753
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
- 4
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 255
- 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
- 500
- Möbius Function
- 1
- Radical
- 753
- 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
- no
- Odd
- yes
Names
- German
- siebenhundertdreiundfünfzig· ordinal: siebenhundertdreiundfünfzigste
- English
- seven hundred fifty-three· ordinal: seven hundred fifty-third
- Spanish
- setecientos cincuenta y tres· ordinal: 753º
- French
- sept cent cinquante-trois· ordinal: sept cent cinquante-troisième
- Italian
- settecentocinquantatre· ordinal: 753º
- Latin
- septingenti quinquaginta tres· ordinal: 753.
- Portuguese
- setecentos e cinquenta e três· ordinal: 753º
Appears in sequences
- From a differential equation.at n=7A000998
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=46A001033
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = a(1) = 1.at n=13A001595
- a(n) = 3 * prime(n).at n=53A001748
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=28A002311
- Divisors of 2^50 - 1.at n=9A003554
- a(n) = floor((n^2 + 6n - 3)/4).at n=51A004116
- a(n) = floor(n*phi^6), phi = golden ratio, A001622.at n=42A004921
- Optimal cost of search tree for searching an ordered array of n elements with cost k of probing element k.at n=19A007077
- Number of non-Abelian metacyclic groups of order 2^n.at n=27A007982
- Coordination sequence T3 for Zeolite Code EPI.at n=17A008092
- Coordination sequence T6 for Zeolite Code MFS.at n=17A008178
- Coordination sequence T2 for Zeolite Code MTW.at n=18A008197
- Coordination sequence T3 for Zeolite Code MTW.at n=18A008198
- Molien series for A_6.at n=26A008629
- Coordination sequence T4 for Zeolite Code RTH.at n=19A009896
- Composite numbers that are equal to the sum of the first k composites for some k.at n=25A013921
- a(n) = n^2 + 3*n - 1.at n=26A014209
- a(n) = bcd, where n = C(b,3)+C(c,2)+C(d,1), b>c>d>=0.at n=47A014369
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=5A014569