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Number

10,061

10,061 is a prime, odd.

10,061 (ten thousand sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x274D.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
16,001
Flips to (rotate 180°)
19,001
Recamán's sequence
a(4,909) = 10,061
Square (n²)
101,223,721
Cube (n³)
1,018,411,856,981
Divisor count
2
σ(n) — sum of divisors
10,062
φ(n) — Euler's totient
10,060

Primality

10,061 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10061
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,061)
1 × 10061
First multiples
10,061 · 20,122 (double) · 30,183 · 40,244 · 50,305 · 60,366 · 70,427 · 80,488 · 90,549 · 100,610

Sums & aliquot sequence

As a sum of two squares: 35² + 94²
As consecutive integers: 5,030 + 5,031

Continued fraction of √n

√10,061 = [100; (3, 3, 1, 1, 9, 2, 6, 1, 2, 4, 1, 1, 5, 5, 1, 1, 4, 2, 1, 6, 2, 9, 1, 1, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words
ten thousand sixty-one
Ordinal
10061st
Binary
10011101001101
Octal
23515
Hexadecimal
0x274D
Base64
J00=
One's complement
55,474 (16-bit)
Scientific notation
1.0061 × 10⁴
As a duration
10,061 s = 2 hours, 47 minutes, 41 seconds
In other bases
ternary (3) 111210122
quaternary (4) 2131031
quinary (5) 310221
senary (6) 114325
septenary (7) 41222
nonary (9) 14718
undecimal (11) 7617
duodecimal (12) 59a5
tridecimal (13) 476c
tetradecimal (14) 3949
pentadecimal (15) 2eab

As an angle

10,061° = 27 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιξαʹ
Mayan (base 20)
𝋡·𝋥·𝋣·𝋡
Chinese
一萬零六十一
Chinese (financial)
壹萬零陸拾壹
In other modern scripts
Eastern Arabic ١٠٠٦١ Devanagari १००६१ Bengali ১০০৬১ Tamil ௧௦௦௬௧ Thai ๑๐๐๖๑ Tibetan ༡༠༠༦༡ Khmer ១០០៦១ Lao ໑໐໐໖໑ Burmese ၁၀၀၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,061 = 6
e — Euler's number (e)
Digit 10,061 = 9
φ — Golden ratio (φ)
Digit 10,061 = 0
√2 — Pythagoras's (√2)
Digit 10,061 = 1
ln 2 — Natural log of 2
Digit 10,061 = 9
γ — Euler-Mascheroni (γ)
Digit 10,061 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,039 (gap of 22)
  • Next prime: 10,067 (gap of 6)

Pair status: sexy with 10067.

Unicode codepoint
Shadowed White Circle
U+274D
Other symbol (So)

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

Hex color
#00274D
RGB(0, 39, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.77.

Address
0.0.39.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.77

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

Musical pitch

Heard as a frequency, 10,061 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +18¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -44¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +19¢)
Position in π

The digit sequence 10061 first appears in π at position 191,276 of the decimal expansion (the 191,276ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.