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14,196

14,196 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.).

14,196 (fourteen thousand one hundred ninety-six) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 7 × 13². Its proper divisors sum to 26,796, more than the number itself, making it an abundant number. It is the 168th triangular number. Written other ways, in hexadecimal, 0x3774.

Abundant Number Cube-Free Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number Triangular

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
216
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
69,141
Recamán's sequence
a(20,324) = 14,196
Square (n²)
201,526,416
Cube (n³)
2,860,869,001,536
Divisor count
36
σ(n) — sum of divisors
40,992
φ(n) — Euler's totient
3,744
Sum of prime factors
40

Primality

Prime factorization: 2 2 × 3 × 7 × 13 2

Nearest primes: 14,177 (−19) · 14,197 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 39 · 42 · 52 · 78 · 84 · 91 · 156 · 169 · 182 · 273 · 338 · 364 · 507 · 546 · 676 · 1014 · 1092 · 1183 · 2028 · 2366 · 3549 · 4732 · 7098 (half) · 14196
Aliquot sum (sum of proper divisors): 26,796
Factor pairs (a × b = 14,196)
1 × 14196
2 × 7098
3 × 4732
4 × 3549
6 × 2366
7 × 2028
12 × 1183
13 × 1092
14 × 1014
21 × 676
26 × 546
28 × 507
39 × 364
42 × 338
52 × 273
78 × 182
84 × 169
91 × 156
First multiples
14,196 · 28,392 (double) · 42,588 · 56,784 · 70,980 · 85,176 · 99,372 · 113,568 · 127,764 · 141,960

Sums & aliquot sequence

As consecutive integers: 4,731 + 4,732 + 4,733 2,025 + 2,026 + … + 2,031 1,771 + 1,772 + … + 1,778 1,086 + 1,087 + … + 1,098
Aliquot sequence: 14,196 26,796 53,844 89,964 197,316 414,204 690,564 1,151,164 1,151,220 2,534,028 4,314,996 8,151,276 13,585,684 15,016,876 15,658,580 21,922,348 21,922,404 — unresolved within range

Continued fraction of √n

√14,196 = [119; (6, 1, 4, 9, 3, 14, 1, 1, 2, 1, 78, 1, 2, 1, 1, 14, 3, 9, 4, 1, 6, 238)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand one hundred ninety-six
Ordinal
14196th
Binary
11011101110100
Octal
33564
Hexadecimal
0x3774
Base64
N3Q=
One's complement
51,339 (16-bit)
Scientific notation
1.4196 × 10⁴
As a duration
14,196 s = 3 hours, 56 minutes, 36 seconds
In other bases
ternary (3) 201110210
quaternary (4) 3131310
quinary (5) 423241
senary (6) 145420
septenary (7) 56250
nonary (9) 21423
undecimal (11) a736
duodecimal (12) 8270
tridecimal (13) 6600
tetradecimal (14) 5260
pentadecimal (15) 4316

As an angle

14,196° = 39 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδρϟϛʹ
Mayan (base 20)
𝋡·𝋯·𝋩·𝋰
Chinese
一萬四千一百九十六
Chinese (financial)
壹萬肆仟壹佰玖拾陸
In other modern scripts
Eastern Arabic ١٤١٩٦ Devanagari १४१९६ Bengali ১৪১৯৬ Tamil ௧௪௧௯௬ Thai ๑๔๑๙๖ Tibetan ༡༤༡༩༦ Khmer ១៤១៩៦ Lao ໑໔໑໙໖ Burmese ၁၄၁၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 14,196 = 3
e — Euler's number (e)
Digit 14,196 = 0
φ — Golden ratio (φ)
Digit 14,196 = 9
√2 — Pythagoras's (√2)
Digit 14,196 = 5
ln 2 — Natural log of 2
Digit 14,196 = 4
γ — Euler-Mascheroni (γ)
Digit 14,196 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14196, here are decompositions:

  • 19 + 14177 = 14196
  • 23 + 14173 = 14196
  • 37 + 14159 = 14196
  • 43 + 14153 = 14196
  • 47 + 14149 = 14196
  • 53 + 14143 = 14196
  • 89 + 14107 = 14196
  • 109 + 14087 = 14196

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3774
U+3774
Other letter (Lo)

UTF-8 encoding: E3 9D B4 (3 bytes).

Hex color
#003774
RGB(0, 55, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.55.116.

Address
0.0.55.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.55.116

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

Musical pitch

Heard as a frequency, 14,196 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -48¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +15¢)
Position in π

The digit sequence 14196 first appears in π at position 2,916 of the decimal expansion (the 2,916ordinal-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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.