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13,390

13,390 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.).

13,390 (thirteen thousand three hundred ninety) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 13 × 103. Written other ways, in hexadecimal, 0x344E.

Arithmetic Number Cube-Free Deficient Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
9,331
Recamán's sequence
a(47,495) = 13,390
Square (n²)
179,292,100
Cube (n³)
2,400,721,219,000
Divisor count
16
σ(n) — sum of divisors
26,208
φ(n) — Euler's totient
4,896
Sum of prime factors
123

Primality

Prime factorization: 2 × 5 × 13 × 103

Nearest primes: 13,381 (−9) · 13,397 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 13 · 26 · 65 · 103 · 130 · 206 · 515 · 1030 · 1339 · 2678 · 6695 (half) · 13390
Aliquot sum (sum of proper divisors): 12,818
Factor pairs (a × b = 13,390)
1 × 13390
2 × 6695
5 × 2678
10 × 1339
13 × 1030
26 × 515
65 × 206
103 × 130
First multiples
13,390 · 26,780 (double) · 40,170 · 53,560 · 66,950 · 80,340 · 93,730 · 107,120 · 120,510 · 133,900

Sums & aliquot sequence

As consecutive integers: 3,346 + 3,347 + 3,348 + 3,349 2,676 + 2,677 + 2,678 + 2,679 + 2,680 1,024 + 1,025 + … + 1,036 660 + 661 + … + 679
Aliquot sequence: 13,390 12,818 9,862 4,934 2,470 2,570 2,074 1,274 1,120 1,904 2,560 3,578 1,792 2,296 2,744 3,256 3,584 — unresolved within range

Continued fraction of √n

√13,390 = [115; (1, 2, 1, 1, 22, 1, 1, 2, 1, 230)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand three hundred ninety
Ordinal
13390th
Binary
11010001001110
Octal
32116
Hexadecimal
0x344E
Base64
NE4=
One's complement
52,145 (16-bit)
Scientific notation
1.339 × 10⁴
As a duration
13,390 s = 3 hours, 43 minutes, 10 seconds
In other bases
ternary (3) 200100221
quaternary (4) 3101032
quinary (5) 412030
senary (6) 141554
septenary (7) 54016
nonary (9) 20327
undecimal (11) a073
duodecimal (12) 78ba
tridecimal (13) 6130
tetradecimal (14) 4c46
pentadecimal (15) 3e7a

As an angle

13,390° = 37 × 360° + 70°
70° ≈ 1.222 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγτϟʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋪
Chinese
一萬三千三百九十
Chinese (financial)
壹萬參仟參佰玖拾
In other modern scripts
Eastern Arabic ١٣٣٩٠ Devanagari १३३९० Bengali ১৩৩৯০ Tamil ௧௩௩௯௦ Thai ๑๓๓๙๐ Tibetan ༡༣༣༩༠ Khmer ១៣៣៩០ Lao ໑໓໓໙໐ Burmese ၁၃၃၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,390 = 5
e — Euler's number (e)
Digit 13,390 = 8
φ — Golden ratio (φ)
Digit 13,390 = 4
√2 — Pythagoras's (√2)
Digit 13,390 = 4
ln 2 — Natural log of 2
Digit 13,390 = 0
γ — Euler-Mascheroni (γ)
Digit 13,390 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13390, here are decompositions:

  • 23 + 13367 = 13390
  • 53 + 13337 = 13390
  • 59 + 13331 = 13390
  • 131 + 13259 = 13390
  • 149 + 13241 = 13390
  • 173 + 13217 = 13390
  • 227 + 13163 = 13390
  • 239 + 13151 = 13390

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-344E
U+344E
Other letter (Lo)

UTF-8 encoding: E3 91 8E (3 bytes).

Hex color
#00344E
RGB(0, 52, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.78.

Address
0.0.52.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.78

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

Musical pitch

Heard as a frequency, 13,390 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +13¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -49¢ — about midway to G♯9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +14¢)
Position in π

The digit sequence 13390 first appears in π at position 1,985 of the decimal expansion (the 1,985ordinal-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.

Related reading