λ
Prime Ledger

1,077,948

22 × 35 × 1109
Abundant Even Composite

1,077,948 has the prime decomposition 2^2 × 3^5 × 1109. Its 3 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,828,280
Proper Divisor Sum 1,750,332
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1077943 ← → #1077971

Radix Representation

Decimal 1077948
Binary 100000111001010111100 (21 bits)
Octal 0o4071274
Hexadecimal 0x1072BC

Divisor Catalog (36)

Collatz Trajectory (103 steps to reach 1)

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

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