4144
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 9424
- Proper Divisor Sum (Aliquot Sum)
- 5280
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 518
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 126
- 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 points on y^2 + xy = x^3 + x^2 + x over GF(2^n).at n=11A002248
- Coordination sequence T6 for Zeolite Code MTW.at n=42A008201
- Numerator of sum of -3rd powers of divisors of n.at n=32A017669
- A generalized difference set on the set of all integers (lambda = 1).at n=18A024431
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=20A026040
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=37A031465
- Concatenation of n and n + 3.at n=40A032608
- Numbers whose set of base-10 digits is {1,4}.at n=25A032822
- Numbers k such that tau(sigma(k)) = tau(k) where tau(k) is the number of divisors of k and sigma(k) their sum.at n=44A037197
- Related to enumeration of edge-rooted catafusenes.at n=13A039660
- Numerators of continued fraction convergents to sqrt(260).at n=2A041486
- a(n)=A033002(n)/5.at n=45A043308
- Numbers having three 0's in base 8.at n=19A043423
- Numbers having three 4's in base 10.at n=5A043507
- Numbers whose base-16 representation has exactly 4 runs.at n=30A043677
- First terms from generation 1 onwards.at n=11A048456
- Twice second pentagonal numbers.at n=37A049451
- a(n) = a(n-1) + n^2 if n prime else a(n-1) - n, starting with a(0) = 0.at n=39A051353
- a(n) contains n digits (either '1' or '4') and is divisible by 2^n.at n=3A053314
- Inverse Moebius transform of A001371 (starting at term 0).at n=17A054158