λ
Match Zalai

2,772,051

3 × 31 × 41 × 727
Deficient Odd Composite

2,772,051 factors as 3 × 31 × 41 × 727. Its 16 positive divisors give a proper-divisor sum of 1,141,677, so this integer is deficient. The Collatz stopping time is 187 steps.

Resources

JSON

Prime Factor Structure

Factorization String 3 × 31 × 41 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,913,728
Proper Divisor Sum 1,141,677
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2772047 ← → #2772061

Radix Representation

Decimal 2772051
Binary 1010100100110001010011 (22 bits)
Octal 0o12446123
Hexadecimal 0x2A4C53

Divisor Catalog (5 of 16)

1 3 31 41 93

Collatz Trajectory (187 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

2,772,051 8,316,154 4,158,077 12,474,232 6,237,116

More profiles

← Previous Integer #2,772,050 Browse Full Index Next Integer #2,772,052 →