5159
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6528
- Proper Divisor Sum (Aliquot Sum)
- 1369
- 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
- 3960
- Möbius Function
- -1
- Radical
- 5159
- 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
- 147
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that Fibonacci(k) == 34 (mod k).at n=41A023180
- Numerators of continued fraction convergents to sqrt(379).at n=5A041718
- Numbers whose consecutive digits differ by 4.at n=44A048406
- Numbers k such that sigma(k+1) = 4*phi(k).at n=46A067262
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=9A070192
- Expansion of (1+x^3*C)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071727
- Where A007535 reaches a record.at n=23A098653
- Number of integer partitions of n whose sequence of frequencies is strictly increasing.at n=51A100471
- Number of partitions of n such that all parts, with the possible exception of the smallest, appear only once.at n=39A115029
- Maximal number of squares of side 1 in a disk of radius n.at n=40A125228
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^3).at n=33A127759
- Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).at n=18A132410
- Triangle read by rows: (A000012 * A136572 + A136572 * A000012) - A000012.at n=33A136573
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1100-0111-0010 pattern in any orientation.at n=10A147150
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1100-0111-0010 pattern in any orientation.at n=22A147152
- Triangle read by rows: T(n,k) = 1 + n! - k! - (n - k)! + k!*(n - k)!.at n=30A155453
- Triangle read by rows: T(n,k) = 1 + n! - k! - (n - k)! + k!*(n - k)!.at n=33A155453
- Number of lines through at least 2 points of a 10 X n grid of points.at n=15A160850
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=5, k=0 and l=1.at n=6A176609
- The number of dominance pairs of integer partitions of n according to either/or dominance order, where dominance between two partitions x and y means that x is majorized by y or y is majorized by x.at n=12A182988