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2,338

2,338 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.).
Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
8,332
Recamán's sequence
a(723) = 2,338
Square (n²)
5,466,244
Cube (n³)
12,780,078,472
Divisor count
8
σ(n) — sum of divisors
4,032
φ(n) — Euler's totient
996
Sum of prime factors
176

Primality

Prime factorization: 2 × 7 × 167

Nearest primes: 2,333 (−5) · 2,339 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 167 · 334 · 1169 (half) · 2338
Aliquot sum (sum of proper divisors): 1,694
Factor pairs (a × b = 2,338)
1 × 2338
2 × 1169
7 × 334
14 × 167
First multiples
2,338 · 4,676 (double) · 7,014 · 9,352 · 11,690 · 14,028 · 16,366 · 18,704 · 21,042 · 23,380

Sums & aliquot sequence

As consecutive integers: 583 + 584 + 585 + 586 331 + 332 + … + 337 70 + 71 + … + 97
Aliquot sequence: 2,338 1,694 1,498 1,094 550 566 286 218 112 136 134 70 74 40 50 43 1 — unresolved within range

Representations

In words
two thousand three hundred thirty-eight
Ordinal
2338th
Roman numeral
MMCCCXXXVIII
Binary
100100100010
Octal
4442
Hexadecimal
0x922
Base64
CSI=
One's complement
63,197 (16-bit)
In other bases
ternary (3) 10012121
quaternary (4) 210202
quinary (5) 33323
senary (6) 14454
septenary (7) 6550
nonary (9) 3177
undecimal (11) 1836
duodecimal (12) 142a
tridecimal (13) 10ab
tetradecimal (14) bd0
pentadecimal (15) a5d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βτληʹ
Mayan (base 20)
𝋥·𝋰·𝋲
Chinese
二千三百三十八
Chinese (financial)
貳仟參佰參拾捌
In other modern scripts
Eastern Arabic ٢٣٣٨ Devanagari २३३८ Bengali ২৩৩৮ Tamil ௨௩௩௮ Thai ๒๓๓๘ Tibetan ༢༣༣༨ Khmer ២៣៣៨ Lao ໒໓໓໘ Burmese ၂၃၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,338 = 7
e — Euler's number (e)
Digit 2,338 = 2
φ — Golden ratio (φ)
Digit 2,338 = 2
√2 — Pythagoras's (√2)
Digit 2,338 = 4
ln 2 — Natural log of 2
Digit 2,338 = 3
γ — Euler-Mascheroni (γ)
Digit 2,338 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2338, here are decompositions:

  • 5 + 2333 = 2338
  • 29 + 2309 = 2338
  • 41 + 2297 = 2338
  • 71 + 2267 = 2338
  • 101 + 2237 = 2338
  • 131 + 2207 = 2338
  • 197 + 2141 = 2338
  • 227 + 2111 = 2338

Showing the first eight; more decompositions exist.

Unicode codepoint
Devanagari Letter Ddha
U+0922
Other letter (Lo)

UTF-8 encoding: E0 A4 A2 (3 bytes).

Hex color
#000922
RGB(0, 9, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.34.

Address
0.0.9.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.34

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

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

Routing number
000002338
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.

Position in π

The digit sequence 2338 first appears in π at position 10,416 of the decimal expansion (the 10,416ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.