12159
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20176
- Proper Divisor Sum (Aliquot Sum)
- 8017
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 0
- Radical
- 4053
- Omega Function (Ω)
- 4
- 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
- 68
- 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
- MacMahon's generalized sum of divisors function.at n=20A002128
- Number of segments created by diagonals of n-gon.at n=18A014629
- Number of balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing).at n=36A019298
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027144.at n=10A027151
- Number of n-node rooted trees of height at most 8.at n=13A034825
- Sums of 12 distinct powers of 2.at n=17A038463
- Gaps of 7 in sequence A038593 (lower terms).at n=31A038653
- Gaps of 7 in sequence A038593 (upper terms).at n=30A038654
- Number of primes less than 10000n.at n=12A038813
- Numbers ending with '9' that are the difference of two positive cubes.at n=39A038864
- Number of primitive (period n) periodic palindromes using a maximum of two different symbols.at n=25A056493
- Number of primitive (period n) periodic palindromes using exactly two different symbols.at n=25A056498
- Product of n-th prime number and n-th composite number.at n=43A067563
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=37A086120
- Expansion of 1 / Product_{n>=0} (1-q^(5n+1))(1-q^(5n+2))(1-q^(5n+3)).at n=46A107234
- Triangle T(n, k) = prime(n)^k - 2^(2*k-3) with T(n, 1) = prime(n), read by rows.at n=38A153488
- Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others.at n=36A183898
- Number of 10's in the last section of the set of partitions of n.at n=52A206560
- Minimal natural number (in decimal representation) with n prime substrings in binary representation (substrings with leading zeros are considered to be nonprime).at n=43A217302
- Number of 2 X n 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=10A232048