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Number

41,213

41,213 is a prime, odd.

41,213 (forty-one thousand two hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xA0FD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
31,214
Recamán's sequence
a(303,966) = 41,213
Square (n²)
1,698,511,369
Cube (n³)
70,000,749,050,597
Divisor count
2
σ(n) — sum of divisors
41,214
φ(n) — Euler's totient
41,212

Primality

41,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 41213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 41,213)
1 × 41213
First multiples
41,213 · 82,426 (double) · 123,639 · 164,852 · 206,065 · 247,278 · 288,491 · 329,704 · 370,917 · 412,130

Sums & aliquot sequence

As a sum of two squares: 2² + 203²
As consecutive integers: 20,606 + 20,607

Continued fraction of √n

√41,213 = [203; (101, 1, 1, 101, 406)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
forty-one thousand two hundred thirteen
Ordinal
41213th
Binary
1010000011111101
Octal
120375
Hexadecimal
0xA0FD
Base64
oP0=
One's complement
24,322 (16-bit)
Scientific notation
4.1213 × 10⁴
As a duration
41,213 s = 11 hours, 26 minutes, 53 seconds
In other bases
ternary (3) 2002112102
quaternary (4) 22003331
quinary (5) 2304323
senary (6) 514445
septenary (7) 231104
nonary (9) 62472
undecimal (11) 28a67
duodecimal (12) 1ba25
tridecimal (13) 159b3
tetradecimal (14) 1103b
pentadecimal (15) c328

As an angle

41,213° = 114 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μασιγʹ
Mayan (base 20)
𝋥·𝋣·𝋠·𝋭
Chinese
四萬一千二百一十三
Chinese (financial)
肆萬壹仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٤١٢١٣ Devanagari ४१२१३ Bengali ৪১২১৩ Tamil ௪௧௨௧௩ Thai ๔๑๒๑๓ Tibetan ༤༡༢༡༣ Khmer ៤១២១៣ Lao ໔໑໒໑໓ Burmese ၄၁၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 41,213 = 8
e — Euler's number (e)
Digit 41,213 = 8
φ — Golden ratio (φ)
Digit 41,213 = 7
√2 — Pythagoras's (√2)
Digit 41,213 = 6
ln 2 — Natural log of 2
Digit 41,213 = 6
γ — Euler-Mascheroni (γ)
Digit 41,213 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 41,203 (gap of 10)
  • Next prime: 41,221 (gap of 8)
Unicode codepoint
Yi Syllable Vyp
U+A0FD
Other letter (Lo)

UTF-8 encoding: EA 83 BD (3 bytes).

Hex color
#00A0FD
RGB(0, 160, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.160.253.

Address
0.0.160.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.160.253

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

Position in π

The digit sequence 41213 first appears in π at position 47,500 of the decimal expansion (the 47,500ordinal-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.