388,535 10,165,606 5,082,803 15,248,410 7,624,205 22,872,616 11,436,308 5,718,154 2,859,077 8,577,232 4,288,616 2,144,308 1,072,154 536,077 1,608,232 804,116 402,058 201,029 603,088 301,544 150,772 75,386 37,693 113,080 56,540 28,270 14,135 42,406 21,203 63,610 31,805 95,416 47,708 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202

More profiles

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