λ
Prime Ledger

2,885,000

23 × 54 × 577
Abundant Even Composite

2,885,000 has the prime decomposition 2^3 × 5^4 × 577. Its 3 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^4 × 577
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,771,270
Proper Divisor Sum 3,886,270
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2884993 ← → #2885021

Radix Representation

Decimal 2885000
Binary 1011000000010110001000 (22 bits)
Octal 0o13002610
Hexadecimal 0x2C0588

Divisor Catalog (40)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 577 625 1,000 1,154 1,250 2,308 2,500 2,885 4,616 5,000 5,770 11,540 14,425 23,080 28,850 57,700 72,125 115,400 144,250 288,500 360,625 577,000 721,250 1,442,500 2,885,000

Collatz Trajectory (213 steps to reach 1)

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

2,885,000 1,442,500 721,250 360,625 1,081,876 540,938 270,469 811,408 405,704 202,852 101,426 50,713 152,140 76,070 38,035 114,106 57,053 171,160 85,580 42,790 21,395 64,186 32,093 96,280 48,140 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053

More profiles

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