16110
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 42120
- Proper Divisor Sum (Aliquot Sum)
- 26010
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4272
- Möbius Function
- 0
- Radical
- 5370
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- Triangular numbers (A000217) with prime indices.at n=40A034953
- Even triangular numbers with prime indices.at n=21A034955
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=29A045152
- Triangular numbers with every digit a triangular number.at n=15A062100
- Smallest triangular number whose final digits are A068125(n).at n=49A068126
- Triangular numbers which are a concatenation of two or more positive triangular numbers.at n=27A068144
- Triangular numbers of the form 10*k.at n=35A069498
- Trisection of A007294.at n=37A073472
- Smallest multiple of n-th prime which is == 1 mod (n+1)-st prime.at n=40A073603
- Triangular numbers which are 5-almost primes.at n=37A076579
- Triangular numbers obtained as a concatenation of successive terms of A081847.at n=15A082235
- Smallest triangular number > 1 and == 1 (mod prime(n)).at n=41A087397
- Triangle read by rows in which the n-th row contains the n smallest triangular numbers with the least significant digits of the n-th triangular number.at n=8A095225
- First element of first run of exactly n consecutive numbers not of form x^2+y^2.at n=18A104271
- Negative numbers written in a bits-of-Pi/primorial base system.at n=25A109839
- Numbers of the form prime(n) + prime(n+1) - 2 that are also triangular numbers, T(k) = k(k+1)/2.at n=19A110891
- Triangular numbers all of whose digits are nonprimes.at n=24A111484
- Matrix log of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=10A111833
- Column 0 of the matrix logarithm (A111833) of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying the element in row n by n!.at n=4A111834
- Hexagonal numbers for which the product of the digits is also a hexagonal number.at n=38A117063