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Atlas › Integer Profiles › Node 26,580,560

26,580,560

24 × 5 × 53 × 6269
Abundant Even Composite

26,580,560 factors as 2^4 × 5 × 53 × 6269. Its 40 positive divisors give a proper-divisor sum of 36,395,320, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 53 × 6269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 62,975,880
Proper Divisor Sum 36,395,320
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #26580527 ← → #26580569

Radix Representation

Decimal 26580560
Binary 1100101011001011001010000 (25 bits)
Octal 0o145313120
Hexadecimal 0x1959650

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1,060 2,120 4,240 6,269 12,538 25,076 31,345 50,152 62,690 100,304 125,380 250,760 332,257 501,520 664,514 1,329,028 1,661,285 2,658,056 3,322,570 5,316,112 6,645,140 13,290,280 26,580,560

Collatz Trajectory (118 steps to reach 1)

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

26,580,560 13,290,280 6,645,140 3,322,570 1,661,285 4,983,856 2,491,928 1,245,964 622,982 311,491 934,474 467,237 1,401,712 700,856 350,428 175,214 87,607 262,822 131,411 394,234 197,117 591,352 295,676 147,838 73,919 221,758 110,879 332,638 166,319 498,958 249,479 748,438 374,219 1,122,658 561,329 1,683,988 841,994 420,997 1,262,992 631,496 315,748 157,874 78,937 236,812 118,406 59,203 177,610 88,805 266,416 133,208 66,604 33,302 16,651 49,954 24,977 74,932 37,466 18,733 56,200 28,100

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