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Atlas › Integer Profiles › Node 2,434,500

2,434,500

22 × 32 × 53 × 541
Abundant Even Composite

2,434,500 factors as 2^2 × 3^2 × 5^3 × 541. Its 72 positive divisors give a proper-divisor sum of 5,259,732, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 7,694,232
Proper Divisor Sum 5,259,732
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2434493 ← → #2434501

Radix Representation

Decimal 2434500
Binary 1001010010010111000100 (22 bits)
Octal 0o11222704
Hexadecimal 0x2525C4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 541 750 900 1,082 1,125 1,500 1,623 2,164 2,250 2,705 3,246 4,500 4,869 5,410 6,492 8,115 9,738 10,820 13,525 16,230 19,476 24,345 27,050 32,460 40,575 48,690 54,100 67,625 81,150 97,380

Collatz Trajectory (60 steps to reach 1)

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

2,434,500 1,217,250 608,625 1,825,876 912,938 456,469 1,369,408 684,704 342,352 171,176 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2

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