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Atlas › Integer Profiles › Node 24,836,560

24,836,560

24 × 5 × 7 × 44351
Abundant Even Composite

24,836,560 factors as 2^4 × 5 × 7 × 44351. Its 40 positive divisors give a proper-divisor sum of 41,159,216, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 44351
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 65,995,776
Proper Divisor Sum 41,159,216
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24836551 ← → #24836561

Radix Representation

Decimal 24836560
Binary 1011110101111100111010000 (25 bits)
Octal 0o136574720
Hexadecimal 0x17AF9D0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 44,351 88,702 177,404 221,755 310,457 354,808 443,510 620,914 709,616 887,020 1,241,828 1,552,285 1,774,040 2,483,656 3,104,570 3,548,080 4,967,312 6,209,140 12,418,280 24,836,560

Collatz Trajectory (92 steps to reach 1)

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

24,836,560 12,418,280 6,209,140 3,104,570 1,552,285 4,656,856 2,328,428 1,164,214 582,107 1,746,322 873,161 2,619,484 1,309,742 654,871 1,964,614 982,307 2,946,922 1,473,461 4,420,384 2,210,192 1,105,096 552,548 276,274 138,137 414,412 207,206 103,603 310,810 155,405 466,216 233,108 116,554 58,277 174,832 87,416 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378

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