3541
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3542
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3540
- Möbius Function
- -1
- Radical
- 3541
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 118
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 496
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=34A001126
- Irregular table read by rows: row n lists prime factors of 10^n + 1, with multiplicity.at n=22A001271
- Primes of form k^2 + k + 1.at n=20A002383
- Smallest number with reciprocal of period length n in decimal (base 10).at n=20A003060
- Primes of form (p^x - 1)/(p^y - 1), p prime.at n=14A003424
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=11A004927
- Smallest primitive factor of 10^n - 1. Also smallest prime p such that 1/p has repeating decimal expansion of period n.at n=19A007138
- a(n) = prime(n*(n+1)/2).at n=30A011756
- Numbers k such that the continued fraction for sqrt(k) has period 73.at n=0A020412
- Prime numbers that are the sum of the divisors of some n.at n=9A023195
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=14A023282
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=15A025095
- Divisors of 10^10 + 1.at n=2A027900
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=28A031417
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=12A031800
- Concatenation of n and n + 6 or {n,n+6}.at n=34A032611
- Primes that are concatenations of k with k + 6.at n=6A032629
- Primes of form x^2+95*y^2.at n=24A033206
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) = cn(4,5)).at n=45A036818
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=13A045131