3004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5264
- Proper Divisor Sum (Aliquot Sum)
- 2260
- 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
- 1500
- Möbius Function
- 0
- Radical
- 1502
- Omega Function (Ω)
- 3
- 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
- 141
- 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
- Coordination sequence T1 for Zeolite Code ATV.at n=35A008043
- Coordination sequence T2 for Zeolite Code LAU.at n=39A008125
- Coordination sequence T1 for Moganite.at n=35A008258
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=33A013645
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=36A023175
- Convolution of natural numbers >= 2 and Lucas numbers.at n=11A023549
- n written in fractional base 6/3.at n=28A024636
- Number of partitions of n into distinct parts, the least being even.at n=58A026833
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=0A031818
- Trajectory of 3 under map n->13n+1 if n odd, n->n/2 if n even.at n=23A037104
- Coordination sequence T16 for Zeolite Code STT.at n=36A038425
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n-1.at n=31A044336
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n+1.at n=31A044717
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=3A045213
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=10A045614
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=25A047825
- Smallest palindrome greater than n in bases n and n+1.at n=36A048268
- Expansion of 1/((1-x)^5 - x^5).at n=10A049016
- Expansion of (1-x)/((1-2x)(1+x-x^2)).at n=13A052964
- Numbers k such that the base-3 expansions of 2^k and 2^(k+1) have the same number of 1's and the same number of digits.at n=40A056735