9234
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21840
- Proper Divisor Sum (Aliquot Sum)
- 12606
- 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
- 2916
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 109
- 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 + x*exp(x))^2.at n=9A002999
- Number of loopless multigraphs with 7 nodes and n edges.at n=10A014397
- Numbers k such that k divides 2^(k+1) - 2.at n=32A014741
- Positive integers n such that n | (2^n + n/2 - 1).at n=30A015942
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T7 atom.at n=12A019193
- 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 96.at n=1A031594
- "DFK" (bracelet, size, unlabeled) transform of 2,2,2,2...at n=21A032214
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=36A032279
- Gaps of 7 in sequence A038593 (lower terms).at n=26A038653
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=29A038852
- Numbers ending with '4' that are the difference of two positive cubes.at n=23A038859
- Base-8 palindromes that start with 2.at n=34A043022
- Numbers having four 2's in base 8.at n=4A043432
- Numbers k such that the sum over the prime divisors of k equals the number of divisors of k.at n=37A069234
- Partial sums of n 3-spaced triangular numbers beginning with t(2), e.g., a(2) = t(2) + t(5) = 3 + 15 = 18.at n=17A085789
- When this sequence is interleaved with its first differences and the resulting sequence is divided into blocks of 10 digits, each block contains 10 distinct digits. Each term is chosen to be the smallest that satisfies this property.at n=10A101246
- When this sequence is interleaved with its first differences and the resulting sequence is divided into blocks of 10 digits, each block contains 10 distinct digits. Each term is chosen to be the smallest that satisfies this property.at n=9A101246
- G.f.: cube root of theta series of E*_6 lattice (cf. A005129).at n=6A109144
- Numbers m with even length such that phi(m)=phi(d_1^d_2)*phi(d_3^d_4) *...*phi(d_(k-1)^d_k) where d_1 d_2 ... d_k is the decimal expansion of m.at n=4A112011
- G.f.: (1+x^2)^2*(x^4-6*x^3+1)/(x^2-1)^4.at n=38A115046