λ
Match Zalai

1,313,360

24 × 5 × 16417
Abundant Even Composite

1,313,360 factors as 2^4 × 5 × 16417. Its 20 positive divisors give a proper-divisor sum of 1,740,388, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 16417
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,053,748
Proper Divisor Sum 1,740,388
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1313359 ← → #1313363

Radix Representation

Decimal 1313360
Binary 101000000101001010000 (21 bits)
Octal 0o5005120
Hexadecimal 0x140A50

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 16,417 32,834 65,668 82,085 131,336 164,170 262,672 328,340 656,680 1,313,360

Collatz Trajectory (186 steps to reach 1)

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

1,313,360 656,680 328,340 164,170 82,085 246,256 123,128 61,564 30,782 15,391 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882 58,441 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333

More profiles

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