1701
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2912
- Proper Divisor Sum (Aliquot Sum)
- 1211
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 972
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- no
- Odd
- yes
Appears in sequences
- Largest order of automorphism group of a tournament with n nodes.at n=16A000198
- Largest order of automorphism group of a tournament with n nodes.at n=15A000198
- Stirling numbers of the second kind, S(n,4).at n=4A000453
- Number of partitions of n in which no parts are multiples of 3.at n=32A000726
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=21A001107
- Stirling numbers of the second kind S(n+4, n).at n=4A001298
- Squares written in base 8.at n=30A002441
- Largest Stirling numbers of second kind: a(n) = max_{k=1..n} S2(n,k).at n=7A002870
- Numbers of the form 3^i*7^j with i, j >= 0.at n=18A003594
- a(n) = 7*3^n.at n=5A005032
- a(n) = n^2*(5*n-3)/2.at n=9A006597
- Stirling numbers of second kind S(2n,n).at n=4A007820
- Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n.at n=31A008277
- Reflected triangle of Stirling numbers of 2nd kind, S(n,n-k+1), n >= 1, 1 <= k <= n.at n=32A008278
- Coordination sequence T2 for Keatite.at n=23A009845
- Numbers k such that k divides phi(k) * sigma(k).at n=51A011775
- Expansion of e.g.f. arctan(arcsinh(x) * log(x+1)).at n=7A012576
- Expansion of e.g.f. tanh(arcsinh(x) * log(x+1)).at n=7A012579
- Triangle of coefficients in expansion of (1+9x)^n.at n=30A013616
- a(n) = Sum_{k=1..n} floor(k^4/n).at n=8A014819