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4,218

4,218 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.).

4,218 (four thousand two hundred eighteen) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 19 × 37. Its proper divisors sum to 4,902, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x107A.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
64
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
8,124
Recamán's sequence
a(1,260) = 4,218
Square (n²)
17,791,524
Cube (n³)
75,044,648,232
Divisor count
16
σ(n) — sum of divisors
9,120
φ(n) — Euler's totient
1,296
Sum of prime factors
61

Primality

Prime factorization: 2 × 3 × 19 × 37

Nearest primes: 4,217 (−1) · 4,219 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 19 · 37 · 38 · 57 · 74 · 111 · 114 · 222 · 703 · 1406 · 2109 (half) · 4218
Aliquot sum (sum of proper divisors): 4,902
Factor pairs (a × b = 4,218)
1 × 4218
2 × 2109
3 × 1406
6 × 703
19 × 222
37 × 114
38 × 111
57 × 74
First multiples
4,218 · 8,436 (double) · 12,654 · 16,872 · 21,090 · 25,308 · 29,526 · 33,744 · 37,962 · 42,180

Sums & aliquot sequence

As consecutive integers: 1,405 + 1,406 + 1,407 1,053 + 1,054 + 1,055 + 1,056 346 + 347 + … + 357 213 + 214 + … + 231
Aliquot sequence: 4,218 4,902 5,658 6,438 7,242 8,310 11,706 11,718 19,002 19,014 19,026 28,398 28,410 39,846 42,954 42,966 76,842 — unresolved within range

Continued fraction of √n

√4,218 = [64; (1, 17, 1, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 1, 1, 17, 1, 128)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred eighteen
Ordinal
4218th
Binary
1000001111010
Octal
10172
Hexadecimal
0x107A
Base64
EHo=
One's complement
61,317 (16-bit)
Scientific notation
4.218 × 10³
As a duration
4,218 s = 1 hour, 10 minutes, 18 seconds
In other bases
ternary (3) 12210020
quaternary (4) 1001322
quinary (5) 113333
senary (6) 31310
septenary (7) 15204
nonary (9) 5706
undecimal (11) 3195
duodecimal (12) 2536
tridecimal (13) 1bc6
tetradecimal (14) 1774
pentadecimal (15) 13b3

As an angle

4,218° = 11 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσιηʹ
Mayan (base 20)
𝋪·𝋪·𝋲
Chinese
四千二百一十八
Chinese (financial)
肆仟貳佰壹拾捌
In other modern scripts
Eastern Arabic ٤٢١٨ Devanagari ४२१८ Bengali ৪২১৮ Tamil ௪௨௧௮ Thai ๔๒๑๘ Tibetan ༤༢༡༨ Khmer ៤២១៨ Lao ໔໒໑໘ Burmese ၄၂၁၈

Digit at this position in famous constants

π — Pi (π)
Digit 4,218 = 0
e — Euler's number (e)
Digit 4,218 = 1
φ — Golden ratio (φ)
Digit 4,218 = 2
√2 — Pythagoras's (√2)
Digit 4,218 = 8
ln 2 — Natural log of 2
Digit 4,218 = 0
γ — Euler-Mascheroni (γ)
Digit 4,218 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4218, here are decompositions:

  • 7 + 4211 = 4218
  • 17 + 4201 = 4218
  • 41 + 4177 = 4218
  • 59 + 4159 = 4218
  • 61 + 4157 = 4218
  • 79 + 4139 = 4218
  • 89 + 4129 = 4218
  • 107 + 4111 = 4218

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Letter Shan Nya
U+107A
Other letter (Lo)

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

Hex color
#00107A
RGB(0, 16, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.122.

Address
0.0.16.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.122

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

Musical pitch

Heard as a frequency, 4,218 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +13¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -49¢ — about midway to C8)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +14¢)
Position in π

The digit sequence 4218 first appears in π at position 3,316 of the decimal expansion (the 3,316ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.