λ
Prime Ledger

2,872,752

24 × 3 × 97 × 617
Abundant Even Composite

2,872,752 has the prime decomposition 2^4 × 3 × 97 × 617. Its 4 distinct prime factors produce 40 positive divisors.

Resources

JSON

Prime Factor Structure

Factorization String 2^4 × 3 × 97 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,509,936
Proper Divisor Sum 4,637,184
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2872741 ← → #2872757

Radix Representation

Decimal 2872752
Binary 1010111101010110110000 (22 bits)
Octal 0o12752660
Hexadecimal 0x2BD5B0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (120 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.

2,872,752 1,436,376 718,188 359,094 179,547

More profiles

← Previous Integer #2,872,751 Browse Full Index Next Integer #2,872,753 →