9245
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11358
- Proper Divisor Sum (Aliquot Sum)
- 2113
- 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
- 7224
- Möbius Function
- 0
- Radical
- 215
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 153
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-8*x)*(1-9*x)*(1-12*x)).at n=3A020978
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 21 (most significant digit on right).at n=16A029514
- a(n) = 5*n^2.at n=43A033429
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 5).at n=46A035556
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+7 or 24k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=47A036032
- Number of rooted trees with n nodes and 4 leaves.at n=12A055279
- Numbers k such that the k-th prime is of the form 2*j^2 + 1.at n=32A090612
- Spiro-tribonacci numbers: a(n) = sum of three previous terms that are nearest when terms arranged in a spiral.at n=28A092360
- a(n) = (n+1)*prime(n) + n*prime(n+1).at n=32A097240
- Number of partitions of 2n in which each odd part has even multiplicity and each even part has odd multiplicity.at n=24A100847
- a(n) = 8*n^2 - 3.at n=33A108928
- Sequence is identical to its third differences in absolute values: a(n+k)=3a(n+k-1)-3a(n+k-2)+2a(n+k-3), k=0, 1, 2, 3, 4, a(n+5)=3a(n+4)-3a(n+3), n > 2.at n=15A132418
- Antidiagonal sums of the convolution array A213756.at n=8A213758
- n - (sum of prime factors of n^2+1) is a positive square.at n=28A216896
- Expansion of Product_{k>=1} 1/(1 - (5*k-1)*x^(5*k-1)).at n=29A265831
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 446", based on the 5-celled von Neumann neighborhood.at n=26A272250
- Remainder when sum of squares of the first n primes is divided by n-th square pyramidal number.at n=29A282282
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.at n=26A287908
- Increasing sequence where a(n) is the smallest integer not yet in the sequence with no digits shared with the term a(n-2), no repeated digits, and no 0-digit allowed.at n=42A290387
- Indices (starting at 0) of integers in the increasing sequence S of nonnegative numbers that are representable in base 3/2 with digits {0, H=1/2, 1}.at n=34A320035