Number

10,253

10,253 is a prime, odd.

Arithmetic Number Balanced Prime Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 35,201
Recamán's sequence: a(5,765) = 10,253
Square (n²): 105,124,009
Cube (n³): 1,077,836,464,277
Divisor count: 2
σ(n) — sum of divisors: 10,254
φ(n) — Euler's totient: 10,252

Primality

10,253 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 10253

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 10,253)

1 × 10253

First multiples

10,253 · 20,506 (double) · 30,759 · 41,012 · 51,265 · 61,518 · 71,771 · 82,024 · 92,277 · 102,530

Sums & aliquot sequence

As a sum of two squares: 58² + 83²

As consecutive integers: 5,126 + 5,127

Representations

In words: ten thousand two hundred fifty-three
Ordinal: 10253rd
Binary: 10100000001101
Octal: 24015
Hexadecimal: 0x280D
Base64: KA0=
One's complement: 55,282 (16-bit)

In other bases

ternary (3) 112001202

quaternary (4) 2200031

quinary (5) 312003

senary (6) 115245

septenary (7) 41615

nonary (9) 15052

undecimal (11) 7781

duodecimal (12) 5b25

tridecimal (13) 4889

tetradecimal (14) 3a45

pentadecimal (15) 3088

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ισνγʹ
Mayan (base 20): 𝋡·𝋥·𝋬·𝋭
Chinese: 一萬零二百五十三
Chinese (financial): 壹萬零貳佰伍拾參

In other modern scripts

Eastern Arabic ١٠٢٥٣ Devanagari १०२५३ Bengali ১০২৫৩ Tamil ௧௦௨௫௩ Thai ๑๐๒๕๓ Tibetan ༡༠༢༥༣ Khmer ១០២៥៣ Lao ໑໐໒໕໓ Burmese ၁၀၂၅၃

Digit at this position in famous constants

π — Pi (π): Digit 10,253 = 2
e — Euler's number (e): Digit 10,253 = 4
φ — Golden ratio (φ): Digit 10,253 = 0
√2 — Pythagoras's (√2): Digit 10,253 = 8
ln 2 — Natural log of 2: Digit 10,253 = 2
γ — Euler-Mascheroni (γ): Digit 10,253 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 10,247 (gap of 6)
Next prime: 10,259 (gap of 6)

Pair status: sexy with 10247, sexy with 10259.

Unicode codepoint

⠍

Braille Pattern Dots-134

U+280D

Other symbol (So)

UTF-8 encoding: E2 A0 8D (3 bytes).

Lookup U+280D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00280D

RGB(0, 40, 13)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.13.

Address: 0.0.40.13
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.40.13

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

Position in π

The digit sequence 10253 first appears in π at position 62,329 of the decimal expansion (the 62,329ordinal-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.

Look up 10253 on Pi Search ↗