λ
Prime Ledger

8,778,252

22 × 3 × 72 × 14929
Abundant Even Composite

8,778,252 has the prime decomposition 2^2 × 3 × 7^2 × 14929. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 14929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,828,280
Proper Divisor Sum 15,050,028
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8778241 ← → #8778269

Radix Representation

Decimal 8778252
Binary 100001011111001000001100 (24 bits)
Octal 0o41371014
Hexadecimal 0x85F20C

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (181 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.

8,778,252 4,389,126 2,194,563 6,583,690 3,291,845

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