9154
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 5246
- 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
- 4356
- Möbius Function
- -1
- Radical
- 9154
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = round(n*phi^11), where phi is the golden ratio, A001622.at n=46A004946
- 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 94.at n=24A031592
- a(n) = n * prime(n).at n=45A033286
- Denominators of continued fraction convergents to sqrt(471).at n=8A041899
- Numbers k such that phi(k) and sigma(k) are both perfect squares.at n=10A067781
- Numbers n such that n and the n-th prime have the same digits.at n=27A074350
- Bond series for second parallel moment of 4.8 (bathroom tile) lattice.at n=15A120555
- Number of nondecreasing integer sequences of length 8 with sum zero and sum of absolute values 2n.at n=16A158142
- a(n) = (n^3 - 2*n^2 + 3*n + 2)/2.at n=27A189890
- G.f.: 1/((1-t^6)*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^9)*(1-t^11)).at n=66A266746
- The chalcogen sequence (a(n) = A018227(n)-2).at n=34A271994
- Numbers n such that Bernoulli number B_{n} has denominator 282.at n=26A272184
- Expansion of r(q^4) / r(q)^4 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=32A285584
- Numbers n such that both phi(n) and psi(n) are perfect squares.at n=23A291549
- Numbers n such that phi(n), psi(n) and sigma(n) are simultaneously perfect squares.at n=4A301867
- Expansion of Product_{k>=1} 1/(1-x^(3*k-1)) * Product_{k>=1} 1/(1-x^(6*k-5)).at n=54A304883
- Numbers that are the sum of 4 nonzero 4th powers in more than one way.at n=19A309763
- Number of distinct structures that can be made from n cubes without overhangs.at n=9A331621
- Numbers that are the sum of four fourth powers in exactly two ways.at n=19A344193
- Two-column array read by rows, where the n-th row is the least pair of integers (p, q) such that f(p) = f(n) + q*f(n+1) where f(n) = A002496(n) is the n-th prime of the form k^2+1.at n=40A352582