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4,214

4,214 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.).

4,214 (four thousand two hundred fourteen) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 7² × 43. Written other ways, in hexadecimal, 0x1076.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
32
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
4,124
Recamán's sequence
a(1,252) = 4,214
Square (n²)
17,757,796
Cube (n³)
74,831,352,344
Divisor count
12
σ(n) — sum of divisors
7,524
φ(n) — Euler's totient
1,764
Sum of prime factors
59

Primality

Prime factorization: 2 × 7 2 × 43

Nearest primes: 4,211 (−3) · 4,217 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 14 · 43 · 49 · 86 · 98 · 301 · 602 · 2107 (half) · 4214
Aliquot sum (sum of proper divisors): 3,310
Factor pairs (a × b = 4,214)
1 × 4214
2 × 2107
7 × 602
14 × 301
43 × 98
49 × 86
First multiples
4,214 · 8,428 (double) · 12,642 · 16,856 · 21,070 · 25,284 · 29,498 · 33,712 · 37,926 · 42,140

Sums & aliquot sequence

As consecutive integers: 1,052 + 1,053 + 1,054 + 1,055 599 + 600 + … + 605 137 + 138 + … + 164 77 + 78 + … + 119
Aliquot sequence: 4,214 3,310 2,666 1,558 962 634 320 442 314 160 218 112 136 134 70 74 40 — unresolved within range

Continued fraction of √n

√4,214 = [64; (1, 10, 1, 4, 3, 1, 1, 1, 1, 2, 25, 1, 1, 2, 1, 1, 25, 2, 1, 1, 1, 1, 3, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred fourteen
Ordinal
4214th
Binary
1000001110110
Octal
10166
Hexadecimal
0x1076
Base64
EHY=
One's complement
61,321 (16-bit)
Scientific notation
4.214 × 10³
As a duration
4,214 s = 1 hour, 10 minutes, 14 seconds
In other bases
ternary (3) 12210002
quaternary (4) 1001312
quinary (5) 113324
senary (6) 31302
septenary (7) 15200
nonary (9) 5702
undecimal (11) 3191
duodecimal (12) 2532
tridecimal (13) 1bc2
tetradecimal (14) 1770
pentadecimal (15) 13ae

As an angle

4,214° = 11 × 360° + 254°
254° ≈ 4.433 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσιδʹ
Mayan (base 20)
𝋪·𝋪·𝋮
Chinese
四千二百一十四
Chinese (financial)
肆仟貳佰壹拾肆
In other modern scripts
Eastern Arabic ٤٢١٤ Devanagari ४२१४ Bengali ৪২১৪ Tamil ௪௨௧௪ Thai ๔๒๑๔ Tibetan ༤༢༡༤ Khmer ៤២១៤ Lao ໔໒໑໔ Burmese ၄၂၁၄

Digit at this position in famous constants

π — Pi (π)
Digit 4,214 = 1
e — Euler's number (e)
Digit 4,214 = 6
φ — Golden ratio (φ)
Digit 4,214 = 6
√2 — Pythagoras's (√2)
Digit 4,214 = 9
ln 2 — Natural log of 2
Digit 4,214 = 7
γ — Euler-Mascheroni (γ)
Digit 4,214 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4214, here are decompositions:

  • 3 + 4211 = 4214
  • 13 + 4201 = 4214
  • 37 + 4177 = 4214
  • 61 + 4153 = 4214
  • 103 + 4111 = 4214
  • 157 + 4057 = 4214
  • 163 + 4051 = 4214
  • 193 + 4021 = 4214

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Letter Shan Kha
U+1076
Other letter (Lo)

UTF-8 encoding: E1 81 B6 (3 bytes).

Hex color
#001076
RGB(0, 16, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.118.

Address
0.0.16.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.118

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

Musical pitch

Heard as a frequency, 4,214 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +12¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +49¢ — about midway to C♯8)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +13¢)
Position in π

The digit sequence 4214 first appears in π at position 12,695 of the decimal expansion (the 12,695ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.