Properties of the Number 42880

Forty-Two Thousand Eight Hundred Eighty

Basics

Value: 42879 → 42880 → 42881

Parity: even

Prime: No

Previous Prime: 42863

Next Prime: 42899

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 5 × 67

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011110000000

Octal: 123600

Duodecimal: 20994

Hexadecimal: a780

Square: 1838694400

Square Root: 207.07486568871656

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

a(n) = n³ + 5. A84381

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern up, down, up, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-3)/2)), read by rows. A230797

a(n) = (4·4ⁿ + (-6)ⁿ)/5. A83297

a(n) = n*(105·n³ - 210·n² + 147·n - 34). A272357

Numbers k such that A224787(k) - k is a square. A385238

Number of permutations of [n] with exactly two (possibly overlapping) occurrences of the consecutive step pattern up, down, up, down. A264077

a(n) is the first number k with n prime divisors such that, if m is the next number with n prime divisors, k + m and k - m also have n prime divisors. In each case the divisors are counted with multiplicity. A365834

tan(arctanh(x)+arctan(x))=2·x+16/3!*x³+560/5!*x⁵+42880/7!*x⁷... A13177

Numerators of continued fraction convergents to sqrt(972). A42880

Number of (n+1)X5 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero. A204736