Number

2,591

2,591 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity: Odd
Digit count: 4
Digit sum: 17
Digit product: 90
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,952
Recamán's sequence: a(7,450) = 2,591
Square (n²): 6,713,281
Cube (n³): 17,394,111,071
Divisor count: 2
σ(n) — sum of divisors: 2,592
φ(n) — Euler's totient: 2,590

Primality

2,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2591

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,591)

1 × 2591

First multiples

2,591 · 5,182 (double) · 7,773 · 10,364 · 12,955 · 15,546 · 18,137 · 20,728 · 23,319 · 25,910

Sums & aliquot sequence

As consecutive integers: 1,295 + 1,296

Representations

In words: two thousand five hundred ninety-one
Ordinal: 2591st
Roman numeral: MMDXCI
Binary: 101000011111
Octal: 5037
Hexadecimal: 0xA1F
Base64: Ch8=
One's complement: 62,944 (16-bit)

In other bases

ternary (3) 10112222

quaternary (4) 220133

quinary (5) 40331

senary (6) 15555

septenary (7) 10361

nonary (9) 3488

undecimal (11) 1a46

duodecimal (12) 15bb

tridecimal (13) 1244

tetradecimal (14) d31

pentadecimal (15) b7b

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βφϟαʹ
Mayan (base 20): 𝋦·𝋩·𝋫
Chinese: 二千五百九十一
Chinese (financial): 貳仟伍佰玖拾壹

In other modern scripts

Eastern Arabic ٢٥٩١ Devanagari २५९१ Bengali ২৫৯১ Tamil ௨௫௯௧ Thai ๒๕๙๑ Tibetan ༢༥༩༡ Khmer ២៥៩១ Lao ໒໕໙໑ Burmese ၂၅၉၁

Digit at this position in famous constants

π — Pi (π): Digit 2,591 = 9
e — Euler's number (e): Digit 2,591 = 1
φ — Golden ratio (φ): Digit 2,591 = 6
√2 — Pythagoras's (√2): Digit 2,591 = 1
ln 2 — Natural log of 2: Digit 2,591 = 0
γ — Euler-Mascheroni (γ): Digit 2,591 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,579 (gap of 12)
Next prime: 2,593 (gap of 2)

Pair status: twin with 2593.

Unicode codepoint

ਟ

Gurmukhi Letter Tta

U+0A1F

Other letter (Lo)

UTF-8 encoding: E0 A8 9F (3 bytes).

Lookup U+0A1F on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000A1F

RGB(0, 10, 31)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.31.

Address: 0.0.10.31
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.31

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

Position in π

The digit sequence 2591 first appears in π at position 6,169 of the decimal expansion (the 6,169ordinal-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 2591 on Pi Search ↗