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Number

10,429

10,429 is a prime, odd.

10,429 (ten thousand four hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x28BD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
92,401
Recamán's sequence
a(50,661) = 10,429
Square (n²)
108,764,041
Cube (n³)
1,134,300,183,589
Divisor count
2
σ(n) — sum of divisors
10,430
φ(n) — Euler's totient
10,428

Primality

10,429 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10429
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,429)
1 × 10429
First multiples
10,429 · 20,858 (double) · 31,287 · 41,716 · 52,145 · 62,574 · 73,003 · 83,432 · 93,861 · 104,290

Sums & aliquot sequence

As a sum of two squares: 5² + 102²
As consecutive integers: 5,214 + 5,215

Continued fraction of √n

√10,429 = [102; (8, 6, 15, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 67, 2, 1, 2, 18, 5, 5, 2, 9, 1, …)]

Representations

In words
ten thousand four hundred twenty-nine
Ordinal
10429th
Binary
10100010111101
Octal
24275
Hexadecimal
0x28BD
Base64
KL0=
One's complement
55,106 (16-bit)
Scientific notation
1.0429 × 10⁴
As a duration
10,429 s = 2 hours, 53 minutes, 49 seconds
In other bases
ternary (3) 112022021
quaternary (4) 2202331
quinary (5) 313204
senary (6) 120141
septenary (7) 42256
nonary (9) 15267
undecimal (11) 7921
duodecimal (12) 6051
tridecimal (13) 4993
tetradecimal (14) 3b2d
pentadecimal (15) 3154

As an angle

10,429° = 28 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιυκθʹ
Mayan (base 20)
𝋡·𝋦·𝋡·𝋩
Chinese
一萬零四百二十九
Chinese (financial)
壹萬零肆佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٤٢٩ Devanagari १०४२९ Bengali ১০৪২৯ Tamil ௧௦௪௨௯ Thai ๑๐๔๒๙ Tibetan ༡༠༤༢༩ Khmer ១០៤២៩ Lao ໑໐໔໒໙ Burmese ၁၀၄၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,429 = 2
e — Euler's number (e)
Digit 10,429 = 2
φ — Golden ratio (φ)
Digit 10,429 = 6
√2 — Pythagoras's (√2)
Digit 10,429 = 5
ln 2 — Natural log of 2
Digit 10,429 = 7
γ — Euler-Mascheroni (γ)
Digit 10,429 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,427 (gap of 2)
  • Next prime: 10,433 (gap of 4)

Pair status: twin with 10427, cousin with 10433.

Unicode codepoint
Braille Pattern Dots-134568
U+28BD
Other symbol (So)

UTF-8 encoding: E2 A2 BD (3 bytes).

Hex color
#0028BD
RGB(0, 40, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.189.

Address
0.0.40.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.189

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

Musical pitch

Heard as a frequency, 10,429 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -18¢)
Position in π

The digit sequence 10429 first appears in π at position 47,554 of the decimal expansion (the 47,554ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.