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Number

25,997

25,997 is a prime, odd.

25,997 (twenty-five thousand nine hundred ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x658D.

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
32
Digit product
5,670
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
79,952
Recamán's sequence
a(164,797) = 25,997
Square (n²)
675,844,009
Cube (n³)
17,569,916,701,973
Divisor count
2
σ(n) — sum of divisors
25,998
φ(n) — Euler's totient
25,996

Primality

25,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 25997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 25,997)
1 × 25997
First multiples
25,997 · 51,994 (double) · 77,991 · 103,988 · 129,985 · 155,982 · 181,979 · 207,976 · 233,973 · 259,970

Sums & aliquot sequence

As a sum of two squares: 94² + 131²
As consecutive integers: 12,998 + 12,999

Continued fraction of √n

√25,997 = [161; (4, 4, 5, 1, 28, 2, 9, 1, 10, 4, 1, 1, 1, 6, 4, 1, 1, 2, 4, 2, 2, 1, 2, 6, …)]

Representations

In words
twenty-five thousand nine hundred ninety-seven
Ordinal
25997th
Binary
110010110001101
Octal
62615
Hexadecimal
0x658D
Base64
ZY0=
One's complement
39,538 (16-bit)
Scientific notation
2.5997 × 10⁴
As a duration
25,997 s = 7 hours, 13 minutes, 17 seconds
In other bases
ternary (3) 1022122212
quaternary (4) 12112031
quinary (5) 1312442
senary (6) 320205
septenary (7) 135536
nonary (9) 38585
undecimal (11) 18594
duodecimal (12) 13065
tridecimal (13) baaa
tetradecimal (14) 968d
pentadecimal (15) 7a82

As an angle

25,997° = 72 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κεϡϟζʹ
Mayan (base 20)
𝋣·𝋤·𝋳·𝋱
Chinese
二萬五千九百九十七
Chinese (financial)
貳萬伍仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ٢٥٩٩٧ Devanagari २५९९७ Bengali ২৫৯৯৭ Tamil ௨௫௯௯௭ Thai ๒๕๙๙๗ Tibetan ༢༥༩༩༧ Khmer ២៥៩៩៧ Lao ໒໕໙໙໗ Burmese ၂၅၉၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 25,997 = 0
e — Euler's number (e)
Digit 25,997 = 6
φ — Golden ratio (φ)
Digit 25,997 = 5
√2 — Pythagoras's (√2)
Digit 25,997 = 0
ln 2 — Natural log of 2
Digit 25,997 = 1
γ — Euler-Mascheroni (γ)
Digit 25,997 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 25,981 (gap of 16)
  • Next prime: 25,999 (gap of 2)

Pair status: twin with 25999.

Unicode codepoint
CJK Unified Ideograph-658D
U+658D
Other letter (Lo)

UTF-8 encoding: E6 96 8D (3 bytes).

Hex color
#00658D
RGB(0, 101, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.101.141.

Address
0.0.101.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.101.141

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

Position in π

The digit sequence 25997 first appears in π at position 38,154 of the decimal expansion (the 38,154ordinal-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.