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Number

23,041

23,041 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
14,032
Recamán's sequence
a(83,770) = 23,041
Square (n²)
530,887,681
Cube (n³)
12,232,183,057,921
Divisor count
2
σ(n) — sum of divisors
23,042
φ(n) — Euler's totient
23,040

Primality

23,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,041)
1 × 23041
First multiples
23,041 · 46,082 (double) · 69,123 · 92,164 · 115,205 · 138,246 · 161,287 · 184,328 · 207,369 · 230,410

Sums & aliquot sequence

As a sum of two squares: 80² + 129²
As consecutive integers: 11,520 + 11,521

Representations

In words
twenty-three thousand forty-one
Ordinal
23041st
Binary
101101000000001
Octal
55001
Hexadecimal
0x5A01
Base64
WgE=
One's complement
42,494 (16-bit)
In other bases
ternary (3) 1011121101
quaternary (4) 11220001
quinary (5) 1214131
senary (6) 254401
septenary (7) 124114
nonary (9) 34541
undecimal (11) 16347
duodecimal (12) 11401
tridecimal (13) a645
tetradecimal (14) 857b
pentadecimal (15) 6c61

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵κγμαʹ
Mayan (base 20)
𝋢·𝋱·𝋬·𝋡
Chinese
二萬三千零四十一
Chinese (financial)
貳萬參仟零肆拾壹
In other modern scripts
Eastern Arabic ٢٣٠٤١ Devanagari २३०४१ Bengali ২৩০৪১ Tamil ௨௩௦௪௧ Thai ๒๓๐๔๑ Tibetan ༢༣༠༤༡ Khmer ២៣០៤១ Lao ໒໓໐໔໑ Burmese ၂၃၀၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 23,041 = 7
e — Euler's number (e)
Digit 23,041 = 4
φ — Golden ratio (φ)
Digit 23,041 = 4
√2 — Pythagoras's (√2)
Digit 23,041 = 3
ln 2 — Natural log of 2
Digit 23,041 = 6
γ — Euler-Mascheroni (γ)
Digit 23,041 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,039 (gap of 2)
  • Next prime: 23,053 (gap of 12)

Pair status: twin with 23039.

Unicode codepoint
CJK Unified Ideograph-5A01
U+5A01
Other letter (Lo)

UTF-8 encoding: E5 A8 81 (3 bytes).

Hex color
#005A01
RGB(0, 90, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.1.

Address
0.0.90.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.1

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

Position in π

The digit sequence 23041 first appears in π at position 45,701 of the decimal expansion (the 45,701ordinal-suffix:st 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.