2007
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 2912
- Proper Divisor Sum (Aliquot Sum)
- 905
- 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
- 1332
- Möbius Function
- 0
- Radical
- 669
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- no
- Odd
- yes
Appears in sequences
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=43A003219
- Oscillates under partition transform.at n=33A007211
- Some permutation of digits is a factorial number.at n=30A007926
- Some nontrivial permutation of digits is a factorial number.at n=24A007927
- Coordination sequence T3 for Zeolite Code AET.at n=31A008009
- Coordination sequence T1 for Zeolite Code AFY.at n=37A008029
- Coordination sequence T1 for Zeolite Code APC.at n=31A008032
- Coordination sequence T4 for Zeolite Code MOR.at n=29A008185
- Coordination sequence T4 for Zeolite Code TON.at n=28A008244
- Coordination sequence T3 for Zeolite Code TER.at n=30A016435
- Coordination sequence T2 for Zeolite Code CGF.at n=31A019452
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=7.at n=13A022312
- Place where n-th 1 occurs in A023131.at n=37A022793
- Number of planted planar trees (n+1 nodes) where any 2 subtrees extending from the same node have a different number of nodes.at n=10A032009
- Numbers whose base-2 and base-10 expansions have the same digit sum.at n=37A037308
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 1.at n=42A038632
- Denominators of continued fraction convergents to sqrt(89).at n=6A041159
- Denominators of continued fraction convergents to sqrt(218).at n=7A041407
- Denominators of continued fraction convergents to sqrt(356).at n=10A041675
- Denominators of continued fraction convergents to sqrt(872).at n=7A042685