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20,404

20,404 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.).
Deficient Number Odious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
40,402
Recamán's sequence
a(86,408) = 20,404
Square (n²)
416,323,216
Cube (n³)
8,494,658,899,264
Divisor count
6
σ(n) — sum of divisors
35,714
φ(n) — Euler's totient
10,200
Sum of prime factors
5,105

Primality

Prime factorization: 2 2 × 5101

Nearest primes: 20,399 (−5) · 20,407 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 5101 · 10202 (half) · 20404
Aliquot sum (sum of proper divisors): 15,310
Factor pairs (a × b = 20,404)
1 × 20404
2 × 10202
4 × 5101
First multiples
20,404 · 40,808 (double) · 61,212 · 81,616 · 102,020 · 122,424 · 142,828 · 163,232 · 183,636 · 204,040

Sums & aliquot sequence

As a sum of two squares: 100² + 102²
As consecutive integers: 2,547 + 2,548 + … + 2,554
Aliquot sequence: 20,404 15,310 12,266 6,136 6,464 6,490 6,470 5,194 4,040 5,140 5,696 5,734 3,194 1,600 2,337 1,023 513 — unresolved within range

Representations

In words
twenty thousand four hundred four
Ordinal
20404th
Binary
100111110110100
Octal
47664
Hexadecimal
0x4FB4
Base64
T7Q=
One's complement
45,131 (16-bit)
In other bases
ternary (3) 1000222201
quaternary (4) 10332310
quinary (5) 1123104
senary (6) 234244
septenary (7) 113326
nonary (9) 30881
undecimal (11) 1436a
duodecimal (12) b984
tridecimal (13) 9397
tetradecimal (14) 7616
pentadecimal (15) 60a4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κυδʹ
Mayan (base 20)
𝋢·𝋫·𝋠·𝋤
Chinese
二萬零四百零四
Chinese (financial)
貳萬零肆佰零肆
In other modern scripts
Eastern Arabic ٢٠٤٠٤ Devanagari २०४०४ Bengali ২০৪০৪ Tamil ௨௦௪௦௪ Thai ๒๐๔๐๔ Tibetan ༢༠༤༠༤ Khmer ២០៤០៤ Lao ໒໐໔໐໔ Burmese ၂၀၄၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,404 = 0
e — Euler's number (e)
Digit 20,404 = 0
φ — Golden ratio (φ)
Digit 20,404 = 1
√2 — Pythagoras's (√2)
Digit 20,404 = 9
ln 2 — Natural log of 2
Digit 20,404 = 5
γ — Euler-Mascheroni (γ)
Digit 20,404 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20404, here are decompositions:

  • 5 + 20399 = 20404
  • 11 + 20393 = 20404
  • 47 + 20357 = 20404
  • 71 + 20333 = 20404
  • 107 + 20297 = 20404
  • 173 + 20231 = 20404
  • 227 + 20177 = 20404
  • 257 + 20147 = 20404

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4Fb4
U+4FB4
Other letter (Lo)

UTF-8 encoding: E4 BE B4 (3 bytes).

Hex color
#004FB4
RGB(0, 79, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.180.

Address
0.0.79.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.79.180

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
000020404
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 20404 first appears in π at position 158,898 of the decimal expansion (the 158,898ordinal-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.