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Properties of the Number 78

Seventy-Eight

Basics

Value: 77 → 78 → 79

Parity: even

Prime: No

Previous Prime: 73

Next Prime: 79

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13

Divisors: 1, 2, 3, 6, 13, 26, 39, 78

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001110

Octal: 116

Duodecimal: 66

Hexadecimal: 4e

Square: 6084

Square Root: 8.831760866327848

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) = σ(n), the sum of the divisors of n. Also called sigma1(n). A203
Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217
Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117
Expansion of ∏k>=0 (1 + x2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700
Largest squarefree number dividing n: the squarefree kernel of n, rad(n), radical of n. A7947
The composite numbers: numbers n of the form x·y for x > 1 and y > 1. A2808
The nonnegative even numbers: a(n) = 2n. A5843
Coordination sequence T1 for Zeolite Code ABW and ATN. A8000
Sum of proper divisors (or aliquot parts) of n: sum of divisors of n that are less than n. A1065
The nonprime numbers: 1 together with the composite numbers, A002808. A18252

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