Live analysis

8,820

8,820 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.).

8,820 (eight thousand eight hundred twenty) is an even 4-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5 × 7². Its proper divisors sum to 22,302, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2274.

Abundant Number Cube-Free Evil Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

8,808 8,809 8,810 8,811 8,812 8,813 8,814 8,815 8,816 8,817 8,818 8,819 8,820 8,821 8,822 8,823 8,824 8,825 8,826 8,827 8,828 8,829 8,830 8,831 8,832

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 288
Recamán's sequence: a(24,956) = 8,820
Square (n²): 77,792,400
Cube (n³): 686,128,968,000
Divisor count: 54
σ(n) — sum of divisors: 31,122
φ(n) — Euler's totient: 2,016
Sum of prime factors: 29

Primality

Prime factorization: 2 ² × 3 ² × 5 × 7 ²

Nearest primes: 8,819 (−1) · 8,821 (+1)

Divisors & multiples

All divisors (54)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 49 · 60 · 63 · 70 · 84 · 90 · 98 · 105 · 126 · 140 · 147 · 180 · 196 · 210 · 245 · 252 · 294 · 315 · 420 · 441 · 490 · 588 · 630 · 735 · 882 · 980 · 1260 · 1470 · 1764 · 2205 · 2940 · 4410 (half) · 8820

Aliquot sum (sum of proper divisors): 22,302

Factor pairs (a × b = 8,820)

1 × 8820

2 × 4410

3 × 2940

4 × 2205

5 × 1764

6 × 1470

7 × 1260

9 × 980

10 × 882

12 × 735

14 × 630

15 × 588

18 × 490

20 × 441

21 × 420

28 × 315

30 × 294

35 × 252

36 × 245

42 × 210

45 × 196

49 × 180

60 × 147

63 × 140

70 × 126

84 × 105

90 × 98

First multiples

8,820 · 17,640 (double) · 26,460 · 35,280 · 44,100 · 52,920 · 61,740 · 70,560 · 79,380 · 88,200

Sums & aliquot sequence

As a sum of two squares: 42² + 84²

As consecutive integers: 2,939 + 2,940 + 2,941 1,762 + 1,763 + 1,764 + 1,765 + 1,766 1,257 + 1,258 + … + 1,263 1,099 + 1,100 + … + 1,106

Aliquot sequence: 8,820 → 22,302 → 35,298 → 44,730 → 90,054 → 105,102 → 122,658 → 122,670 → 214,290 → 343,098 → 523,872 → 1,068,264 → 1,910,556 → 2,991,796 → 2,551,952 → 2,773,228 → 2,103,252 — unresolved within range

Continued fraction of √n

√8,820 = [93; (1, 10, 1, 2, 1, 10, 1, 186)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight thousand eight hundred twenty
Ordinal: 8820th
Binary: 10001001110100
Octal: 21164
Hexadecimal: 0x2274
Base64: InQ=
One's complement: 56,715 (16-bit)
Scientific notation: 8.82 × 10³
As a duration: 8,820 s = 2 hours, 27 minutes

In other bases

ternary (3) 110002200

quaternary (4) 2021310

quinary (5) 240240

senary (6) 104500

septenary (7) 34500

nonary (9) 13080

undecimal (11) 6699

duodecimal (12) 5130

tridecimal (13) 4026

tetradecimal (14) 3300

pentadecimal (15) 2930

As an angle

8,820° = 24 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ηωκʹ
Mayan (base 20): 𝋡·𝋢·𝋡·𝋠
Chinese: 八千八百二十
Chinese (financial): 捌仟捌佰貳拾

In other modern scripts

Eastern Arabic ٨٨٢٠ Devanagari ८८२० Bengali ৮৮২০ Tamil ௮௮௨௦ Thai ๘๘๒๐ Tibetan ༨༨༢༠ Khmer ៨៨២០ Lao ໘໘໒໐ Burmese ၈၈၂၀

Digit at this position in famous constants

π — Pi (π): Digit 8,820 = 9
e — Euler's number (e): Digit 8,820 = 7
φ — Golden ratio (φ): Digit 8,820 = 0
√2 — Pythagoras's (√2): Digit 8,820 = 5
ln 2 — Natural log of 2: Digit 8,820 = 4
γ — Euler-Mascheroni (γ): Digit 8,820 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8820, here are decompositions:

13 + 8807 = 8820
17 + 8803 = 8820
37 + 8783 = 8820
41 + 8779 = 8820
59 + 8761 = 8820
67 + 8753 = 8820
73 + 8747 = 8820
79 + 8741 = 8820

Showing the first eight; more decompositions exist.

Unicode codepoint

≴

Neither Less-Than Nor Equivalent To

U+2274

Math symbol (Sm)

UTF-8 encoding: E2 89 B4 (3 bytes).

Lookup U+2274 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002274

RGB(0, 34, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.34.116.

Address: 0.0.34.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.34.116

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

Musical pitch

Heard as a frequency, 8,820 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, -10¢)
Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, +28¢)
Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, -8¢)

Position in π

The digit sequence 8820 first appears in π at position 372 of the decimal expansion (the 372ordinal-suffix:nd 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.

Look up 8820 on Pi Search ↗