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Atlas › Integer Profiles › Node 1,436,720

1,436,720

24 × 5 × 17959
Abundant Even Composite

1,436,720 factors as 2^4 × 5 × 17959. Its 20 positive divisors give a proper-divisor sum of 1,903,840, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,340,560
Proper Divisor Sum 1,903,840
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1436711 ← → #1436731

Radix Representation

Decimal 1436720
Binary 101011110110000110000 (21 bits)
Octal 0o5366060
Hexadecimal 0x15EC30

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 17,959 35,918 71,836 89,795 143,672 179,590 287,344 359,180 718,360 1,436,720

Collatz Trajectory (106 steps to reach 1)

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

1,436,720 718,360 359,180 179,590 89,795 269,386 134,693 404,080 202,040 101,020 50,510 25,255 75,766 37,883 113,650 56,825 170,476 85,238 42,619 127,858 63,929 191,788 95,894 47,947 143,842 71,921 215,764 107,882 53,941 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254

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