7542
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 8838
- 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
- 2508
- Möbius Function
- 0
- Radical
- 2514
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 114
- 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
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=46A017855
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 86.at n=9A031584
- Multiplicity of highest weight (or singular) vectors associated with character chi_138 of Monster module.at n=41A034526
- Coefficients of the '6th-order' mock theta function rho(q).at n=44A053270
- Coefficients of the '6th-order' mock theta function lambda(q).at n=44A053272
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=23A063362
- Rounded volume of a regular tetrahedron with edge length n.at n=40A071399
- Gregorian calendar years with Ascension Day in April.at n=29A084427
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=8A085775
- For each pair of twin primes (p,p+2) take the absolute value of the difference between p and p with digits reversed.at n=51A088489
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=24A099631
- Binomial transform of A100060.at n=14A106399
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=32A109182
- Integer part of the volume of a regular tetrahedron with edge length n.at n=39A171973
- a(n) = a(n-1) + A073053(a(n-1)).at n=33A173578
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=37A179140
- a(n) = Sum_{k=1..n} lcm(k,k')/gcd(k,k'), where n' is arithmetic derivative of n.at n=42A190120
- Number of (w,x,y,z) with all terms in {1,...,n} and w>=average{x,y,z}.at n=11A212089
- Number of partitions of n such that the absolute value of the difference between the number of odd parts and the number of even parts is <=1.at n=40A239835
- Expansion of (2*x^4+x^3+x)/(-x^2-2*x+1).at n=11A265107