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10,404

10,404 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.).
Abundant Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
40,401
Recamán's sequence
a(50,711) = 10,404
Square (n²)
108,243,216
Cube (n³)
1,126,162,419,264
Square root (√n)
102
Divisor count
27
σ(n) — sum of divisors
27,937
φ(n) — Euler's totient
3,264
Sum of prime factors
44

Primality

Prime factorization: 2 2 × 3 2 × 17 2

Nearest primes: 10,399 (−5) · 10,427 (+23)

Divisors & multiples

All divisors (27)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 34 · 36 · 51 · 68 · 102 · 153 · 204 · 289 · 306 · 578 · 612 · 867 · 1156 · 1734 · 2601 · 3468 · 5202 (half) · 10404
Aliquot sum (sum of proper divisors): 17,533
Factor pairs (a × b = 10,404)
1 × 10404
2 × 5202
3 × 3468
4 × 2601
6 × 1734
9 × 1156
12 × 867
17 × 612
18 × 578
34 × 306
36 × 289
51 × 204
68 × 153
102 × 102
First multiples
10,404 · 20,808 (double) · 31,212 · 41,616 · 52,020 · 62,424 · 72,828 · 83,232 · 93,636 · 104,040

Sums & aliquot sequence

As a sum of two squares: 0² + 102² = 48² + 90²
As consecutive integers: 3,467 + 3,468 + 3,469 1,297 + 1,298 + … + 1,304 1,152 + 1,153 + … + 1,160 604 + 605 + … + 620
Aliquot sequence: 10,404 17,533 287 49 8 7 1 0 — terminates at zero

Representations

In words
ten thousand four hundred four
Ordinal
10404th
Binary
10100010100100
Octal
24244
Hexadecimal
0x28A4
Base64
KKQ=
One's complement
55,131 (16-bit)
In other bases
ternary (3) 112021100
quaternary (4) 2202210
quinary (5) 313104
senary (6) 120100
septenary (7) 42222
nonary (9) 15240
undecimal (11) 78a9
duodecimal (12) 6030
tridecimal (13) 4974
tetradecimal (14) 3b12
pentadecimal (15) 3139

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιυδʹ
Mayan (base 20)
𝋡·𝋦·𝋠·𝋤
Chinese
一萬零四百零四
Chinese (financial)
壹萬零肆佰零肆
In other modern scripts
Eastern Arabic ١٠٤٠٤ Devanagari १०४०४ Bengali ১০৪০৪ Tamil ௧௦௪௦௪ Thai ๑๐๔๐๔ Tibetan ༡༠༤༠༤ Khmer ១០៤០៤ Lao ໑໐໔໐໔ Burmese ၁၀၄၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,404 = 6
e — Euler's number (e)
Digit 10,404 = 8
φ — Golden ratio (φ)
Digit 10,404 = 3
√2 — Pythagoras's (√2)
Digit 10,404 = 3
ln 2 — Natural log of 2
Digit 10,404 = 2
γ — Euler-Mascheroni (γ)
Digit 10,404 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10404, here are decompositions:

  • 5 + 10399 = 10404
  • 13 + 10391 = 10404
  • 47 + 10357 = 10404
  • 61 + 10343 = 10404
  • 67 + 10337 = 10404
  • 71 + 10333 = 10404
  • 73 + 10331 = 10404
  • 83 + 10321 = 10404

Showing the first eight; more decompositions exist.

Unicode codepoint
Braille Pattern Dots-368
U+28A4
Other symbol (So)

UTF-8 encoding: E2 A2 A4 (3 bytes).

Hex color
#0028A4
RGB(0, 40, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.164.

Address
0.0.40.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.164

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

Position in π

The digit sequence 10404 first appears in π at position 1,270 of the decimal expansion (the 1,270ordinal-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.