2301
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 1059
- 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
- 1392
- Möbius Function
- -1
- Radical
- 2301
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=26A001106
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=31A002134
- Number of partitions of n into parts 5k+2 or 5k+3.at n=63A003106
- a(n) = Sum_{k=0..n} C(n-k,3k).at n=15A003522
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=39A005449
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=33A008000
- Coordination sequence T4 for Zeolite Code DDR.at n=30A008074
- Coordination sequence T1 for Zeolite Code YUG.at n=31A008247
- Coordination sequence T2 for Zeolite Code RTH.at n=33A009894
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=11A010009
- Numbers n such that phi(n) | sigma_7(n).at n=51A015765
- a(n) = a(n-3) + a(n-4), with a(0)=1, a(1)=a(2)=0, a(3)=1.at n=45A017817
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (primes).at n=43A024377
- n written in fractional base 5/2.at n=51A024632
- Duplicate of A024377.at n=43A025069
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (primes).at n=42A025077
- a(n) = (d(n) - r(n))/5, where d = A026037 and r is the periodic sequence with fundamental period (1,2,0,2,0).at n=30A026039
- a(n) = Sum_{k=0..2n} (k+1) * A027052(n, k).at n=6A027075
- a(n) = n^2 - 3.at n=46A028872
- Odd 9-gonal (or enneagonal) numbers.at n=13A028991