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Number

10,709

10,709 is a prime, odd.

10,709 (ten thousand seven hundred nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29D5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
90,701
Recamán's sequence
a(50,101) = 10,709
Square (n²)
114,682,681
Cube (n³)
1,228,136,830,829
Divisor count
2
σ(n) — sum of divisors
10,710
φ(n) — Euler's totient
10,708

Primality

10,709 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10709
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,709)
1 × 10709
First multiples
10,709 · 21,418 (double) · 32,127 · 42,836 · 53,545 · 64,254 · 74,963 · 85,672 · 96,381 · 107,090

Sums & aliquot sequence

As a sum of two squares: 10² + 103²
As consecutive integers: 5,354 + 5,355

Continued fraction of √n

√10,709 = [103; (2, 15, 2, 2, 1, 2, 3, 41, 10, 3, 11, 1, 5, 1, 3, 8, 51, 1, 1, 1, 1, 1, 3, 2, …)]

Representations

In words
ten thousand seven hundred nine
Ordinal
10709th
Binary
10100111010101
Octal
24725
Hexadecimal
0x29D5
Base64
KdU=
One's complement
54,826 (16-bit)
Scientific notation
1.0709 × 10⁴
As a duration
10,709 s = 2 hours, 58 minutes, 29 seconds
In other bases
ternary (3) 112200122
quaternary (4) 2213111
quinary (5) 320314
senary (6) 121325
septenary (7) 43136
nonary (9) 15618
undecimal (11) 8056
duodecimal (12) 6245
tridecimal (13) 4b4a
tetradecimal (14) 3c8d
pentadecimal (15) 328e

As an angle

10,709° = 29 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιψθʹ
Mayan (base 20)
𝋡·𝋦·𝋯·𝋩
Chinese
一萬零七百零九
Chinese (financial)
壹萬零柒佰零玖
In other modern scripts
Eastern Arabic ١٠٧٠٩ Devanagari १०७०९ Bengali ১০৭০৯ Tamil ௧௦௭௦௯ Thai ๑๐๗๐๙ Tibetan ༡༠༧༠༩ Khmer ១០៧០៩ Lao ໑໐໗໐໙ Burmese ၁၀၇၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,709 = 9
e — Euler's number (e)
Digit 10,709 = 7
φ — Golden ratio (φ)
Digit 10,709 = 3
√2 — Pythagoras's (√2)
Digit 10,709 = 3
ln 2 — Natural log of 2
Digit 10,709 = 5
γ — Euler-Mascheroni (γ)
Digit 10,709 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,691 (gap of 18)
  • Next prime: 10,711 (gap of 2)

Pair status: twin with 10711.

Unicode codepoint
Times With Right Half Black
U+29D5
Math symbol (Sm)

UTF-8 encoding: E2 A7 95 (3 bytes).

Hex color
#0029D5
RGB(0, 41, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.213.

Address
0.0.41.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.213

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

Musical pitch

Heard as a frequency, 10,709 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +26¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -36¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +27¢)
Position in π

The digit sequence 10709 first appears in π at position 57,683 of the decimal expansion (the 57,683ordinal-suffix:rd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.