Number

12,241

12,241 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 5
Digit sum: 10
Digit product: 16
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 14,221
Recamán's sequence: a(22,302) = 12,241
Square (n²): 149,842,081
Cube (n³): 1,834,216,913,521
Divisor count: 2
σ(n) — sum of divisors: 12,242
φ(n) — Euler's totient: 12,240

Primality

12,241 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 12241

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 12,241)

1 × 12241

First multiples

12,241 · 24,482 (double) · 36,723 · 48,964 · 61,205 · 73,446 · 85,687 · 97,928 · 110,169 · 122,410

Sums & aliquot sequence

As a sum of two squares: 55² + 96²

As consecutive integers: 6,120 + 6,121

Representations

In words: twelve thousand two hundred forty-one
Ordinal: 12241st
Binary: 10111111010001
Octal: 27721
Hexadecimal: 0x2FD1
Base64: L9E=
One's complement: 53,294 (16-bit)

In other bases

ternary (3) 121210101

quaternary (4) 2333101

quinary (5) 342431

senary (6) 132401

septenary (7) 50455

nonary (9) 17711

undecimal (11) 9219

duodecimal (12) 7101

tridecimal (13) 5758

tetradecimal (14) 4665

pentadecimal (15) 3961

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιβσμαʹ
Mayan (base 20): 𝋡·𝋪·𝋬·𝋡
Chinese: 一萬二千二百四十一
Chinese (financial): 壹萬貳仟貳佰肆拾壹

In other modern scripts

Eastern Arabic ١٢٢٤١ Devanagari १२२४१ Bengali ১২২৪১ Tamil ௧௨௨௪௧ Thai ๑๒๒๔๑ Tibetan ༡༢༢༤༡ Khmer ១២២៤១ Lao ໑໒໒໔໑ Burmese ၁၂၂၄၁

Digit at this position in famous constants

π — Pi (π): Digit 12,241 = 3
e — Euler's number (e): Digit 12,241 = 3
φ — Golden ratio (φ): Digit 12,241 = 8
√2 — Pythagoras's (√2): Digit 12,241 = 7
ln 2 — Natural log of 2: Digit 12,241 = 7
γ — Euler-Mascheroni (γ): Digit 12,241 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 12,239 (gap of 2)
Next prime: 12,251 (gap of 10)

Pair status: twin with 12239.

Unicode codepoint

⿑

Kangxi Radical Even

U+2FD1

Other symbol (So)

UTF-8 encoding: E2 BF 91 (3 bytes).

Lookup U+2FD1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002FD1

RGB(0, 47, 209)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.209.

Address: 0.0.47.209
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.47.209

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

Position in π

The digit sequence 12241 first appears in π at position 151,225 of the decimal expansion (the 151,225ordinal-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 12241 on Pi Search ↗