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Atlas › Integer Profiles › Node 24,498,628

24,498,628

22 × 72 × 112 × 1033
Abundant Even Composite

24,498,628 factors as 2^2 × 7^2 × 11^2 × 1033. Its 54 positive divisors give a proper-divisor sum of 30,372,650, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11^2 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 54,871,278
Proper Divisor Sum 30,372,650
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #24498623 ← → #24498631

Radix Representation

Decimal 24498628
Binary 1011101011101000111000100 (25 bits)
Octal 0o135350704
Hexadecimal 0x175D1C4

Divisor Catalog (54)

1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1,033 1,078 1,694 2,066 2,156 3,388 4,132 5,929 7,231 11,363 11,858 14,462 22,726 23,716 28,924 45,452 50,617 79,541 101,234 124,993 159,082 202,468 249,986 318,164 499,972 556,787 874,951 1,113,574 1,749,902 2,227,148 3,499,804 6,124,657 12,249,314 24,498,628

Collatz Trajectory (154 steps to reach 1)

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

24,498,628 12,249,314 6,124,657 18,373,972 9,186,986 4,593,493 13,780,480 6,890,240 3,445,120 1,722,560 861,280 430,640 215,320 107,660 53,830 26,915 80,746 40,373 121,120 60,560 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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