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Atlas › Integer Profiles › Node 24,082,000

24,082,000

24 × 53 × 12041
Abundant Even Composite

24,082,000 factors as 2^4 × 5^3 × 12041. Its 40 positive divisors give a proper-divisor sum of 34,153,112, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 12041
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 58,235,112
Proper Divisor Sum 34,153,112
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #24081991 ← → #24082031

Radix Representation

Decimal 24082000
Binary 1011011110111011001010000 (25 bits)
Octal 0o133673120
Hexadecimal 0x16F7650

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 2,000 12,041 24,082 48,164 60,205 96,328 120,410 192,656 240,820 301,025 481,640 602,050 963,280 1,204,100 1,505,125 2,408,200 3,010,250 4,816,400 6,020,500 12,041,000 24,082,000

Collatz Trajectory (154 steps to reach 1)

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

24,082,000 12,041,000 6,020,500 3,010,250 1,505,125 4,515,376 2,257,688 1,128,844 564,422 282,211 846,634 423,317 1,269,952 634,976 317,488 158,744 79,372 39,686 19,843 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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