13332
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34272
- Proper Divisor Sum (Aliquot Sum)
- 20940
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4000
- Möbius Function
- 0
- Radical
- 6666
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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) = d(n)/2, where d = A026040.at n=40A026041
- All 81 combinations of prefixing and following a(n) by a single digit are nonprime.at n=5A032734
- Composite numbers k such that all the decimal concatenations ik and ikj (i, j = 1...9) are also composite.at n=3A032737
- a(n) = k such that the k-th triangular number is A068808(n).at n=23A067991
- Numbers k such that k+1 is composite and divides 3^k-2^k.at n=27A068410
- Number of Fibonacci numbers F(k), k <= 10^n, which end in 3.at n=4A073551
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=26A077096
- a(n) is the least number with n palindromic divisors.at n=19A087997
- a(n) = n*(n^4 + 30*n^3 + 395*n^2 + 2910*n + 11064)/120.at n=11A090391
- Number of palindromic divisors of a(n) sets a new record.at n=13A093036
- List of molecules in Hintze-Adami artificial chemistry (see comments for definition).at n=15A101145
- {n concatenate R(n)} + {R(n) concatenate n}, where R(n) = digit reversal of n.at n=39A110724
- Numbers k such that the k-th triangular number contains only digits {0,7,8}.at n=4A119094
- Numbers k such that the k-th triangular number contains only digits {1,7,8}.at n=10A119147
- Numbers k such that the k-th triangular number contains only digits {2,7,8}.at n=10A119179
- Numbers k such that the k-th triangular number contains only digits {3,7,8}.at n=5A119201
- Numbers k such that the k-th triangular number contains only digits {4,7,8}.at n=5A119217
- Numbers k such that the k-th triangular number contains only digits {5,7,8}.at n=11A119225
- Numbers k such that the k-th triangular number contains only digits {6,7,8}.at n=8A119231
- Numbers k such that the k-th triangular number contains only digits {7,8,9}.at n=3A119237