λ
Integer Codex

1,513,952

25 × 112 × 17 × 23
Abundant Even Composite

For 1,513,952, the 72 positive divisors have a total of 3,619,728. Removing 1,513,952 leaves 2,105,776, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^5 × 11^2 × 17 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 3,619,728
Proper Divisor Sum 2,105,776
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1513949 ← → #1513957

Radix Representation

Decimal 1513952
Binary 101110001100111100000 (21 bits)
Octal 0o5614740
Hexadecimal 0x1719E0

Divisor Catalog (5 of 72)

1 2 4 8 11

Collatz Trajectory (256 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.

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