Number

761

761 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Descending Digits Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Year

Historical context — 761 AD

Calendar year

Year 761 (DCCLXI) was a common year starting on Thursday of the Julian calendar.

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Historical context — 761 BC

Decade

This article concerns the period 769 BC – 760 BC.

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Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Sunday
January 1, 761
Ended on: Sunday
December 31, 761
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 760s
760–769
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,265
1265 years before 2026.

In other calendars

Hebrew: 4521 / 4522 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 143 / 144 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1304 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 139 / 140 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 753 / 754 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 683 / 682 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 14
Digit product: 42
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 167
Recamán's sequence: a(909) = 761
Square (n²): 579,121
Cube (n³): 440,711,081
Divisor count: 2
σ(n) — sum of divisors: 762
φ(n) — Euler's totient: 760

Primality

761 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 761

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 761)

1 × 761

First multiples

761 · 1,522 (double) · 2,283 · 3,044 · 3,805 · 4,566 · 5,327 · 6,088 · 6,849 · 7,610

Sums & aliquot sequence

As a sum of two squares: 19² + 20²

As consecutive integers: 380 + 381

Representations

In words: seven hundred sixty-one
Ordinal: 761st
Roman numeral: DCCLXI
Binary: 1011111001
Octal: 1371
Hexadecimal: 0x2F9
Base64: Avk=
One's complement: 64,774 (16-bit)

In other bases

ternary (3) 1001012

quaternary (4) 23321

quinary (5) 11021

senary (6) 3305

septenary (7) 2135

nonary (9) 1035

undecimal (11) 632

duodecimal (12) 535

tridecimal (13) 467

tetradecimal (14) 3c5

pentadecimal (15) 35b

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ψξαʹ
Mayan (base 20): 𝋡·𝋲·𝋡
Chinese: 七百六十一
Chinese (financial): 柒佰陸拾壹

In other modern scripts

Eastern Arabic ٧٦١ Devanagari ७६१ Bengali ৭৬১ Tamil ௭௬௧ Thai ๗๖๑ Tibetan ༧༦༡ Khmer ៧៦១ Lao ໗໖໑ Burmese ၇၆၁

Digit at this position in famous constants

π — Pi (π): Digit 761 = 3
e — Euler's number (e): Digit 761 = 8
φ — Golden ratio (φ): Digit 761 = 0
√2 — Pythagoras's (√2): Digit 761 = 0
ln 2 — Natural log of 2: Digit 761 = 8
γ — Euler-Mascheroni (γ): Digit 761 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 757 (gap of 4)
Next prime: 769 (gap of 8)

Pair status: cousin with 757.

Unicode codepoint

Modifier Letter Begin High Tone

U+02F9

Modifier symbol (Sk)

UTF-8 encoding: CB B9 (2 bytes).

Lookup U+02F9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002F9

RGB(0, 2, 249)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.249.

Address: 0.0.2.249
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.249

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