5145
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9600
- Proper Divisor Sum (Aliquot Sum)
- 4455
- 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
- 2352
- Möbius Function
- 0
- Radical
- 105
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=29A003378
- Coordination sequence T1 for Zeolite Code MTN.at n=43A008186
- sec(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+5145/8!*x^8...at n=8A013244
- Expansion of e.g.f.: sec(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7...at n=8A013256
- sec(log(x+1)-arctanh(x))=1+3/4!*x^4+90/6!*x^6+5145/8!*x^8...at n=4A013303
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=32A014865
- Position of n^3 + 9 in A024975.at n=35A024979
- 4th elementary symmetric function of C(n,0), C(n,1), ..., C(n,[ n/2 ]).at n=1A025139
- a(n) = 49*(n-1)*(n-2)/2.at n=13A027469
- Numbers k such that 255*2^k+1 is prime.at n=30A032504
- Number of rooted labeled triangular cacti with 2n+1 nodes (n triangles).at n=3A034940
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0,3.at n=4A037692
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=30A039840
- Odd numbers with exactly 5 palindromic prime factors (counted with multiplicity).at n=23A046375
- Matrix 6th power of partition triangle A008284.at n=37A050300
- a(n) = Product_{j=0..floor(n/2)} binomial(n,j).at n=6A061778
- Numbers k such that k and its reversal are both multiples of 15.at n=16A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=11A062914
- Numbers k such that sigma_k(k)/k is an integer, where sigma_k(k) is the sum of the k-th powers of the divisors of k (A023887).at n=38A067313
- Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k.at n=27A070275