744
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1920
- Proper Divisor Sum (Aliquot Sum)
- 1176
- 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
- 240
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 5
- 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
- 20
- 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
- siebenhundertvierundvierzig· ordinal: siebenhundertvierundvierzigste
- English
- seven hundred forty-four· ordinal: seven hundred forty-fourth
- Spanish
- setecientos cuarenta y cuatro· ordinal: 744º
- French
- sept cent quarante-quatre· ordinal: sept cent quarante-quatrième
- Italian
- settecentoquarantaquattro· ordinal: 744º
- Latin
- septingenti quadraginta quattuor· ordinal: 744.
- Portuguese
- setecentos e quarenta e quatro· ordinal: 744º
Appears in sequences
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=50A000118
- Coefficients of modular function j as power series in q = e^(2 Pi i t). Another name is the elliptic modular invariant J(tau).at n=1A000521
- Number of partitions of n into prime parts.at n=49A000607
- Number of compositions of n into 3 ordered relatively prime parts.at n=47A000741
- Self-convolution of Fibonacci numbers.at n=12A001629
- Squares written in base 8.at n=21A002441
- Number of simple perfect squared rectangles of order n up to symmetry.at n=13A002839
- Numbers that are the sum of 12 positive 5th powers.at n=34A003357
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=50A004011
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=25A004011
- Consider a 2-D cellular automaton generated by the Schrandt-Ulam rule of A170896, but confined to a semi-infinite strip of width n, starting with one ON cell at the top left corner; a(n) is the period of the resulting structure.at n=44A006447
- a(n) = Sum_{k=1..n-1} (k OR n-k).at n=27A006583
- Numbers k such that phi(x) = k has exactly 3 solutions.at n=30A007367
- Sum of divisors of superabundant numbers (A004394).at n=11A007626
- From Engel product expansion of 4/7.at n=12A007768
- Number of nonsplit type 2 metacyclic 2-groups of order 2^n.at n=39A007981
- Coordination sequence T3 for Zeolite Code AFS and BPH.at n=21A008025
- Coordination sequence T3 for Zeolite Code MEP.at n=16A008159
- Coordination sequence T7 for Zeolite Code MFS.at n=17A008179
- Coordination sequence T1 for Zeolite Code TON.at n=17A008241