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9,828

9,828 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.).

9,828 (nine thousand eight hundred twenty-eight) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 7 × 13. Its proper divisors sum to 21,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2664.

Abundant Number Evil Number Harshad / Niven Heptagonal Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
27
Digit product
1,152
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
8,289
Recamán's sequence
a(7,851) = 9,828
Square (n²)
96,589,584
Cube (n³)
949,282,431,552
Divisor count
48
σ(n) — sum of divisors
31,360
φ(n) — Euler's totient
2,592
Sum of prime factors
33

Primality

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

Nearest primes: 9,817 (−11) · 9,829 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 13 · 14 · 18 · 21 · 26 · 27 · 28 · 36 · 39 · 42 · 52 · 54 · 63 · 78 · 84 · 91 · 108 · 117 · 126 · 156 · 182 · 189 · 234 · 252 · 273 · 351 · 364 · 378 · 468 · 546 · 702 · 756 · 819 · 1092 · 1404 · 1638 · 2457 · 3276 · 4914 (half) · 9828
Aliquot sum (sum of proper divisors): 21,532
Factor pairs (a × b = 9,828)
1 × 9828
2 × 4914
3 × 3276
4 × 2457
6 × 1638
7 × 1404
9 × 1092
12 × 819
13 × 756
14 × 702
18 × 546
21 × 468
26 × 378
27 × 364
28 × 351
36 × 273
39 × 252
42 × 234
52 × 189
54 × 182
63 × 156
78 × 126
84 × 117
91 × 108
First multiples
9,828 · 19,656 (double) · 29,484 · 39,312 · 49,140 · 58,968 · 68,796 · 78,624 · 88,452 · 98,280

Sums & aliquot sequence

As consecutive integers: 3,275 + 3,276 + 3,277 1,401 + 1,402 + … + 1,407 1,225 + 1,226 + … + 1,232 1,088 + 1,089 + … + 1,096
Aliquot sequence: 9,828 21,532 21,588 36,204 60,564 105,420 233,268 389,004 745,332 1,351,308 2,252,404 2,779,532 2,887,444 2,887,500 7,611,828 12,686,604 22,929,396 — unresolved within range

Continued fraction of √n

√9,828 = [99; (7, 2, 1, 21, 2, 1, 6, 1, 2, 21, 1, 2, 7, 198)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
nine thousand eight hundred twenty-eight
Ordinal
9828th
Binary
10011001100100
Octal
23144
Hexadecimal
0x2664
Base64
JmQ=
One's complement
55,707 (16-bit)
Scientific notation
9.828 × 10³
As a duration
9,828 s = 2 hours, 43 minutes, 48 seconds
In other bases
ternary (3) 111111000
quaternary (4) 2121210
quinary (5) 303303
senary (6) 113300
septenary (7) 40440
nonary (9) 14430
undecimal (11) 7425
duodecimal (12) 5830
tridecimal (13) 4620
tetradecimal (14) 3820
pentadecimal (15) 2da3
Palindromic in base 5

As an angle

9,828° = 27 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵θωκηʹ
Mayan (base 20)
𝋡·𝋤·𝋫·𝋨
Chinese
九千八百二十八
Chinese (financial)
玖仟捌佰貳拾捌
In other modern scripts
Eastern Arabic ٩٨٢٨ Devanagari ९८२८ Bengali ৯৮২৮ Tamil ௯௮௨௮ Thai ๙๘๒๘ Tibetan ༩༨༢༨ Khmer ៩៨២៨ Lao ໙໘໒໘ Burmese ၉၈၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 9,828 = 2
e — Euler's number (e)
Digit 9,828 = 1
φ — Golden ratio (φ)
Digit 9,828 = 0
√2 — Pythagoras's (√2)
Digit 9,828 = 9
ln 2 — Natural log of 2
Digit 9,828 = 3
γ — Euler-Mascheroni (γ)
Digit 9,828 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9828, here are decompositions:

  • 11 + 9817 = 9828
  • 17 + 9811 = 9828
  • 37 + 9791 = 9828
  • 41 + 9787 = 9828
  • 47 + 9781 = 9828
  • 59 + 9769 = 9828
  • 61 + 9767 = 9828
  • 79 + 9749 = 9828

Showing the first eight; more decompositions exist.

Unicode codepoint
White Spade Suit
U+2664
Other symbol (So)

UTF-8 encoding: E2 99 A4 (3 bytes).

Hex color
#002664
RGB(0, 38, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.38.100.

Address
0.0.38.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.38.100

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

Musical pitch

Heard as a frequency, 9,828 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +15¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, -21¢)
Position in π

The digit sequence 9828 first appears in π at position 35,264 of the decimal expansion (the 35,264ordinal-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°.