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Number

26,261

26,261 is a prime, odd.

26,261 (twenty-six thousand two hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x6695.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
16,262
Recamán's sequence
a(36,225) = 26,261
Square (n²)
689,640,121
Cube (n³)
18,110,639,217,581
Divisor count
2
σ(n) — sum of divisors
26,262
φ(n) — Euler's totient
26,260

Primality

26,261 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 26261
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 26,261)
1 × 26261
First multiples
26,261 · 52,522 (double) · 78,783 · 105,044 · 131,305 · 157,566 · 183,827 · 210,088 · 236,349 · 262,610

Sums & aliquot sequence

As a sum of two squares: 110² + 119²
As consecutive integers: 13,130 + 13,131

Continued fraction of √n

√26,261 = [162; (19, 16, 6, 1, 1, 4, 3, 2, 1, 13, 2, 1, 1, 5, 1, 1, 1, 2, 1, 10, 2, 4, 1, 1, …)]

Representations

In words
twenty-six thousand two hundred sixty-one
Ordinal
26261st
Binary
110011010010101
Octal
63225
Hexadecimal
0x6695
Base64
ZpU=
One's complement
39,274 (16-bit)
Scientific notation
2.6261 × 10⁴
As a duration
26,261 s = 7 hours, 17 minutes, 41 seconds
In other bases
ternary (3) 1100000122
quaternary (4) 12122111
quinary (5) 1320021
senary (6) 321325
septenary (7) 136364
nonary (9) 40018
undecimal (11) 18804
duodecimal (12) 13245
tridecimal (13) bc51
tetradecimal (14) 97db
pentadecimal (15) 7bab

As an angle

26,261° = 72 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵κϛσξαʹ
Mayan (base 20)
𝋣·𝋥·𝋭·𝋡
Chinese
二萬六千二百六十一
Chinese (financial)
貳萬陸仟貳佰陸拾壹
In other modern scripts
Eastern Arabic ٢٦٢٦١ Devanagari २६२६१ Bengali ২৬২৬১ Tamil ௨௬௨௬௧ Thai ๒๖๒๖๑ Tibetan ༢༦༢༦༡ Khmer ២៦២៦១ Lao ໒໖໒໖໑ Burmese ၂၆၂၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 26,261 = 3
e — Euler's number (e)
Digit 26,261 = 6
φ — Golden ratio (φ)
Digit 26,261 = 4
√2 — Pythagoras's (√2)
Digit 26,261 = 5
ln 2 — Natural log of 2
Digit 26,261 = 3
γ — Euler-Mascheroni (γ)
Digit 26,261 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 26,251 (gap of 10)
  • Next prime: 26,263 (gap of 2)

Pair status: twin with 26263.

Unicode codepoint
CJK Unified Ideograph-6695
U+6695
Other letter (Lo)

UTF-8 encoding: E6 9A 95 (3 bytes).

Hex color
#006695
RGB(0, 102, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.102.149.

Address
0.0.102.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.102.149

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

Position in π

The digit sequence 26261 first appears in π at position 77,010 of the decimal expansion (the 77,010ordinal-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.