14028
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 37632
- Proper Divisor Sum (Aliquot Sum)
- 23604
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3984
- Möbius Function
- 0
- Radical
- 7014
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=38A002597
- a(n) = 2*n*(4*n - 1).at n=42A014635
- Distinct even elements in the 5-Pascal triangle A028313.at n=34A028320
- Even elements to the right of the central elements of the 5-Pascal triangle A028313.at n=29A028321
- Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=28A029552
- Triangular numbers (A000217) with prime indices.at n=38A034953
- Even triangular numbers with prime indices.at n=20A034955
- Numbers k such that 3*13^k - 2 is prime.at n=10A058025
- a(n) = 25*n*(n + 1)/2 + 3.at n=33A061793
- Numbers k that, when expressed in base 6 and then interpreted in base 7, give a multiple of k.at n=7A062934
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,47.at n=4A064260
- Triangular numbers with sum of digits = 15.at n=25A068130
- Triangular numbers of the form 21*k.at n=31A069499
- Triangular numbers in A062918.at n=13A069792
- a(1) = 0, then smallest triangular number such that a(n+1)- a(n) is a palindrome.at n=21A075057
- Triangular numbers which are 5-almost primes.at n=33A076579
- a(1) = 1, a(n+1) is the largest triangular number <= n*a(n).at n=8A077002
- Triangular numbers equal to the difference between a prime number and its index.at n=29A115887
- Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=18A117062
- Hexagonal numbers for which the product of the digits is also a hexagonal number.at n=34A117063