Properties of the Number 4119

Four Thousand One Hundred Nineteen

Basics

Value: 4118 → 4119 → 4120

Parity: odd

Prime: No

Previous Prime: 4111

Next Prime: 4127

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 1373

Divisors: 1, 3, 1373, 4119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000010111

Octal: 10027

Duodecimal: 2473

Hexadecimal: 1017

Square: 16966161

Square Root: 64.17943595888016

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n whose distinct parts are pairwise indivisible. A305148

Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336

Number of primes in the interval [prime(n), prime(n)²]. A54272

Number T(n,k) of self-inverse permutations p on [n] where the maximal displacement of an element equals k: k = max_i=1..n |p(i)-i|; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A238889

Sum of the sizes of the Durfee squares of all no-leg partitions of n (or of all no-arm partitions of n). A268188

Numbers k such that the k-th maximal antirun of prime numbers > 3 has length different from all prior maximal antiruns. Sorted list of positions of first appearances in A027833. A373402

Numbers k such that k·prime(k) is a palindrome. A84122

a(n) = 2*(3ⁿ - 2ⁿ) + 1. A2783

Row 4 of table A162430. A162433

Numbers 1 through 10000 sorted lexicographically in octal representation (base 8). A190130