448
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
- 14
- Divisor Sum
- 1016
- Proper Divisor Sum (Aliquot Sum)
- 568
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 192
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 22
- 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
- vierhundertachtundvierzig· ordinal: vierhundertachtundvierzigste
- English
- four hundred forty-eight· ordinal: four hundred forty-eighth
- Spanish
- cuatrocientos cuarenta y ocho· ordinal: 448º
- French
- quatre cent quarante-huit· ordinal: quatre cent quarante-huitième
- Italian
- quattrocentoquarantotto· ordinal: 448º
- Latin
- quadringenti quadraginta octo· ordinal: 448.
- Portuguese
- quatrocentos e quarenta e oito· ordinal: 448º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=33A000009
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=39A000118
- Number of ways of writing n as a sum of 8 squares.at n=3A000143
- Generalized class numbers c_(n,1).at n=14A000233
- Number of triangular polyominoes (or triangular polyforms, or polyiamonds) with n cells (turning over is allowed, holes are allowed, must be connected along edges).at n=9A000577
- Number of degree-n odd permutations of order 2.at n=8A001465
- Numbers n such that every digit contains a loop (version 2).at n=33A001744
- a(n) = n*2^(n-1).at n=7A001787
- a(n) = 7*4^n.at n=3A002042
- Number of divisors of n-th highly composite number.at n=46A002183
- a(n) is the number of partitions of 4n that can be obtained by adding together four (not necessarily distinct) partitions of n.at n=5A002221
- Expansion of a modular function for Gamma_0(21).at n=12A002511
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=11A002624
- Number of 3-edge-colored trivalent graphs with 2n nodes.at n=5A002830
- Number of polyhedral graphs with n edges.at n=10A002840
- Smallest multiple of n whose digits sum to n.at n=16A002998
- Number of partitions of n into parts 5k+2 or 5k+3.at n=46A003106
- Numbers that are the sum of 7 positive 6th powers.at n=7A003363
- Numbers of form 2^i*7^j, with i, j >= 0.at n=20A003591
- Degrees of irreducible representations of symmetric group S_10.at n=34A003874