number.wiki
Live analysis

21,770

21,770 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.).

21,770 (twenty-one thousand seven hundred seventy) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 311. Its proper divisors sum to 23,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x550A.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
7,712
Recamán's sequence
a(40,299) = 21,770
Square (n²)
473,932,900
Cube (n³)
10,317,519,233,000
Divisor count
16
σ(n) — sum of divisors
44,928
φ(n) — Euler's totient
7,440
Sum of prime factors
325

Primality

Prime factorization: 2 × 5 × 7 × 311

Nearest primes: 21,767 (−3) · 21,773 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 311 · 622 · 1555 · 2177 · 3110 · 4354 · 10885 (half) · 21770
Aliquot sum (sum of proper divisors): 23,158
Factor pairs (a × b = 21,770)
1 × 21770
2 × 10885
5 × 4354
7 × 3110
10 × 2177
14 × 1555
35 × 622
70 × 311
First multiples
21,770 · 43,540 (double) · 65,310 · 87,080 · 108,850 · 130,620 · 152,390 · 174,160 · 195,930 · 217,700

Sums & aliquot sequence

As consecutive integers: 5,441 + 5,442 + 5,443 + 5,444 4,352 + 4,353 + 4,354 + 4,355 + 4,356 3,107 + 3,108 + … + 3,113 1,079 + 1,080 + … + 1,098
Aliquot sequence: 21,770 23,158 11,582 5,794 2,900 3,610 3,248 4,192 4,124 3,100 3,844 3,107 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√21,770 = [147; (1, 1, 4, 1, 6, 2, 1, 1, 1, 3, 9, 4, 9, 3, 1, 1, 1, 2, 6, 1, 4, 1, 1, 294)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
twenty-one thousand seven hundred seventy
Ordinal
21770th
Binary
101010100001010
Octal
52412
Hexadecimal
0x550A
Base64
VQo=
One's complement
43,765 (16-bit)
Scientific notation
2.177 × 10⁴
As a duration
21,770 s = 6 hours, 2 minutes, 50 seconds
In other bases
ternary (3) 1002212022
quaternary (4) 11110022
quinary (5) 1144040
senary (6) 244442
septenary (7) 120320
nonary (9) 32768
undecimal (11) 153a1
duodecimal (12) 10722
tridecimal (13) 9ba8
tetradecimal (14) 7d10
pentadecimal (15) 66b5
Palindromic in base 6

As an angle

21,770° = 60 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵καψοʹ
Mayan (base 20)
𝋢·𝋮·𝋨·𝋪
Chinese
二萬一千七百七十
Chinese (financial)
貳萬壹仟柒佰柒拾
In other modern scripts
Eastern Arabic ٢١٧٧٠ Devanagari २१७७० Bengali ২১৭৭০ Tamil ௨௧௭௭௦ Thai ๒๑๗๗๐ Tibetan ༢༡༧༧༠ Khmer ២១៧៧០ Lao ໒໑໗໗໐ Burmese ၂၁၇၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,770 = 4
e — Euler's number (e)
Digit 21,770 = 8
φ — Golden ratio (φ)
Digit 21,770 = 5
√2 — Pythagoras's (√2)
Digit 21,770 = 9
ln 2 — Natural log of 2
Digit 21,770 = 9
γ — Euler-Mascheroni (γ)
Digit 21,770 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21770, here are decompositions:

  • 3 + 21767 = 21770
  • 13 + 21757 = 21770
  • 19 + 21751 = 21770
  • 31 + 21739 = 21770
  • 43 + 21727 = 21770
  • 97 + 21673 = 21770
  • 109 + 21661 = 21770
  • 157 + 21613 = 21770

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-550A
U+550A
Other letter (Lo)

UTF-8 encoding: E5 94 8A (3 bytes).

Hex color
#00550A
RGB(0, 85, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.10.

Address
0.0.85.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.10

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

Position in π

The digit sequence 21770 first appears in π at position 30,379 of the decimal expansion (the 30,379ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.