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10,209

10,209 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.).

10,209 (ten thousand two hundred nine) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 41 × 83. Written other ways, in hexadecimal, 0x27E1.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
90,201
Recamán's sequence
a(5,677) = 10,209
Square (n²)
104,223,681
Cube (n³)
1,064,019,559,329
Divisor count
8
σ(n) — sum of divisors
14,112
φ(n) — Euler's totient
6,560
Sum of prime factors
127

Primality

Prime factorization: 3 × 41 × 83

Nearest primes: 10,193 (−16) · 10,211 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 41 · 83 · 123 · 249 · 3403 · 10209
Aliquot sum (sum of proper divisors): 3,903
Factor pairs (a × b = 10,209)
1 × 10209
3 × 3403
41 × 249
83 × 123
First multiples
10,209 · 20,418 (double) · 30,627 · 40,836 · 51,045 · 61,254 · 71,463 · 81,672 · 91,881 · 102,090

Sums & aliquot sequence

As consecutive integers: 5,104 + 5,105 3,402 + 3,403 + 3,404 1,699 + 1,700 + 1,701 + 1,702 + 1,703 + 1,704 229 + 230 + … + 269
Aliquot sequence: 10,209 3,903 1,305 1,035 837 443 1 0 — terminates at zero

Continued fraction of √n

√10,209 = [101; (25, 3, 1, 11, 1, 7, 6, 5, 3, 2, 1, 5, 2, 2, 1, 5, 1, 4, 4, 1, 39, 1, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
ten thousand two hundred nine
Ordinal
10209th
Binary
10011111100001
Octal
23741
Hexadecimal
0x27E1
Base64
J+E=
One's complement
55,326 (16-bit)
Scientific notation
1.0209 × 10⁴
As a duration
10,209 s = 2 hours, 50 minutes, 9 seconds
In other bases
ternary (3) 112000010
quaternary (4) 2133201
quinary (5) 311314
senary (6) 115133
septenary (7) 41523
nonary (9) 15003
undecimal (11) 7741
duodecimal (12) 5aa9
tridecimal (13) 4854
tetradecimal (14) 3a13
pentadecimal (15) 3059

As an angle

10,209° = 28 × 360° + 129°
129° ≈ 2.251 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ισθʹ
Mayan (base 20)
𝋡·𝋥·𝋪·𝋩
Chinese
一萬零二百零九
Chinese (financial)
壹萬零貳佰零玖
In other modern scripts
Eastern Arabic ١٠٢٠٩ Devanagari १०२०९ Bengali ১০২০৯ Tamil ௧௦௨௦௯ Thai ๑๐๒๐๙ Tibetan ༡༠༢༠༩ Khmer ១០២០៩ Lao ໑໐໒໐໙ Burmese ၁၀၂၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,209 = 6
e — Euler's number (e)
Digit 10,209 = 1
φ — Golden ratio (φ)
Digit 10,209 = 1
√2 — Pythagoras's (√2)
Digit 10,209 = 1
ln 2 — Natural log of 2
Digit 10,209 = 1
γ — Euler-Mascheroni (γ)
Digit 10,209 = 3

Also seen as

Unicode codepoint
White Concave-Sided Diamond
U+27E1
Math symbol (Sm)

UTF-8 encoding: E2 9F A1 (3 bytes).

Hex color
#0027E1
RGB(0, 39, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.225.

Address
0.0.39.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.225

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

Musical pitch

Heard as a frequency, 10,209 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +43¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -19¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +45¢ — about midway to F9)
Position in π

The digit sequence 10209 first appears in π at position 31,215 of the decimal expansion (the 31,215ordinal-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°.