Number

41

41 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime Year

Historical context — 41 AD

Calendar year

AD 41 (XLI) was a common year starting on Sunday of the Julian calendar.

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Historical context — 41 BC

Calendar year

Year 41 BC was either a common year starting on Wednesday or Thursday or a leap year starting on Tuesday, Wednesday or Thursday of the Julian calendar and a leap year starting on Wednesday of the Proleptic Julian calendar.

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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: Tuesday
January 1, 41
Ended on: Tuesday
December 31, 41
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 40s
40–49
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,985
1985 years before 2026.

In other calendars

Hebrew: 3801 / 3802 AM
Rosh Hashanah falls in September/October.
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: 584 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 33 / 34 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): -37 / -38 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 5
Digit product: 4
Digital root: 5
Palindrome: No
Bit width: 6 bits
Reversed: 14
Recamán's sequence: a(22) = 41
Square (n²): 1,681
Cube (n³): 68,921
Divisor count: 2
σ(n) — sum of divisors: 42
φ(n) — Euler's totient: 40

Primality

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

Divisors & multiples

All divisors (2)

1 · 41

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 41)

1 × 41

First multiples

41 · 82 (double) · 123 · 164 · 205 · 246 · 287 · 328 · 369 · 410

Sums & aliquot sequence

As a sum of two squares: 4² + 5²

As consecutive integers: 20 + 21

Representations

In words: forty-one
Ordinal: 41st
Roman numeral: XLI
Binary: 101001
Octal: 51
Hexadecimal: 0x29
Base64: KQ==
One's complement: 214 (8-bit)

In other bases

ternary (3) 1112

quaternary (4) 221

quinary (5) 131

senary (6) 105

septenary (7) 56

nonary (9) 45

undecimal (11) 38

duodecimal (12) 35

tridecimal (13) 32

tetradecimal (14) 2d

pentadecimal (15) 2b

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): μαʹ
Mayan (base 20): 𝋢·𝋡
Chinese: 四十一
Chinese (financial): 肆拾壹

In other modern scripts

Eastern Arabic ٤١ Devanagari ४१ Bengali ৪১ Tamil ௪௧ Thai ๔๑ Tibetan ༤༡ Khmer ៤១ Lao ໔໑ Burmese ၄၁

Digit at this position in famous constants

π — Pi (π): Digit 41 = 1
e — Euler's number (e): Digit 41 = 2
φ — Golden ratio (φ): Digit 41 = 3
√2 — Pythagoras's (√2): Digit 41 = 6
ln 2 — Natural log of 2: Digit 41 = 5
γ — Euler-Mascheroni (γ): Digit 41 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 37 (gap of 4)
Next prime: 43 (gap of 2)

Pair status: twin with 43, cousin with 37.

ASCII character

As an ASCII codepoint, 41 is ). Printable ASCII character ).

Hex color

#000029

RGB(0, 0, 41)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.41.

Address: 0.0.0.41
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.41

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

US numbered highway

Matches numbered highway designation:

US 41 — Sault Ste. Marie, MI to Miami, FL.

US 41 on Wikipedia ↗