λ
Match Zalai

2,697,424

24 × 17 × 47 × 211
Abundant Even Composite

2,697,424 factors as 2^4 × 17 × 47 × 211. Its 40 positive divisors give a proper-divisor sum of 2,980,784, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 47 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,678,208
Proper Divisor Sum 2,980,784
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2697419 ← → #2697437

Radix Representation

Decimal 2697424
Binary 1010010010100011010000 (22 bits)
Octal 0o12224320
Hexadecimal 0x2928D0

Divisor Catalog (40)

1 2 4 8 16 17 34 47 68 94 136 188 211 272 376 422 752 799 844 1,598 1,688 3,196 3,376 3,587 6,392 7,174 9,917 12,784 14,348 19,834 28,696 39,668 57,392 79,336 158,672 168,589 337,178 674,356 1,348,712 2,697,424

Collatz Trajectory (86 steps to reach 1)

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

2,697,424 1,348,712 674,356 337,178 168,589 505,768 252,884 126,442 63,221 189,664 94,832 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122

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