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1,832,500

22 × 54 × 733
Abundant Even Composite

1,832,500 factors as 2^2 × 5^4 × 733. Its 30 positive divisors give a proper-divisor sum of 2,180,278, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 733
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 4,012,778
Proper Divisor Sum 2,180,278
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1832497 ← → #1832513

Radix Representation

Decimal 1832500
Binary 110111111011000110100 (21 bits)
Octal 0o6773064
Hexadecimal 0x1BF634

Divisor Catalog (30)

1 2 4 5 10 20 25 50 100 125 250 500 625 733 1,250 1,466 2,500 2,932 3,665 7,330 14,660 18,325 36,650 73,300 91,625 183,250 366,500 458,125 916,250 1,832,500

Collatz Trajectory (83 steps to reach 1)

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

1,832,500 916,250 458,125 1,374,376 687,188 343,594 171,797 515,392 257,696 128,848 64,424 32,212 16,106 8,053 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325

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