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Number

41,221

41,221 is a prime, odd.

41,221 (forty-one thousand two hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xA105.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
16
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
12,214
Recamán's sequence
a(303,950) = 41,221
Square (n²)
1,699,170,841
Cube (n³)
70,041,521,236,861
Divisor count
2
σ(n) — sum of divisors
41,222
φ(n) — Euler's totient
41,220

Primality

41,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 41221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 41,221)
1 × 41221
First multiples
41,221 · 82,442 (double) · 123,663 · 164,884 · 206,105 · 247,326 · 288,547 · 329,768 · 370,989 · 412,210

Sums & aliquot sequence

As a sum of two squares: 111² + 170²
As consecutive integers: 20,610 + 20,611

Continued fraction of √n

√41,221 = [203; (33, 1, 5, 11, 8, 1, 14, 6, 1, 2, 2, 1, 19, 1, 1, 1, 1, 26, 2, 7, 2, 8, 5, 1, …)]

Representations

In words
forty-one thousand two hundred twenty-one
Ordinal
41221st
Binary
1010000100000101
Octal
120405
Hexadecimal
0xA105
Base64
oQU=
One's complement
24,314 (16-bit)
Scientific notation
4.1221 × 10⁴
As a duration
41,221 s = 11 hours, 27 minutes, 1 second
In other bases
ternary (3) 2002112201
quaternary (4) 22010011
quinary (5) 2304341
senary (6) 514501
septenary (7) 231115
nonary (9) 62481
undecimal (11) 28a74
duodecimal (12) 1ba31
tridecimal (13) 159bb
tetradecimal (14) 11045
pentadecimal (15) c331

As an angle

41,221° = 114 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵μασκαʹ
Mayan (base 20)
𝋥·𝋣·𝋡·𝋡
Chinese
四萬一千二百二十一
Chinese (financial)
肆萬壹仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٤١٢٢١ Devanagari ४१२२१ Bengali ৪১২২১ Tamil ௪௧௨௨௧ Thai ๔๑๒๒๑ Tibetan ༤༡༢༢༡ Khmer ៤១២២១ Lao ໔໑໒໒໑ Burmese ၄၁၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 41,221 = 0
e — Euler's number (e)
Digit 41,221 = 0
φ — Golden ratio (φ)
Digit 41,221 = 1
√2 — Pythagoras's (√2)
Digit 41,221 = 7
ln 2 — Natural log of 2
Digit 41,221 = 1
γ — Euler-Mascheroni (γ)
Digit 41,221 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 41,213 (gap of 8)
  • Next prime: 41,227 (gap of 6)

Pair status: sexy with 41227.

Unicode codepoint
Yi Syllable Die
U+A105
Other letter (Lo)

UTF-8 encoding: EA 84 85 (3 bytes).

Hex color
#00A105
RGB(0, 161, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.161.5.

Address
0.0.161.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.161.5

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

Position in π

The digit sequence 41221 first appears in π at position 65,669 of the decimal expansion (the 65,669ordinal-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.