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Number

3,253

3,253 is a prime, odd.

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

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
90
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
3,523
Recamán's sequence
a(6,842) = 3,253
Square (n²)
10,582,009
Cube (n³)
34,423,275,277
Divisor count
2
σ(n) — sum of divisors
3,254
φ(n) — Euler's totient
3,252

Primality

3,253 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3253
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,253)
1 × 3253
First multiples
3,253 · 6,506 (double) · 9,759 · 13,012 · 16,265 · 19,518 · 22,771 · 26,024 · 29,277 · 32,530

Sums & aliquot sequence

As a sum of two squares: 2² + 57²
As consecutive integers: 1,626 + 1,627

Representations

In words
three thousand two hundred fifty-three
Ordinal
3253rd
Roman numeral
MMMCCLIII
Binary
110010110101
Octal
6265
Hexadecimal
0xCB5
Base64
DLU=
One's complement
62,282 (16-bit)
In other bases
ternary (3) 11110111
quaternary (4) 302311
quinary (5) 101003
senary (6) 23021
septenary (7) 12325
nonary (9) 4414
undecimal (11) 2498
duodecimal (12) 1a71
tridecimal (13) 1633
tetradecimal (14) 1285
pentadecimal (15) e6d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γσνγʹ
Mayan (base 20)
𝋨·𝋢·𝋭
Chinese
三千二百五十三
Chinese (financial)
參仟貳佰伍拾參
In other modern scripts
Eastern Arabic ٣٢٥٣ Devanagari ३२५३ Bengali ৩২৫৩ Tamil ௩௨௫௩ Thai ๓๒๕๓ Tibetan ༣༢༥༣ Khmer ៣២៥៣ Lao ໓໒໕໓ Burmese ၃၂၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,253 = 0
e — Euler's number (e)
Digit 3,253 = 2
φ — Golden ratio (φ)
Digit 3,253 = 5
√2 — Pythagoras's (√2)
Digit 3,253 = 4
ln 2 — Natural log of 2
Digit 3,253 = 6
γ — Euler-Mascheroni (γ)
Digit 3,253 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,251 (gap of 2)
  • Next prime: 3,257 (gap of 4)

Pair status: twin with 3251, cousin with 3257.

Unicode codepoint
Kannada Letter Va
U+0CB5
Other letter (Lo)

UTF-8 encoding: E0 B2 B5 (3 bytes).

Hex color
#000CB5
RGB(0, 12, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.181.

Address
0.0.12.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.12.181

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

Position in π

The digit sequence 3253 first appears in π at position 10,092 of the decimal expansion (the 10,092ordinal-suffix:nd 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.