10660
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24696
- Proper Divisor Sum (Aliquot Sum)
- 14036
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 5330
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=39A000292
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=20A000447
- Generalized Stirling numbers, [n+2,n]_2.at n=15A001701
- Number of different shapes formed by bending a piece of wire of length n in the plane.at n=11A001997
- a(n) = n OR n^3 (applied to ternary expansions).at n=21A008469
- Binomial coefficient C(41,n).at n=3A010957
- Binomial coefficient C(n,38).at n=3A010991
- Even tetrahedral numbers.at n=29A015220
- Even 10-gonal (or decagonal) numbers.at n=26A028994
- a(n) = (prime(n) - 1)*(prime(n) - 3)*(prime(n) - 5)/48.at n=21A030004
- Square roots of sums of squares of divisors in A046655.at n=11A046656
- T(n,3), array T as in A050186; a count of aperiodic binary words.at n=38A050188
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 6 skipped primes.at n=44A050773
- Numbers k such that 255*2^k-1 is prime.at n=35A050886
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=21A057344
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=20A057344
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=22A057344
- a(n) = lcm(n, n+1, n+2)/6.at n=38A067046
- Centered 19-gonal numbers.at n=33A069132
- Sum_{k=0..n^2} (k^2 - n^2)/n.at n=7A071902