5177
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
- 4
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 199
- 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
- 4980
- Möbius Function
- 1
- Radical
- 5177
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=15A010013
- n written in fractional base 9/5.at n=52A024653
- Numbers k such that 185*2^k+1 is a prime.at n=12A032469
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(3,5) = cn(4,5).at n=69A036871
- Number of labeled bipartite graphs with n nodes.at n=6A047864
- Numbers k such that 277*2^k-1 is prime.at n=10A050897
- Numbers n such that phi(2n-1) = sigma(n).at n=27A067230
- Numbers n such that sigma(n)=phi(n*bigomega(n)-1).at n=19A067877
- Numbers k such that sigma(k) = phi(k*omega(k)-1).at n=28A067878
- a(1) = 1, a(2n) = smallest prime > (2n-1)-th partial sum of the sequence itself and a(2n+1) = smallest composite number > 2n-th partial sum of the sequence.at n=12A076636
- Cardinality of set of sets of parts of all partitions of n.at n=38A088314
- a(n) = (n-2)*a(n-2) - a(n-3), with a(0)=0, a(1)=1, a(2)=2.at n=12A122048
- Triangle read by rows: T(n,k) = 2 * A011971(n,k) - 1.at n=33A136791
- Numerator of Laguerre(n, -4).at n=6A160611
- Number of binary strings of length n with equal numbers of 00101 and 10101 substrings.at n=13A164249
- a(n) = (11*n^2 - 7*n)/2.at n=31A180223
- a(n+1) is the least k such that 1/(a(n)+1) + 1/(a(n)+2) + ... + 1/k > 1, with a(1) = 1.at n=8A180224
- Number of (n+1) X 5 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=10A186457
- Integer solutions x to the equation A064380(x)-A000010(x)=5.at n=38A186781
- Stack polyominoes with square core.at n=37A188674