10155
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16272
- Proper Divisor Sum (Aliquot Sum)
- 6117
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5408
- Möbius Function
- -1
- Radical
- 10155
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 33.at n=33A031531
- Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487).at n=37A050355
- Interprimes which are of the form s*prime, s=15.at n=37A075290
- Number of irreducible polynomials (over the rationals) of form a*x^2+b*x+c, 1 <= a,b,c <= n.at n=21A079671
- Number of circular compositions of n such that no two adjacent parts are equal.at n=21A106369
- Where records occur in A117831.at n=16A118474
- 5 times centered pentagonal numbers: 5*(5*n^2 + 5*n + 2)/2.at n=28A164015
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=18A213319
- spt(n) - p(n): total number of smallest parts in all partitions of n minus the number of partitions of n.at n=26A215513
- Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 9.at n=59A245149
- Numbers m, such that the smallest prime factor of 1+78557*2^m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}.at n=30A258095
- Expansion of f(x, x^2) * f(x^4, x^8) / f(-x^3, -x^6)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=45A260183
- Numbers n which are neither palindromes nor the sum of two palindromes, with property that the largest palindrome which when subtracted from n yields the sum of two palindromes is not the palindromic floor of n (A261423(n)), but rather the next palindrome below that.at n=26A261911
- a(n) is the sum of the prime factors, with repetition, of the sum of all preceding terms, with initial terms a(1)=1 and a(2)=2.at n=50A269004
- Numbers that appear in both A278909 and A280967 but not in A280971.at n=40A280972
- Integers that need 10 iterations of the map x->A352172(x) to reach 1.at n=29A352268
- Expansion of g.f. A(x) satisfying 3 = Sum_{n=-oo..+oo} x^n * A(x)^n * (1 + x^n)^(2*n+1).at n=7A363015