3143
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 457
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 1
- Radical
- 3143
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 105
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Shifts left when inverse Moebius transform applied twice.at n=33A007557
- Coordination sequence T2 for Zeolite Code MTW.at n=37A008197
- Coordination sequence T4 for Zeolite Code NON.at n=34A008215
- Coordination sequence T2 for Zeolite Code PAU.at n=41A008220
- Coordination sequence T4 for Zeolite Code PAU.at n=41A008222
- Coordination sequence T3 for Zeolite Code RUT.at n=37A009899
- Numbers k such that Fib(k) == 13 (mod k).at n=21A023178
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 16 (most significant digit on right).at n=21A029509
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16.at n=6A031694
- Shifts left under the "BIK" (reversible, indistinct, unlabeled) transform with a(1) = 2.at n=7A032130
- Sort then Add, a(1)=7.at n=9A033895
- a(1)=1, a(n) = smallest odd number such that all sums of pairs of (not necessarily distinct) terms in the sequence are distinct.at n=32A034757
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=50A035590
- Numbers n such that string 4,3 occurs in the base 10 representation of n but not of n-1.at n=34A044375
- Numbers n such that string 4,3 occurs in the base 10 representation of n but not of n+1.at n=34A044756
- Numbers whose base-5 representation contains exactly three 0's and one 1.at n=29A045170
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=4A045201
- Numbers k such that x^k + x^8 + 1 is irreducible over GF(2).at n=8A057478
- a(n) = n * Sum_{d|n} d*2^(d-1).at n=6A074225
- Sum of the first n primes whose indices are primes.at n=20A083186