752
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
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 1488
- Proper Divisor Sum (Aliquot Sum)
- 736
- 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
- 368
- Möbius Function
- 0
- Radical
- 94
- Omega Function (Ω)
- 5
- 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
- 108
- 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
- siebenhundertzweiundfünfzig· ordinal: siebenhundertzweiundfünfzigste
- English
- seven hundred fifty-two· ordinal: seven hundred fifty-second
- Spanish
- setecientos cincuenta y dos· ordinal: 752º
- French
- sept cent cinquante-deux· ordinal: sept cent cinquante-deuxième
- Italian
- settecentocinquantadue· ordinal: 752º
- Latin
- septingenti quinquaginta duo· ordinal: 752.
- Portuguese
- setecentos e cinquenta e dois· ordinal: 752º
Appears in sequences
- Number of partitions of n if there are two kinds of 1, two kinds of 2 and two kinds of 3.at n=12A000098
- Number of ways of writing n as a sum of 5 squares.at n=20A000132
- Generating function = Product_{m>=1} 1/(1 - x^m)^2; a(n) = number of partitions of n into parts of 2 kinds.at n=11A000712
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=31A001859
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=24A002643
- The square sieve.at n=48A002960
- Primes written backwards.at n=54A004087
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=16A004943
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=16A004963
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=30A005232
- Weighted count of partitions with odd parts.at n=26A005896
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=5A005903
- Theta series of D_5 lattice.at n=10A005930
- Inverse Moebius transform of triangular numbers.at n=33A007437
- Expansion of (1+x^2)/((1-x)^2*(1-x^3)).at n=46A007980
- Coordination sequence T2 for Zeolite Code AFO.at n=18A008016
- Coordination sequence T1 for Zeolite Code APC.at n=19A008032
- Coordination sequence T1 for Zeolite Code CHA.at n=21A008066
- Coordination sequence T1 for Zeolite Code LIO.at n=19A008129
- Coordination sequence T2 for Zeolite Code MEI.at n=20A008147