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Number

10,529

10,529 is a prime, odd.

10,529 (ten thousand five 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, 0x2921.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious 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
92,501
Recamán's sequence
a(50,461) = 10,529
Square (n²)
110,859,841
Cube (n³)
1,167,243,265,889
Divisor count
2
σ(n) — sum of divisors
10,530
φ(n) — Euler's totient
10,528

Primality

10,529 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10529
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,529)
1 × 10529
First multiples
10,529 · 21,058 (double) · 31,587 · 42,116 · 52,645 · 63,174 · 73,703 · 84,232 · 94,761 · 105,290

Sums & aliquot sequence

As a sum of two squares: 23² + 100²
As consecutive integers: 5,264 + 5,265

Continued fraction of √n

√10,529 = [102; (1, 1, 1, 1, 3, 15, 1, 1, 28, 1, 4, 25, 2, 4, 1, 1, 1, 3, 1, 1, 5, 3, 3, 2, …)]

Representations

In words
ten thousand five hundred twenty-nine
Ordinal
10529th
Binary
10100100100001
Octal
24441
Hexadecimal
0x2921
Base64
KSE=
One's complement
55,006 (16-bit)
Scientific notation
1.0529 × 10⁴
As a duration
10,529 s = 2 hours, 55 minutes, 29 seconds
In other bases
ternary (3) 112102222
quaternary (4) 2210201
quinary (5) 314104
senary (6) 120425
septenary (7) 42461
nonary (9) 15388
undecimal (11) 7a02
duodecimal (12) 6115
tridecimal (13) 4a3c
tetradecimal (14) 3ba1
pentadecimal (15) 31be

As an angle

10,529° = 29 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιφκθʹ
Mayan (base 20)
𝋡·𝋦·𝋦·𝋩
Chinese
一萬零五百二十九
Chinese (financial)
壹萬零伍佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٥٢٩ Devanagari १०५२९ Bengali ১০৫২৯ Tamil ௧௦௫௨௯ Thai ๑๐๕๒๙ Tibetan ༡༠༥༢༩ Khmer ១០៥២៩ Lao ໑໐໕໒໙ Burmese ၁၀၅၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,529 = 8
e — Euler's number (e)
Digit 10,529 = 5
φ — Golden ratio (φ)
Digit 10,529 = 1
√2 — Pythagoras's (√2)
Digit 10,529 = 4
ln 2 — Natural log of 2
Digit 10,529 = 4
γ — Euler-Mascheroni (γ)
Digit 10,529 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,513 (gap of 16)
  • Next prime: 10,531 (gap of 2)

Pair status: twin with 10531.

Unicode codepoint
North West And South East Arrow
U+2921
Math symbol (Sm)

UTF-8 encoding: E2 A4 A1 (3 bytes).

Hex color
#002921
RGB(0, 41, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.33.

Address
0.0.41.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.33

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

Musical pitch

Heard as a frequency, 10,529 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -3¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -2¢)
Position in π

The digit sequence 10529 first appears in π at position 42,202 of the decimal expansion (the 42,202ordinal-suffix:nd 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.