807
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1080
- Proper Divisor Sum (Aliquot Sum)
- 273
- 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
- 536
- Möbius Function
- 1
- Radical
- 807
- 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
- 72
- Smith 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
Names
- German
- achthundertsieben· ordinal: achthundertsiebenste
- English
- eight hundred seven· ordinal: eight hundred seventh
- Spanish
- ochocientos siete· ordinal: 807º
- French
- huit cent sept· ordinal: huit cent septième
- Italian
- ottocentosette· ordinal: 807º
- Latin
- octingenti septem· ordinal: 807.
- Portuguese
- oitocentos e sete· ordinal: 807º
Appears in sequences
- Numbers beginning with letter 'e' in English.at n=20A000873
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=31A000960
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=37A001682
- Low temperature series for spin-1/2 Ising partition function on 3-dimensional simple cubic lattice.at n=11A002891
- Divisible only by primes congruent to 3 mod 7.at n=47A004621
- Positions of remoteness 4 in Beans-Don't-Talk.at n=14A005696
- Number of fractions in Farey series of order n.at n=51A005728
- Number of connected vertex-transitive graphs with n nodes.at n=21A006800
- Number of strict n-node animals on b.c.c. lattice.at n=4A007195
- Coordination sequence T10 for Zeolite Code MFI.at n=18A008162
- Coordination sequence T2 for Banalsite.at n=17A008250
- Molien series for A_10.at n=22A008633
- Number of partitions of n into at most 10 parts.at n=22A008639
- "Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=20A009540
- Continued fraction for cube root of 42.at n=29A010271
- Numbers k such that phi(k) | sigma_11(k).at n=37A015769
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=27A017835
- Numbers k such that the continued fraction for sqrt(k) has period 14.at n=38A020353
- n written in fractional base 10/4.at n=57A024659
- Antisigma(n): Sum of the numbers less than n that do not divide n.at n=41A024816