Live analysis

42,084

42,084 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

Abundant Number Happy Number Harshad / Niven

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digital root: 9
Palindrome: No
Divisor count: 36
σ(n) — sum of divisors: 122,304

Primality

Prime factorization: 2 ² × 3 ² × 7 × 167

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 167 · 252 · 334 · 501 · 668 · 1002 · 1169 · 1503 · 2004 · 2338 · 3006 · 3507 · 4676 · 6012 · 7014 · 10521 · 14028 · 21042 · 42084

Aliquot sum (sum of proper divisors): 80,220

Factor pairs (a × b = 42,084)

1 × 42084

2 × 21042

3 × 14028

4 × 10521

6 × 7014

7 × 6012

9 × 4676

12 × 3507

14 × 3006

18 × 2338

21 × 2004

28 × 1503

36 × 1169

42 × 1002

63 × 668

84 × 501

126 × 334

167 × 252

First multiples

42,084 · 84,168 · 126,252 · 168,336 · 210,420 · 252,504 · 294,588 · 336,672 · 378,756 · 420,840

Representations

In words: forty-two thousand eighty-four
Ordinal: 42084th
Binary: 1010010001100100
Octal: 122144
Hexadecimal: A464

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42084, here are decompositions:

11 + 42073 = 42084
13 + 42071 = 42084
23 + 42061 = 42084
41 + 42043 = 42084
61 + 42023 = 42084
67 + 42017 = 42084
71 + 42013 = 42084
101 + 41983 = 42084

Showing the first eight; more decompositions exist.

Unicode codepoint

ꑤ

U+A464

Other letter (Lo)

UTF-8 encoding: EA 91 A4 (3 bytes).

Lookup U+A464 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A464

RGB(0, 164, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.100.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000042084

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up 000042084 on FedACH ↗ Routing Number Lookup (Wise) ↗