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Atlas › Integer Profiles › Node 24,224,830

24,224,830

2 × 5 × 7 × 17 × 20357
Abundant Even Composite

24,224,830 factors as 2 × 5 × 7 × 17 × 20357. Its 32 positive divisors give a proper-divisor sum of 28,543,106, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 20357
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,767,936
Proper Divisor Sum 28,543,106
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #24224803 ← → #24224833

Radix Representation

Decimal 24224830
Binary 1011100011010010000111110 (25 bits)
Octal 0o134322076
Hexadecimal 0x171A43E

Divisor Catalog (32)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1,190 20,357 40,714 101,785 142,499 203,570 284,998 346,069 692,138 712,495 1,424,990 1,730,345 2,422,483 3,460,690 4,844,966 12,112,415 24,224,830

Collatz Trajectory (141 steps to reach 1)

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

24,224,830 12,112,415 36,337,246 18,168,623 54,505,870 27,252,935 81,758,806 40,879,403 122,638,210 61,319,105 183,957,316 91,978,658 45,989,329 137,967,988 68,983,994 34,491,997 103,475,992 51,737,996 25,868,998 12,934,499 38,803,498 19,401,749 58,205,248 29,102,624 14,551,312 7,275,656 3,637,828 1,818,914 909,457 2,728,372 1,364,186 682,093 2,046,280 1,023,140 511,570 255,785 767,356 383,678 191,839 575,518 287,759 863,278 431,639 1,294,918 647,459 1,942,378 971,189 2,913,568 1,456,784 728,392 364,196 182,098 91,049 273,148 136,574 68,287 204,862 102,431 307,294 153,647

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