9484
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16604
- Proper Divisor Sum (Aliquot Sum)
- 7120
- 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
- 4740
- Möbius Function
- 0
- Radical
- 4742
- 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
- yes
- Odd
- no
Appears in sequences
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=26A022767
- a(n) = T(2*n, n+3), T given by A027011.at n=4A027014
- a(n) = T(n, 2*n-7), T given by A027960.at n=10A027969
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=37A031814
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=59A035590
- Expansion of (1-x^2)/(1-2x-2x^2+x^3+x^4).at n=10A052988
- a(n+1)=a(n)+a^(n), where the addition is in base 11 and where a^(n) is obtained from a(n) by replacing each digit with its multiplicative inverse modulo 11. Zero digits, if any, are deleted.at n=11A053697
- Number of 4 X n grids of black and white cells, no 3 of same color vertically or horizontally contiguous.at n=4A060522
- Expansion of q^(-1/3) * eta(q^6)^2 / (eta(q) * eta(q^3)) in powers of q.at n=30A097197
- Largest number that is not the sum of five n-gonal numbers.at n=21A118367
- a(n) = a(n-1) + a(n-2), starting with 110, 211.at n=9A120727
- Sums of three consecutive hexagonal numbers.at n=39A129109
- Row sums of triangle A131819.at n=29A131820
- Expansion of psi(-q^3) / f(q) where psi(), f() are Ramanujan theta functions.at n=30A139135
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=7A150613
- Number of Dyck paths with no UUU's and no DDD's of semilength n and having k UUDUDD's (0<=k<=floor(n/3); U=(1,1), D=(1,-1)).at n=47A162984
- Sums of NW-SE diagonals of triangle A172171.at n=15A172172
- G.f. satisfies: x = Sum_{n>=1} 1/A(x)^(3*n) * Product_{k=1..n} (1 - 1/A(x)^k).at n=7A181997
- 1/16 the number of (n+1) X 5 0..3 arrays with all 2 X 2 subblocks having the same four values.at n=10A184034
- Number of strings of numbers x(i=1..5) in 0..n with sum i^3*x(i) equal to 125*n.at n=31A184260