number.wiki
Live analysis

8,428

8,428 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.).

8,428 (eight thousand four hundred twenty-eight) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 43. Its proper divisors sum to 9,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20EC.

Abundant Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
512
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
8,248
Recamán's sequence
a(2,875) = 8,428
Square (n²)
71,031,184
Cube (n³)
598,650,818,752
Divisor count
18
σ(n) — sum of divisors
17,556
φ(n) — Euler's totient
3,528
Sum of prime factors
61

Primality

Prime factorization: 2 2 × 7 2 × 43

Nearest primes: 8,423 (−5) · 8,429 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 43 · 49 · 86 · 98 · 172 · 196 · 301 · 602 · 1204 · 2107 · 4214 (half) · 8428
Aliquot sum (sum of proper divisors): 9,128
Factor pairs (a × b = 8,428)
1 × 8428
2 × 4214
4 × 2107
7 × 1204
14 × 602
28 × 301
43 × 196
49 × 172
86 × 98
First multiples
8,428 · 16,856 (double) · 25,284 · 33,712 · 42,140 · 50,568 · 58,996 · 67,424 · 75,852 · 84,280

Sums & aliquot sequence

As consecutive integers: 1,201 + 1,202 + … + 1,207 1,050 + 1,051 + … + 1,057 175 + 176 + … + 217 148 + 149 + … + 196
Aliquot sequence: 8,428 9,128 10,552 9,248 10,093 1 0 — terminates at zero

Continued fraction of √n

√8,428 = [91; (1, 4, 9, 2, 6, 3, 14, 1, 60, 3, 1, 2, 1, 2, 2, 19, 1, 44, 1, 19, 2, 2, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
eight thousand four hundred twenty-eight
Ordinal
8428th
Binary
10000011101100
Octal
20354
Hexadecimal
0x20EC
Base64
IOw=
One's complement
57,107 (16-bit)
Scientific notation
8.428 × 10³
As a duration
8,428 s = 2 hours, 20 minutes, 28 seconds
In other bases
ternary (3) 102120011
quaternary (4) 2003230
quinary (5) 232203
senary (6) 103004
septenary (7) 33400
nonary (9) 12504
undecimal (11) 6372
duodecimal (12) 4a64
tridecimal (13) 3ab4
tetradecimal (14) 3100
pentadecimal (15) 276d

As an angle

8,428° = 23 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηυκηʹ
Mayan (base 20)
𝋡·𝋡·𝋡·𝋨
Chinese
八千四百二十八
Chinese (financial)
捌仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٨٤٢٨ Devanagari ८४२८ Bengali ৮৪২৮ Tamil ௮௪௨௮ Thai ๘๔๒๘ Tibetan ༨༤༢༨ Khmer ៨៤២៨ Lao ໘໔໒໘ Burmese ၈၄၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 8,428 = 3
e — Euler's number (e)
Digit 8,428 = 3
φ — Golden ratio (φ)
Digit 8,428 = 8
√2 — Pythagoras's (√2)
Digit 8,428 = 5
ln 2 — Natural log of 2
Digit 8,428 = 8
γ — Euler-Mascheroni (γ)
Digit 8,428 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8428, here are decompositions:

  • 5 + 8423 = 8428
  • 41 + 8387 = 8428
  • 59 + 8369 = 8428
  • 131 + 8297 = 8428
  • 137 + 8291 = 8428
  • 191 + 8237 = 8428
  • 197 + 8231 = 8428
  • 257 + 8171 = 8428

Showing the first eight; more decompositions exist.

Unicode codepoint
Combining Rightwards Harpoon With Barb Downwards
U+20EC
Non-spacing mark (Mn)

UTF-8 encoding: E2 83 AC (3 bytes).

Hex color
#0020EC
RGB(0, 32, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.236.

Address
0.0.32.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.236

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

Musical pitch

Heard as a frequency, 8,428 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +12¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +49¢ — about midway to C♯9)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +13¢)
Position in π

The digit sequence 8428 first appears in π at position 29,480 of the decimal expansion (the 29,480ordinal-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