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Atlas › Integer Profiles › Node 24,140,704

24,140,704

25 × 7 × 47 × 2293
Abundant Even Composite

24,140,704 factors as 2^5 × 7 × 47 × 2293. Its 48 positive divisors give a proper-divisor sum of 31,355,744, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 47 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 55,496,448
Proper Divisor Sum 31,355,744
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #24140653 ← → #24140707

Radix Representation

Decimal 24140704
Binary 1011100000101101110100000 (25 bits)
Octal 0o134055640
Hexadecimal 0x1705BA0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1,316 1,504 2,293 2,632 4,586 5,264 9,172 10,528 16,051 18,344 32,102 36,688 64,204 73,376 107,771 128,408 215,542 256,816 431,084 513,632 754,397 862,168 1,508,794 1,724,336 3,017,588 3,448,672 6,035,176 12,070,352 24,140,704

Collatz Trajectory (92 steps to reach 1)

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

24,140,704 12,070,352 6,035,176 3,017,588 1,508,794 754,397 2,263,192 1,131,596 565,798 282,899 848,698 424,349 1,273,048 636,524 318,262 159,131 477,394 238,697 716,092 358,046 179,023 537,070 268,535 805,606 402,803 1,208,410 604,205 1,812,616 906,308 453,154 226,577 679,732 339,866 169,933 509,800 254,900 127,450 63,725 191,176 95,588 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709

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