Properties of the Number 42955

Forty-Two Thousand Nine Hundred Fifty-Five

Basics

Value: 42954 → 42955 → 42956

Parity: odd

Prime: No

Previous Prime: 42953

Next Prime: 42961

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 11 ² × 71

Divisors: 1, 5, 11, 55, 71, 121, 355, 605, 781, 3905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011111001011

Octal: 123713

Duodecimal: 20A37

Hexadecimal: a7cb

Square: 1845132025

Square Root: 207.25588049558448

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 partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible). A1977

Arithmetic derivatives of the sums of three primorials > 1. A370138

Imbalance of the sum of parts of all partitions of n. A194797

Number of pairs (λ,μ) of partitions λ of n and μ of ceiling(n/2) with μ <= λ (by diagram containment). A303852

Number of pairs (λ,μ) of partitions λ of 2n+1 and μ of n+1 with μ <= λ (by diagram containment). A303863

Odd numbers k > 1 such that A309906(k-1) < A309906(k) > A309906(k+1) < A309906(k+2) > A309906(k+3). A349938

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

Number of nondecreasing arrangements of 6 numbers in -(n+4)..(n+4) with sum zero. A188213

Numbers k that divide s(k), where s(1)=1, s(j)=5·s(j-1)+j. A14852

The sequence e when b=[ 1,1,0,1,1,... ]. A42955