7722
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 12438
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2160
- Möbius Function
- 0
- Radical
- 858
- Omega Function (Ω)
- 6
- 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
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- Number of n-node rooted trees of height 6.at n=13A000393
- Number of strict first-order maximal independent sets in path graph.at n=31A007383
- Expansion of Product_{m>=1} (1 + m*q^m)^-3.at n=16A022695
- Expansion of 1/((1-2x)(1-7x)(1-8x)(1-11x)).at n=3A028007
- Even numbers in the (2,3)-Pascal triangle A029600 that are different from 2.at n=45A029607
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=49A029614
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600 that are different from 3.at n=36A029615
- Table read by rows: list of even numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=24A029617
- Even numbers in (3,2)-Pascal triangle A029618.at n=57A029623
- Even numbers in (3,2)-Pascal triangle A029618 that are different from 2.at n=44A029625
- Numbers to left of central numbers of the (3,2)-Pascal triangle A029618.at n=55A029628
- Numbers to left of central elements of the (3,2)-Pascal triangle A029618 that are different from 3.at n=41A029629
- Even numbers to left of central elements of the (3,2)-Pascal triangle A029618.at n=26A029631
- Triangle read by rows: T(k,j) = ((2*j+1)/(k+1))*binomial(2*j,j)*binomial(2*k-2*j,k-j).at n=46A033820
- Convolution of Catalan numbers A000108 with Catalan numbers but C(0)=1 replaced by 3.at n=8A038629
- Numerators of continued fraction convergents to sqrt(321).at n=5A041606
- Distinct numbers in writing first numerator and then denominator of 1/2-Pascal triangle (by row).at n=55A046220
- First numerator and then denominator of central elements of 1/2-Pascal triangle.at n=16A046222
- First denominator and then numerator of central elements of 1/2-Pascal triangle.at n=17A046223
- Distinct numbers seen when writing first numerator and then denominator of central elements of 1/2-Pascal triangle.at n=8A046224