734
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1104
- Proper Divisor Sum (Aliquot Sum)
- 370
- 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
- 366
- Möbius Function
- 1
- Radical
- 734
- 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
- 46
- 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
- siebenhundertvierunddreißig· ordinal: siebenhundertvierunddreißigste
- English
- seven hundred thirty-four· ordinal: seven hundred thirty-fourth
- Spanish
- setecientos treinta y cuatro· ordinal: 734º
- French
- sept cent trente-quatre· ordinal: sept cent trente-quatrième
- Italian
- settecentotrentaquattro· ordinal: 734º
- Latin
- septingenti triginta quattuor· ordinal: 734.
- Portuguese
- setecentos e trinta e quatro· ordinal: 734º
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=27A000223
- EULER transform of 3, 2, 2, 2, 2, 2, 2, 2, ...at n=9A000713
- Number of partitions of floor(7n/2) into n nonnegative integers each no more than 7.at n=10A001979
- Number of partitions of floor(7n/2)-1 into n nonnegative integers each no greater than 7.at n=10A001980
- Number of 3 X n binary matrices up to row and column permutations.at n=7A002727
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=57A002984
- Numbers that are the sum of 8 positive 5th powers.at n=24A003353
- Numbers that are the sum of 6 positive 6th powers.at n=7A003362
- Number of rooted trees with n nodes and 2-colored non-leaf nodes.at n=6A004113
- Numbers that are the sum of at most 6 nonzero 6th powers.at n=33A004857
- Numbers that are the sum of at most 7 nonzero 6th powers.at n=41A004858
- Restricted postage stamp problem with n denominations and 2 stamps.at n=46A006638
- Coordination sequence T4 for Zeolite Code DDR.at n=17A008074
- Coordination sequence T2 for Zeolite Code LEV.at n=20A008128
- Coordination sequence T1 for Zeolite Code LTN.at n=19A008140
- Coordination sequence T2 for Zeolite Code LTN.at n=19A008141
- Coordination sequence T6 for Zeolite Code MTT.at n=17A008194
- If a, b in sequence, so is a*b+2.at n=28A009299
- Shifts 5 places right under binomial transform.at n=8A010744
- Shifts 5 places left under inverse binomial transform.at n=13A010745