3007
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3136
- Proper Divisor Sum (Aliquot Sum)
- 129
- 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
- 2880
- Möbius Function
- 1
- Radical
- 3007
- 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
- 154
- 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
- Number of strict 5th-order maximal independent sets in path graph.at n=45A007385
- Coordination sequence T1 for Zeolite Code LAU.at n=39A008124
- Coordination sequence T1 for Zeolite Code LIO.at n=38A008129
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=26A015631
- Pseudoprimes to base 36.at n=25A020164
- Pseudoprimes to base 61.at n=31A020189
- Pseudoprimes to base 98.at n=27A020226
- Strong pseudoprimes to base 98.at n=9A020324
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=20A022767
- Coordination sequence T5 for Zeolite Code MWW.at n=36A024990
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=28A025064
- Numbers whose base-4 representation has 4 fewer 0's than 3's.at n=24A031469
- 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 53.at n=18A031551
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=4A031902
- Numbers whose set of base-9 digits is {1,4}.at n=22A032821
- Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions such that the differences between parts at distance 2 are greater than 1.at n=41A035939
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) < cn(3,5) = cn(4,5).at n=70A036851
- Numbers whose base-2 and base-10 expansions have the same digit sum.at n=45A037308
- Numbers whose base-3 and base-4 expansions have no digits in common.at n=12A037345
- Sums of 10 distinct powers of 2.at n=14A038461