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10,221

10,221 is a composite number, odd.

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.).

10,221 (ten thousand two hundred twenty-one) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 3 × 3,407. Written other ways, in hexadecimal, 0x27ED.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
12,201
Recamán's sequence
a(5,701) = 10,221
Square (n²)
104,468,841
Cube (n³)
1,067,776,023,861
Divisor count
4
σ(n) — sum of divisors
13,632
φ(n) — Euler's totient
6,812
Sum of prime factors
3,410

Primality

Prime factorization: 3 × 3407

Nearest primes: 10,211 (−10) · 10,223 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 3407 · 10221
Aliquot sum (sum of proper divisors): 3,411
Factor pairs (a × b = 10,221)
1 × 10221
3 × 3407
First multiples
10,221 · 20,442 (double) · 30,663 · 40,884 · 51,105 · 61,326 · 71,547 · 81,768 · 91,989 · 102,210

Sums & aliquot sequence

As consecutive integers: 5,110 + 5,111 3,406 + 3,407 + 3,408 1,701 + 1,702 + 1,703 + 1,704 + 1,705 + 1,706
Aliquot sequence: 10,221 3,411 1,529 151 1 0 — terminates at zero

Continued fraction of √n

√10,221 = [101; (10, 9, 1, 1, 8, 3, 1, 3, 2, 1, 2, 2, 2, 1, 1, 28, 3, 2, 1, 66, 1, 2, 3, 28, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
ten thousand two hundred twenty-one
Ordinal
10221st
Binary
10011111101101
Octal
23755
Hexadecimal
0x27ED
Base64
J+0=
One's complement
55,314 (16-bit)
Scientific notation
1.0221 × 10⁴
As a duration
10,221 s = 2 hours, 50 minutes, 21 seconds
In other bases
ternary (3) 112000120
quaternary (4) 2133231
quinary (5) 311341
senary (6) 115153
septenary (7) 41541
nonary (9) 15016
undecimal (11) 7752
duodecimal (12) 5ab9
tridecimal (13) 4863
tetradecimal (14) 3a21
pentadecimal (15) 3066

As an angle

10,221° = 28 × 360° + 141°
141° ≈ 2.461 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ισκαʹ
Mayan (base 20)
𝋡·𝋥·𝋫·𝋡
Chinese
一萬零二百二十一
Chinese (financial)
壹萬零貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٢١ Devanagari १०२२१ Bengali ১০২২১ Tamil ௧௦௨௨௧ Thai ๑๐๒๒๑ Tibetan ༡༠༢༢༡ Khmer ១០២២១ Lao ໑໐໒໒໑ Burmese ၁၀၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,221 = 3
e — Euler's number (e)
Digit 10,221 = 0
φ — Golden ratio (φ)
Digit 10,221 = 3
√2 — Pythagoras's (√2)
Digit 10,221 = 2
ln 2 — Natural log of 2
Digit 10,221 = 6
γ — Euler-Mascheroni (γ)
Digit 10,221 = 2

Also seen as

Unicode codepoint
Mathematical Right White Tortoise Shell Bracket
U+27ED
Close punctuation (Pe)

UTF-8 encoding: E2 9F AD (3 bytes).

Hex color
#0027ED
RGB(0, 39, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.237.

Address
0.0.39.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.237

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

Musical pitch

Heard as a frequency, 10,221 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +45¢ — about midway to E9)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -17¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +47¢ — about midway to F9)
Position in π

The digit sequence 10221 first appears in π at position 135,756 of the decimal expansion (the 135,756ordinal-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°.