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Atlas › Integer Profiles › Node 24,197,200

24,197,200

24 × 52 × 60493
Abundant Even Composite

24,197,200 factors as 2^4 × 5^2 × 60493. Its 30 positive divisors give a proper-divisor sum of 33,937,534, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 60493
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 58,134,734
Proper Divisor Sum 33,937,534
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #24197189 ← → #24197207

Radix Representation

Decimal 24197200
Binary 1011100010011100001010000 (25 bits)
Octal 0o134234120
Hexadecimal 0x1713850

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 60,493 120,986 241,972 302,465 483,944 604,930 967,888 1,209,860 1,512,325 2,419,720 3,024,650 4,839,440 6,049,300 12,098,600 24,197,200

Collatz Trajectory (198 steps to reach 1)

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

24,197,200 12,098,600 6,049,300 3,024,650 1,512,325 4,536,976 2,268,488 1,134,244 567,122 283,561 850,684 425,342 212,671 638,014 319,007 957,022 478,511 1,435,534 717,767 2,153,302 1,076,651 3,229,954 1,614,977 4,844,932 2,422,466 1,211,233 3,633,700 1,816,850 908,425 2,725,276 1,362,638 681,319 2,043,958 1,021,979 3,065,938 1,532,969 4,598,908 2,299,454 1,149,727 3,449,182 1,724,591 5,173,774 2,586,887 7,760,662 3,880,331 11,640,994 5,820,497 17,461,492 8,730,746 4,365,373 13,096,120 6,548,060 3,274,030 1,637,015 4,911,046 2,455,523 7,366,570 3,683,285 11,049,856 5,524,928

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