5754
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13248
- Proper Divisor Sum (Aliquot Sum)
- 7494
- 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
- 1632
- Möbius Function
- 1
- Radical
- 5754
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 54
- 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
- Cluster series for cubic lattice.at n=6A003211
- Coordination sequence T4 for Zeolite Code MFS.at n=47A008176
- a(n) = ((n+1)-st Lucas number) - (n-th non-Lucas number).at n=16A014243
- a(n) = 3rd elementary symmetric function of {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=4A024523
- Theta series of hypothetical extremal 16-dimensional strongly 6-modular lattice.at n=4A030020
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 5).at n=42A035563
- Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=47A057492
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=31A064483
- Integers i > 1 for which there is no prime p such that i is a solution mod p of x^4 = 2.at n=7A065903
- Self-convolution of A073711.at n=35A073712
- Number of ways a loop can cross two parallel roads 2n times.at n=6A085973
- Number of partitions of n having positive even rank (the rank of a partition is the largest part minus the number of parts).at n=38A101708
- Integers n such that 10^n+91 is a prime number.at n=11A110918
- Triangle of coefficients of (x+1)*(x+3)*(x+6)*...*(x+n(n+1)/2).at n=38A128813
- Bisection of A138543.at n=4A136046
- Moment sequence of tr(A^3) in USp(6).at n=8A138543
- Number of Fibonacci parts in the last section of the set of partitions of n.at n=27A144117
- 3 times heptagonal numbers: a(n) = 3*n*(5*n-3)/2.at n=28A152773
- Worpitzky(n, k)*Harmonic(k), triangle read by rows.at n=26A176276
- Third accumulation array, T, of the natural number array A000027, by antidiagonals.at n=42A185508