4174
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6264
- Proper Divisor Sum (Aliquot Sum)
- 2090
- 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
- 2086
- Möbius Function
- 1
- Radical
- 4174
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 113
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code EAB.at n=47A008082
- Coordination sequence T2 for Zeolite Code EUO.at n=40A008097
- Coordination sequence T4 for Zeolite Code STI.at n=44A008237
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=38A013645
- Coordination sequence T3 for Zeolite Code IFR.at n=45A024984
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 64.at n=5A031562
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=1A031828
- Decimal part of cube root of a(n) starts with 1: first term of runs.at n=14A034127
- Numerators of continued fraction convergents to sqrt(281).at n=6A041528
- Numbers having three 1's in base 8.at n=35A043427
- Numbers whose base-5 representation contains exactly three 1's and two 4's.at n=31A045261
- Triangle of number of permutations of [n] with 0 successions, by number of rises.at n=26A046740
- Numbers n such that 57*2^n-1 is prime.at n=23A050554
- Numbers k such that 80*R_k + 9 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=4A056663
- Positive numbers whose product of digits is 7 times their sum.at n=16A062384
- Engel expansion of Sum_{k>=0} 1/(10 + k)^k.at n=15A063193
- Positions of check bits in code in A075931.at n=42A075933
- Numbers k such that k^2+1 and (k+2)^2+1 are both prime; twin k^2+1 primes.at n=40A096012
- Bell(n-1) + Fibonacci(n).at n=9A100396
- a(n) is the minimal number of nodes in a binary tree of height n.at n=47A102379