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21,038

21,038 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 Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
83,012
Recamán's sequence
a(41,763) = 21,038
Square (n²)
442,597,444
Cube (n³)
9,311,365,026,872
Divisor count
8
σ(n) — sum of divisors
32,232
φ(n) — Euler's totient
10,296
Sum of prime factors
226

Primality

Prime factorization: 2 × 67 × 157

Nearest primes: 21,031 (−7) · 21,059 (+21)

Divisors & multiples

All divisors (8)
1 · 2 · 67 · 134 · 157 · 314 · 10519 (half) · 21038
Aliquot sum (sum of proper divisors): 11,194
Factor pairs (a × b = 21,038)
1 × 21038
2 × 10519
67 × 314
134 × 157
First multiples
21,038 · 42,076 (double) · 63,114 · 84,152 · 105,190 · 126,228 · 147,266 · 168,304 · 189,342 · 210,380

Sums & aliquot sequence

As consecutive integers: 5,258 + 5,259 + 5,260 + 5,261 281 + 282 + … + 347 56 + 57 + … + 212
Aliquot sequence: 21,038 11,194 6,266 3,898 1,952 1,954 980 1,414 1,034 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
twenty-one thousand thirty-eight
Ordinal
21038th
Binary
101001000101110
Octal
51056
Hexadecimal
0x522E
Base64
Ui4=
One's complement
44,497 (16-bit)
In other bases
ternary (3) 1001212012
quaternary (4) 11020232
quinary (5) 1133123
senary (6) 241222
septenary (7) 115223
nonary (9) 31765
undecimal (11) 14896
duodecimal (12) 10212
tridecimal (13) 9764
tetradecimal (14) 794a
pentadecimal (15) 6378

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καληʹ
Mayan (base 20)
𝋢·𝋬·𝋫·𝋲
Chinese
二萬一千零三十八
Chinese (financial)
貳萬壹仟零參拾捌
In other modern scripts
Eastern Arabic ٢١٠٣٨ Devanagari २१०३८ Bengali ২১০৩৮ Tamil ௨௧௦௩௮ Thai ๒๑๐๓๘ Tibetan ༢༡༠༣༨ Khmer ២១០៣៨ Lao ໒໑໐໓໘ Burmese ၂၁၀၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,038 = 6
e — Euler's number (e)
Digit 21,038 = 7
φ — Golden ratio (φ)
Digit 21,038 = 9
√2 — Pythagoras's (√2)
Digit 21,038 = 5
ln 2 — Natural log of 2
Digit 21,038 = 0
γ — Euler-Mascheroni (γ)
Digit 21,038 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21038, here are decompositions:

  • 7 + 21031 = 21038
  • 19 + 21019 = 21038
  • 37 + 21001 = 21038
  • 79 + 20959 = 21038
  • 109 + 20929 = 21038
  • 139 + 20899 = 21038
  • 151 + 20887 = 21038
  • 181 + 20857 = 21038

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-522E
U+522E
Other letter (Lo)

UTF-8 encoding: E5 88 AE (3 bytes).

Hex color
#00522E
RGB(0, 82, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.46.

Address
0.0.82.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.46

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

Position in π

The digit sequence 21038 first appears in π at position 155,288 of the decimal expansion (the 155,288ordinal-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.