746
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1122
- Proper Divisor Sum (Aliquot Sum)
- 376
- 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
- 372
- Möbius Function
- 1
- Radical
- 746
- 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
- 20
- 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
- yes
- Odd
- no
Names
- German
- siebenhundertsechsundvierzig· ordinal: siebenhundertsechsundvierzigste
- English
- seven hundred forty-six· ordinal: seven hundred forty-sixth
- Spanish
- setecientos cuarenta y seis· ordinal: 746º
- French
- sept cent quarante-six· ordinal: sept cent quarante-sixième
- Italian
- settecentoquarantasei· ordinal: 746º
- Latin
- septingenti quadraginta sex· ordinal: 746.
- Portuguese
- setecentos e quarenta e seis· ordinal: 746º
Appears in sequences
- Partial sums of A001037, omitting A001037(1).at n=11A001036
- Generalized sum of divisors function.at n=25A002130
- Number of protruded partitions of n with largest part at most 2.at n=11A005403
- Coordination sequence T3 for Zeolite Code AEL.at n=18A008006
- Coordination sequence T5 for Zeolite Code DDR.at n=17A008075
- Coordination sequence T4 for Zeolite Code MTW.at n=18A008199
- Coordination sequence T4 for Zeolite Code PAU.at n=20A008222
- Coordination sequence T1 for Zeolite Code RUT.at n=18A009897
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).at n=13A011933
- Number of 3's in partitions of n into distinct parts.at n=43A015737
- Number of partitions of n into distinct parts, none being 3.at n=41A015745
- Numbers k such that phi(k) | sigma(k + 6).at n=44A015844
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10).at n=34A017841
- Number of subsets of {1,...,n} containing an arithmetic progression of length 3.at n=10A018788
- From George Gilbert's marks problem: jumping 7 marks at a time (initial positions).at n=17A019997
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=5A020352
- Fibonacci sequence beginning 8, 17.at n=9A022390
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023532.at n=8A024314
- n written in fractional base 10/7.at n=26A024662
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023533, t = A000040.at n=49A024694