16144
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
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 31310
- Proper Divisor Sum (Aliquot Sum)
- 15166
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 2018
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 115
- 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) is the concatenation of n and 9n.at n=15A009474
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(2,5) + cn(3,5) and cn(0,5) < cn(4,5) + cn(2,5) + cn(3,5).at n=35A039847
- Smallest multiple of n beginning with n and having a digit sum n, or 0 if no such number exists.at n=15A077727
- Number of peaks at odd levels in all hill-free Dyck paths of semilength n+3 (a hill in a Dyck path is a peak at level 1).at n=7A114587
- Number of partitions of n having no parts with multiplicity 6.at n=36A184641
- Number of primes up to 10^(n/4).at n=21A210518
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and 2w+x+y>0.at n=16A211617
- Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments).at n=19A274470
- Number of partitions of n containing no part i of multiplicity i+1.at n=37A277099
- Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=11A302461
- Number of prime parts in the partitions of n into 7 parts.at n=45A309436
- Expansion of e.g.f. exp(Sum_{k>=1} phi(k)*x^k/k), where phi is the Euler totient function A000010.at n=7A318917
- Numbers with mutually distinct exponents in their prime factorization (A130091) with a record gap to the next term of A130091.at n=9A342032
- Construct a square spiral: a(n) is the sum of all adjacent terms a(k) in the spiral for k < n; a(1) = 0, a(2) = 1.at n=44A358429
- Number of multisets of nonempty strict integer partitions with a total of 2n parts and total sum of 3n.at n=14A360785
- Expansion of e.g.f. exp(2*x/3) / (1-3*x)^(1/9).at n=6A381505