5824
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
- 28
- Divisor Sum
- 14224
- Proper Divisor Sum (Aliquot Sum)
- 8400
- 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
- 2304
- Möbius Function
- 0
- Radical
- 182
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 98
- 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
- Number of n X n invertible binary matrices A such that A+I is invertible.at n=4A002820
- a(n) = n*a(n-1) - a(n-2) + 1 + (-1)^n.at n=7A003470
- Define predecessors of n, P(n), to consist of numbers whose binary representation is obtained from that of n by replacing 10 with 01 or changing a final 1 to a 0; then a(0)=1, a(n) = Sum a(P(n)), n>0.at n=57A004065
- Coordination sequence T3 for Zeolite Code DOH.at n=47A008080
- Coordination sequence T1 for Zeolite Code EUO.at n=47A008095
- Expansion of exp(x)/cosh(tan(x)).at n=9A009297
- Expansion of e.g.f. sin(x)/cos(tanh(x)) (odd powers only).at n=4A009556
- Differences between two positive cubes in exactly 2 ways.at n=4A014440
- Expansion of 1/((1-4x)(1-5x)(1-8x)(1-9x)).at n=3A028120
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=33A029713
- 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 37.at n=29A031535
- Difference between two positive cubes in more than one way.at n=5A034179
- Gaps of 7 in sequence A038593 (lower terms).at n=21A038653
- Numbers ending with '4' that are the difference of two positive cubes.at n=15A038859
- (n+4)^3 - n^3.at n=19A038866
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=19A045614
- Even numbers in the numerators of the 1/5-Pascal triangle (by row).at n=51A046625
- Distinct even numbers in the numerators of the 1/5-Pascal triangle (by row).at n=27A046626
- Distinct even numbers in writing numerators of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=23A046629
- Theta series of 14-dimensional lattice M14,2 with minimal norm 7.at n=15A047635