λ
Integer Codex

1,284,720

24 × 3 × 5 × 53 × 101
Abundant Even Composite

For 1,284,720, the 80 positive divisors have a total of 4,097,952. Removing 1,284,720 leaves 2,813,232, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 53 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 4,097,952
Proper Divisor Sum 2,813,232
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1284713 ← → #1284737

Radix Representation

Decimal 1284720
Binary 100111001101001110000 (21 bits)
Octal 0o4715160
Hexadecimal 0x139A70

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (217 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.

1,284,720 642,360 321,180 160,590 80,295

More profiles

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