λ
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5,231,408

24 × 7 × 13 × 3593
Abundant Even Composite

5,231,408 factors as 2^4 × 7 × 13 × 3593. Its 40 positive divisors give a proper-divisor sum of 7,246,960, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,478,368
Proper Divisor Sum 7,246,960
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5231389 ← → #5231411

Radix Representation

Decimal 5231408
Binary 10011111101001100110000 (23 bits)
Octal 0o23751460
Hexadecimal 0x4FD330

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 3,593 7,186 14,372 25,151 28,744 46,709 50,302 57,488 93,418 100,604 186,836 201,208 326,963 373,672 402,416 653,926 747,344 1,307,852 2,615,704 5,231,408

Collatz Trajectory (219 steps to reach 1)

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

5,231,408 2,615,704 1,307,852 653,926 326,963 980,890 490,445 1,471,336 735,668 367,834 183,917 551,752 275,876 137,938 68,969 206,908 103,454 51,727 155,182 77,591 232,774 116,387 349,162 174,581 523,744 261,872 130,936 65,468 32,734 16,367 49,102 24,551 73,654 36,827 110,482 55,241 165,724 82,862 41,431 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185

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