7700
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 20832
- Proper Divisor Sum (Aliquot Sum)
- 13132
- 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
- 2400
- Möbius Function
- 0
- Radical
- 770
- 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
- 52
- 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
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=33A000297
- Convolution of A000203 with itself.at n=24A000385
- Highest degree of an irreducible representation of symmetric group S_n of degree n.at n=11A003040
- Degrees of irreducible representations of symmetric group S_12.at n=76A003876
- Number of primitive polynomials of degree n over GF(3).at n=10A027385
- Expansion of 1/((1-3x)(1-5x)(1-9x)(1-11x)).at n=3A028069
- a(n) = n*(4*n-1).at n=44A033991
- Multiplicity of highest weight (or singular) vectors associated with character chi_76 of Monster module.at n=36A034464
- Number of ways to place two nonattacking queens on an n X n board.at n=11A036464
- Numerators of continued fraction convergents to sqrt(613).at n=7A042176
- Expansion of Product_{k>=0} 1/(1 - x^(k+1))^A001156(k).at n=24A045842
- a(n) = T(n,n-1), array T as in A050143. Also T(2n+1,n), array T as in A055807.at n=6A050147
- Numbers m such that 2*phi(m) = phi(m+1).at n=13A050472
- McKay-Thompson series of class 15B for Monster.at n=45A058509
- Coefficient triangle of certain polynomials N(5; m,x).at n=31A062190
- Numbers k such that k*rev(k) is a square different from k^2, where rev=A004086, decimal reversal.at n=29A070760
- Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.at n=28A087035
- a(n) = prime(n) + prime(n^2).at n=30A092504
- McKay-Thompson series of class 24f for the Monster group with a(0) = -2.at n=45A093067
- a(n) = n^2*(n+1)*(2*n+1)/3.at n=9A098077