Live analysis

21,320

21,320 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.).

21,320 (twenty-one thousand three hundred twenty) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 41. Its proper divisors sum to 31,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x5348.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

21,308 21,309 21,310 21,311 21,312 21,313 21,314 21,315 21,316 21,317 21,318 21,319 21,320 21,321 21,322 21,323 21,324 21,325 21,326 21,327 21,328 21,329 21,330 21,331 21,332

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 15 bits
Reversed: 2,312
Recamán's sequence: a(41,199) = 21,320
Square (n²): 454,542,400
Cube (n³): 9,690,843,968,000
Divisor count: 32
σ(n) — sum of divisors: 52,920
φ(n) — Euler's totient: 7,680
Sum of prime factors: 65

Primality

Prime factorization: 2 ³ × 5 × 13 × 41

Nearest primes: 21,319 (−1) · 21,323 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 41 · 52 · 65 · 82 · 104 · 130 · 164 · 205 · 260 · 328 · 410 · 520 · 533 · 820 · 1066 · 1640 · 2132 · 2665 · 4264 · 5330 · 10660 (half) · 21320

Aliquot sum (sum of proper divisors): 31,600

Factor pairs (a × b = 21,320)

1 × 21320

2 × 10660

4 × 5330

5 × 4264

8 × 2665

10 × 2132

13 × 1640

20 × 1066

26 × 820

40 × 533

41 × 520

52 × 410

65 × 328

82 × 260

104 × 205

130 × 164

First multiples

21,320 · 42,640 (double) · 63,960 · 85,280 · 106,600 · 127,920 · 149,240 · 170,560 · 191,880 · 213,200

Sums & aliquot sequence

As a sum of two squares: 2² + 146² = 34² + 142² = 58² + 134² = 86² + 118²

As consecutive integers: 4,262 + 4,263 + 4,264 + 4,265 + 4,266 1,634 + 1,635 + … + 1,646 1,325 + 1,326 + … + 1,340 500 + 501 + … + 540

Aliquot sequence: 21,320 → 31,600 → 45,280 → 62,072 → 54,328 → 47,552 → 46,936 → 41,084 → 30,820 → 37,724 → 28,300 → 33,328 → 31,276 → 31,332 → 52,444 → 52,500 → 122,444 — unresolved within range

Continued fraction of √n

√21,320 = [146; (73, 292)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: twenty-one thousand three hundred twenty
Ordinal: 21320th
Binary: 101001101001000
Octal: 51510
Hexadecimal: 0x5348
Base64: U0g=
One's complement: 44,215 (16-bit)
Scientific notation: 2.132 × 10⁴
As a duration: 21,320 s = 5 hours, 55 minutes, 20 seconds

In other bases

ternary (3) 1002020122

quaternary (4) 11031020

quinary (5) 1140240

senary (6) 242412

septenary (7) 116105

nonary (9) 32218

undecimal (11) 15022

duodecimal (12) 10408

tridecimal (13) 9920

tetradecimal (14) 7aac

pentadecimal (15) 64b5

As an angle

21,320° = 59 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵κατκʹ
Mayan (base 20): 𝋢·𝋭·𝋦·𝋠
Chinese: 二萬一千三百二十
Chinese (financial): 貳萬壹仟參佰貳拾

In other modern scripts

Eastern Arabic ٢١٣٢٠ Devanagari २१३२० Bengali ২১৩২০ Tamil ௨௧௩௨௦ Thai ๒๑๓๒๐ Tibetan ༢༡༣༢༠ Khmer ២១៣២០ Lao ໒໑໓໒໐ Burmese ၂၁၃၂၀

Digit at this position in famous constants

π — Pi (π): Digit 21,320 = 4
e — Euler's number (e): Digit 21,320 = 8
φ — Golden ratio (φ): Digit 21,320 = 8
√2 — Pythagoras's (√2): Digit 21,320 = 3
ln 2 — Natural log of 2: Digit 21,320 = 2
γ — Euler-Mascheroni (γ): Digit 21,320 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21320, here are decompositions:

3 + 21317 = 21320
7 + 21313 = 21320
37 + 21283 = 21320
43 + 21277 = 21320
73 + 21247 = 21320
109 + 21211 = 21320
127 + 21193 = 21320
151 + 21169 = 21320

Showing the first eight; more decompositions exist.

Unicode codepoint

午

CJK Unified Ideograph-5348

U+5348

Other letter (Lo)

UTF-8 encoding: E5 8D 88 (3 bytes).

Lookup U+5348 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#005348

RGB(0, 83, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.72.

Address: 0.0.83.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.83.72

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

Position in π

The digit sequence 21320 first appears in π at position 221,636 of the decimal expansion (the 221,636ordinal-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.

Look up 21320 on Pi Search ↗