15370
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29160
- Proper Divisor Sum (Aliquot Sum)
- 13790
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5824
- Möbius Function
- 1
- Radical
- 15370
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 146
- 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
- yes
- Odd
- no
Appears in sequences
- Representation degeneracies for boson strings.at n=30A005294
- For even n, a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n); for odd n, the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n); a(0) = 4, a(1) = 16.at n=6A022030
- Positive numbers k such that k and 2*k are anagrams in base 9 (written in base 9).at n=25A023079
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=34A024480
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=39A037257
- Denominators of continued fraction convergents to sqrt(334).at n=11A041631
- Expansion of (1-x)/(1 - x - 2*x^3 + x^4).at n=25A052916
- The even composites c such that c=q*g*j*y and q+g=j*y where q,g,j,y are primes.at n=31A167690
- Records in A087669.at n=33A192230
- a(n) = 13*n^2 - 16*n + 5.at n=35A202141
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=23A248712
- a(n) = 2^n - A006951(n).at n=28A264687
- a(n) = 9a(n-1) - 9a(n-2) + a(n-3).at n=4A272365
- Numbers of the form a^4 + b^6, with integers a, b > 0.at n=41A303374
- Reduced Clausen numbers.at n=20A325147
- Irregular triangle T read by rows: T(n, k) is the number of n-th order magic triangles with magic constant equal to A285009(n) + k, with 0 < k <= 3*n - 5.at n=38A342384
- Irregular triangle T read by rows: T(n, k) is the number of n-th order magic triangles with magic constant equal to A285009(n) + k, with 0 < k <= 3*n - 5.at n=47A342384
- Numbers whose squares have the first three digits the same as the next three digits.at n=39A353080
- Numbers k such that A360119(k) > 1, but which have no divisors d > 1 such that d+1 is also a divisor.at n=37A360129
- Distinct values of A378664(k) in the order of appearance, when k ranges over those primitively abundant numbers k for which A378664(k) is less than the largest proper divisor of k.at n=24A378740