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1,219,600

24 × 52 × 3049
Abundant Even Composite

1,219,600 factors as 2^4 × 5^2 × 3049. Its 30 positive divisors give a proper-divisor sum of 1,711,450, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 3049
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,931,050
Proper Divisor Sum 1,711,450
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1219577 ← → #1219607

Radix Representation

Decimal 1219600
Binary 100101001110000010000 (21 bits)
Octal 0o4516020
Hexadecimal 0x129C10

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3,049 6,098 12,196 15,245 24,392 30,490 48,784 60,980 76,225 121,960 152,450 243,920 304,900 609,800 1,219,600

Collatz Trajectory (204 steps to reach 1)

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

1,219,600 609,800 304,900 152,450 76,225 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739

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