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Atlas › Integer Profiles › Node 2,397,544

2,397,544

23 × 173 × 61
Abundant Even Composite

2,397,544 factors as 2^3 × 17^3 × 61. Its 32 positive divisors give a proper-divisor sum of 2,457,056, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^3 × 17^3 × 61
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,854,600
Proper Divisor Sum 2,457,056
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2397541 ← → #2397569

Radix Representation

Decimal 2397544
Binary 1001001001010101101000 (22 bits)
Octal 0o11112550
Hexadecimal 0x249568

Divisor Catalog (32)

1 2 4 8 17 34 61 68 122 136 244 289 488 578 1,037 1,156 2,074 2,312 4,148 4,913 8,296 9,826 17,629 19,652 35,258 39,304 70,516 141,032 299,693 599,386 1,198,772 2,397,544

Collatz Trajectory (55 steps to reach 1)

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

2,397,544 1,198,772 599,386 299,693 899,080 449,540 224,770 112,385 337,156 168,578 84,289 252,868 126,434 63,217 189,652 94,826 47,413 142,240 71,120 35,560 17,780 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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