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2,145,800

23 × 52 × 10729
Abundant Even Composite

2,145,800 factors as 2^3 × 5^2 × 10729. Its 24 positive divisors give a proper-divisor sum of 2,843,650, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 10729
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,989,450
Proper Divisor Sum 2,843,650
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2145779 ← → #2145821

Radix Representation

Decimal 2145800
Binary 1000001011111000001000 (22 bits)
Octal 0o10137010
Hexadecimal 0x20BE08

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 10,729 21,458 42,916 53,645 85,832 107,290 214,580 268,225 429,160 536,450 1,072,900 2,145,800

Collatz Trajectory (122 steps to reach 1)

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

2,145,800 1,072,900 536,450 268,225 804,676 402,338 201,169 603,508 301,754 150,877 452,632 226,316 113,158 56,579 169,738 84,869 254,608 127,304 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448 27,224 13,612

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