726
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1596
- Proper Divisor Sum (Aliquot Sum)
- 870
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 220
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 46
- Smith 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
Names
- German
- siebenhundertsechsundzwanzig· ordinal: siebenhundertsechsundzwanzigste
- English
- seven hundred twenty-six· ordinal: seven hundred twenty-sixth
- Spanish
- setecientos veintiséis· ordinal: 726º
- French
- sept cent vingt-six· ordinal: sept cent vingt-sixième
- Italian
- settecentoventisei· ordinal: 726º
- Latin
- septingenti viginti sex· ordinal: 726.
- Portuguese
- setecentos e vinte e seis· ordinal: 726º
Appears in sequences
- a(n) = 2*Catalan(n) - Catalan(n-1).at n=6A000782
- a(n) = n + n*(n-1)*(n-2)*(n-3)*(n-4).at n=6A001095
- a(n) = n + n*(n-1)*(n-2)*(n-3)*(n-4)*(n-5).at n=6A001096
- a(n) is the solution to the postage stamp problem with n denominations and 5 stamps.at n=8A001215
- Number of n-step self-avoiding walks on cubic lattice.at n=4A001412
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=11A002411
- a(n) = n^3 - floor( n/3 ).at n=9A002901
- High temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.at n=4A002913
- Losing initial positions in game: two players alternate in removing >= 1 stones; last player wins; first player may not remove all stones; each move <= 3 times previous move.at n=19A003411
- Inverse Möbius transform of A003961; a(n) = sigma(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.at n=47A003973
- Reverse digits of number of partitions of n.at n=20A004089
- a(n) = floor((n^2 + 6n - 3)/4).at n=50A004116
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=25A004942
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=25A004962
- a(n) = n! + n.at n=6A005095
- Column of Motzkin triangle A026300.at n=5A005324
- Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.at n=12A005508
- 1 + (sum of first n odd primes - n)/2.at n=28A005521
- Numbers n such that n^32 + 1 is prime.at n=18A006315
- Numbers n such that n! has a square number of digits.at n=22A006488