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8,470

8,470 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.).

8,470 (eight thousand four hundred seventy) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 5 × 7 × 11². Its proper divisors sum to 10,682, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2116.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
748
Recamán's sequence
a(51,903) = 8,470
Square (n²)
71,740,900
Cube (n³)
607,645,423,000
Divisor count
24
σ(n) — sum of divisors
19,152
φ(n) — Euler's totient
2,640
Sum of prime factors
36

Primality

Prime factorization: 2 × 5 × 7 × 11 2

Nearest primes: 8,467 (−3) · 8,501 (+31)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 7 · 10 · 11 · 14 · 22 · 35 · 55 · 70 · 77 · 110 · 121 · 154 · 242 · 385 · 605 · 770 · 847 · 1210 · 1694 · 4235 (half) · 8470
Aliquot sum (sum of proper divisors): 10,682
Factor pairs (a × b = 8,470)
1 × 8470
2 × 4235
5 × 1694
7 × 1210
10 × 847
11 × 770
14 × 605
22 × 385
35 × 242
55 × 154
70 × 121
77 × 110
First multiples
8,470 · 16,940 (double) · 25,410 · 33,880 · 42,350 · 50,820 · 59,290 · 67,760 · 76,230 · 84,700

Sums & aliquot sequence

As consecutive integers: 2,116 + 2,117 + 2,118 + 2,119 1,692 + 1,693 + 1,694 + 1,695 + 1,696 1,207 + 1,208 + … + 1,213 765 + 766 + … + 775
Aliquot sequence: 8,470 10,682 8,128 8,128 — reaches a perfect number

Continued fraction of √n

√8,470 = [92; (30, 1, 2, 20, 8, 1, 2, 1, 1, 12, 1, 1, 2, 1, 8, 20, 2, 1, 30, 184)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
eight thousand four hundred seventy
Ordinal
8470th
Binary
10000100010110
Octal
20426
Hexadecimal
0x2116
Base64
IRY=
One's complement
57,065 (16-bit)
Scientific notation
8.47 × 10³
As a duration
8,470 s = 2 hours, 21 minutes, 10 seconds
In other bases
ternary (3) 102121201
quaternary (4) 2010112
quinary (5) 232340
senary (6) 103114
septenary (7) 33460
nonary (9) 12551
undecimal (11) 6400
duodecimal (12) 4a9a
tridecimal (13) 3b17
tetradecimal (14) 3130
pentadecimal (15) 279a
Palindromic in base 3

As an angle

8,470° = 23 × 360° + 190°
190° ≈ 3.316 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ηυοʹ
Mayan (base 20)
𝋡·𝋡·𝋣·𝋪
Chinese
八千四百七十
Chinese (financial)
捌仟肆佰柒拾
In other modern scripts
Eastern Arabic ٨٤٧٠ Devanagari ८४७० Bengali ৮৪৭০ Tamil ௮௪௭௦ Thai ๘๔๗๐ Tibetan ༨༤༧༠ Khmer ៨៤៧០ Lao ໘໔໗໐ Burmese ၈၄၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 8,470 = 9
e — Euler's number (e)
Digit 8,470 = 1
φ — Golden ratio (φ)
Digit 8,470 = 8
√2 — Pythagoras's (√2)
Digit 8,470 = 7
ln 2 — Natural log of 2
Digit 8,470 = 7
γ — Euler-Mascheroni (γ)
Digit 8,470 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8470, here are decompositions:

  • 3 + 8467 = 8470
  • 23 + 8447 = 8470
  • 41 + 8429 = 8470
  • 47 + 8423 = 8470
  • 83 + 8387 = 8470
  • 101 + 8369 = 8470
  • 107 + 8363 = 8470
  • 173 + 8297 = 8470

Showing the first eight; more decompositions exist.

Unicode codepoint
Numero Sign
U+2116
Other symbol (So)

UTF-8 encoding: E2 84 96 (3 bytes).

Hex color
#002116
RGB(0, 33, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.33.22.

Address
0.0.33.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.33.22

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

Musical pitch

Heard as a frequency, 8,470 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, -42¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +21¢)
Position in π

The digit sequence 8470 first appears in π at position 7,904 of the decimal expansion (the 7,904ordinal-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