5450
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10230
- Proper Divisor Sum (Aliquot Sum)
- 4780
- 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
- 2160
- Möbius Function
- 0
- Radical
- 1090
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 67
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=30A020356
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=42A031417
- Numbers whose base-2 representation has exactly 12 runs.at n=4A043579
- Numbers whose base-4 representation contains exactly four 1's and two 2's.at n=34A045107
- Numbers whose base-5 representation contains exactly two 0's and three 3's.at n=15A045198
- Numbers n such that n through n+4 are divisible by the same number of distinct primes.at n=43A045933
- Numbers k such that phi(k) divides (sigma(k+2) + sigma(k-2)).at n=36A067245
- Last digit of n, phi(n) and sigma(n) is 0 in base 10.at n=40A072604
- Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k.at n=12A076425
- a(0)=1; for n > 0, a(n) = least k not included earlier such that k*a(n-1) - 1 is a square.at n=47A082607
- Starting positions of strings of three 7's in the decimal expansion of Pi.at n=8A083631
- Number of 2-anisohedral polyominoes of order n.at n=18A120646
- 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, 0, 0), (1, 0, -1), (1, 1, 1)}.at n=8A149246
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=25A152995
- G.f. satisfies: A(x/A(x)) = C(x)^2 where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=5A168449
- Numbers n such that sqrt(36*n+49) is prime.at n=29A168669
- Number of isomorphism classes of nanocones with 4 pentagons and a nearsymmetric boundary of length n.at n=10A198016
- 20k^2-40k+10 interleaved with 20k^2-20k+10 for k>=0.at n=35A216875
- Number of (n+2)X3 0..2 arrays with all rows having a nonnegative second derivative, and all columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=1A223390
- T(n,k) is the number of (n+2) X k 0..2 arrays with all rows having a nonnegative second derivative, and all columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=7A223391