5160
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 15840
- Proper Divisor Sum (Aliquot Sum)
- 10680
- 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
- 1344
- Möbius Function
- 0
- Radical
- 1290
- Omega Function (Ω)
- 6
- 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
- 103
- 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
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=45A005710
- 11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3*n-2)/2.at n=15A007586
- Coordination sequence T7 for Zeolite Code NES.at n=46A008211
- arctanh(arcsin(arcsin(x)))=x+4/3!*x^3+92/5!*x^5+5160/7!*x^7+532880/9!*x^9...at n=3A012071
- Expansion of 1/(1 - x^8 - x^9 - ...).at n=53A017902
- Powers of cube root of 2 rounded down.at n=37A017979
- Expansion of g.f. 1/((1-7*x)*(1-8*x)*(1-9*x)).at n=3A020782
- Number of partitions of n with equal number of parts congruent to each of 1, 3 and 4 (mod 5).at n=54A035580
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0.at n=4A037524
- Denominators of continued fraction convergents to sqrt(321).at n=7A041607
- a(n) = T(2n,n), where T is given by A048113.at n=8A048116
- Numbers k such that 135*2^k-1 is prime.at n=22A050593
- Numbers k such that k | sigma_7(k).at n=32A055711
- Number of singular points on n-th order Chmutov surface.at n=23A057870
- Sums of nonconsecutive factorial numbers.at n=29A060112
- Positions of the permutations which have the same rank in A055089 and A060118, i.e., the fixed points of permutations A060120 and A060127.at n=45A060133
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=20A060675
- Numbers k such that k and its reversal are both multiples of 15.at n=17A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=12A062914
- Integers of the form m! + n!, m and n = positive integers.at n=25A066847