736
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1512
- Proper Divisor Sum (Aliquot Sum)
- 776
- 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
- 352
- Möbius Function
- 0
- Radical
- 46
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- 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
- siebenhundertsechsunddreißig· ordinal: siebenhundertsechsunddreißigste
- English
- seven hundred thirty-six· ordinal: seven hundred thirty-sixth
- Spanish
- setecientos treinta y seis· ordinal: 736º
- French
- sept cent trente-six· ordinal: sept cent trente-sixième
- Italian
- settecentotrentasei· ordinal: 736º
- Latin
- septingenti triginta sex· ordinal: 736.
- Portuguese
- setecentos e trinta e seis· ordinal: 736º
Appears in sequences
- a(n) = floor(n^2/3).at n=47A000212
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=16A000567
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=30A000603
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=31A001082
- a(n) = (11*n+1)*(11*n+10).at n=2A001536
- Absolute value of Glaisher's alpha(n).at n=15A002290
- Susceptibility series for diamond.at n=3A002923
- Numbers that are the sum of 10 positive 5th powers.at n=29A003355
- Numbers that are the sum of 8 positive 6th powers.at n=9A003364
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=23A003402
- Coefficients of Jacobi cusp form of index 1 and weight 12.at n=9A003785
- Numbers that are a sum of distinct positive cubes in more than one way.at n=11A003998
- Number of Tuscan squares of order n.at n=4A004078
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=41A004941
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.at n=41A004961
- Number of Boolean functions of n variables that are variously called "unate cascades" or "1-decision list functions" or "read-once threshold functions".at n=3A005612
- Number of partitions of 4*n into powers of 4.at n=55A005705
- Number of n-covers of an unlabeled 5-set.at n=3A005771
- Number of 4-covers of an unlabeled n-set.at n=5A005784
- Numbers k such that k^16 + 1 is prime.at n=33A006313