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Atlas › Integer Profiles › Node 24,062,000

24,062,000

24 × 53 × 53 × 227
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 53 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 59,540,832
Proper Divisor Sum 35,478,832
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #24061993 ← → #24062009

Radix Representation

Decimal 24062000
Binary 1011011110010100000110000 (25 bits)
Octal 0o133624060
Hexadecimal 0x16F2830

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 227 250 265 400 424 454 500 530 848 908 1,000 1,060 1,135 1,325 1,816 2,000 2,120 2,270 2,650 3,632 4,240 4,540 5,300 5,675 6,625 9,080 10,600 11,350 12,031 13,250 18,160 21,200 22,700 24,062 26,500 28,375 45,400 48,124 53,000 56,750 60,155 90,800

Collatz Trajectory (66 steps to reach 1)

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

24,062,000 12,031,000 6,015,500 3,007,750 1,503,875 4,511,626 2,255,813 6,767,440 3,383,720 1,691,860 845,930 422,965 1,268,896 634,448 317,224 158,612 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

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