16807
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19608
- Proper Divisor Sum (Aliquot Sum)
- 2801
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14406
- Möbius Function
- 0
- Radical
- 7
- Omega Function (Ω)
- 5
- 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
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of trees on n labeled nodes: n^(n-2) with a(0)=1.at n=7A000272
- Powers of 7: a(n) = 7^n.at n=5A000420
- Fifth powers: a(n) = n^5.at n=7A000584
- Numbers of form 2^i*7^j, with i, j >= 0.at n=45A003591
- Numbers of the form 3^i*7^j with i, j >= 0.at n=29A003594
- Numbers of the form 5^i*7^j with i, j >= 0.at n=21A003595
- Numbers of the form 7^i*11^j.at n=15A003599
- Numbers that are the sum of at most 2 positive 5th powers.at n=28A004842
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=35A008382
- a(n) = floor(n/2)^floor(n/3).at n=13A010765
- Triangle of coefficients in expansion of (1+7x)^n.at n=20A013614
- Triangle of coefficients in expansion of (2 + 7*x)^n.at n=20A013623
- Triangle of coefficients in expansion of (3+7x)^n.at n=20A013624
- Triangle of coefficients in expansion of (4+7x)^n.at n=20A013625
- Triangle of coefficients in expansion of (5+7x)^n.at n=20A013626
- Triangle of coefficients in expansion of (6+7x)^n.at n=20A013627
- a(n) = 7^(2*n + 1).at n=2A013712
- a(n) = 7^(3*n + 2).at n=1A013741
- a(n) = 7^(4*n + 1).at n=1A013786
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=43A014865