5157
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 2523
- 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
- 3420
- Möbius Function
- 0
- Radical
- 573
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code FER.at n=44A008107
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(3,9).at n=7A018919
- Numbers k such that k^2 is palindromic in base 4.at n=18A029986
- Lucky numbers that are decimal concatenations of n with n + 6.at n=6A032656
- 4-wave sequence.at n=26A038197
- Third line of 4-wave sequence A038197.at n=8A038249
- Odd numbers with exactly 4 palindromic prime factors (counted with multiplicity).at n=36A046374
- McKay-Thompson series of class 32A for Monster.at n=32A058629
- Trisection of A007294.at n=30A073470
- Numbers which retain their position in A073666 (position not disturbed by the rearrangement).at n=35A073667
- Number of ternary (0,1,2) sequences without a consecutive '012'.at n=8A076264
- Numbers n such that the sum of the digits of phi(n)^sigma(n) is divisible by n.at n=14A109668
- Start with 1 and repeatedly reverse the digits and add 73 to get the next term.at n=44A118221
- Triangle read by rows: T(n,k) is the number of ternary words of length n containing k 012's (n >= 0, 0 <= k <= floor(n/3)).at n=15A119851
- The (1,2)-entry in the 3 X 3 matrix M^n, where M = {{2, 1, 1}, {1, 1, 0}, {1, 0, 0}}.at n=9A123941
- Numbers k such that 2*k-1, 4*k-1 and 6*k-1 are primes.at n=44A124486
- Sum of fourth powers of trinomial coefficients: a(n) = Sum_{k=0..2n} trinomial(n,k)^4 where trinomial(n,k) = [x^k] (1 + x + x^2)^n.at n=3A132304
- Number of 1's in row n of A143589 (a Kolakoski fan).at n=24A143591
- 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, 1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=7A150196
- a(n) = A030068(4n+1).at n=34A169739