Number

3,041

3,041 is a prime, odd.

3,041 (three thousand forty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMXLI and in binary, 101111100001.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,029 3,030 3,031 3,032 3,033 3,034 3,035 3,036 3,037 3,038 3,039 3,040 3,041 3,042 3,043 3,044 3,045 3,046 3,047 3,048 3,049 3,050 3,051 3,052 3,053

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,403
Recamán's sequence: a(1,521) = 3,041
Square (n²): 9,247,681
Cube (n³): 28,122,197,921
Divisor count: 2
σ(n) — sum of divisors: 3,042
φ(n) — Euler's totient: 3,040

Primality

3,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3041

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,041)

1 × 3041

First multiples

3,041 · 6,082 (double) · 9,123 · 12,164 · 15,205 · 18,246 · 21,287 · 24,328 · 27,369 · 30,410

Sums & aliquot sequence

As a sum of two squares: 4² + 55²

As consecutive integers: 1,520 + 1,521

Continued fraction of √n

√3,041 = [55; (6, 1, 7, 1, 1, 1, 2, 9, 1, 1, 1, 5, 1, 4, 1, 21, 4, 2, 1, 2, 1, 3, 13, 1, …)]

Period length 49 — the block in parentheses repeats forever.

Representations

In words: three thousand forty-one
Ordinal: 3041st
Roman numeral: MMMXLI
Binary: 101111100001
Octal: 5741
Hexadecimal: 0xBE1
Base64: C+E=
One's complement: 62,494 (16-bit)
Scientific notation: 3.041 × 10³
As a duration: 3,041 s = 50 minutes, 41 seconds

In other bases

ternary (3) 11011122

quaternary (4) 233201

quinary (5) 44131

senary (6) 22025

septenary (7) 11603

nonary (9) 4148

undecimal (11) 2315

duodecimal (12) 1915

tridecimal (13) 14cc

tetradecimal (14) 1173

pentadecimal (15) d7b

As an angle

3,041° = 8 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γμαʹ
Mayan (base 20): 𝋧·𝋬·𝋡
Chinese: 三千零四十一
Chinese (financial): 參仟零肆拾壹

In other modern scripts

Eastern Arabic ٣٠٤١ Devanagari ३०४१ Bengali ৩০৪১ Tamil ௩௦௪௧ Thai ๓๐๔๑ Tibetan ༣༠༤༡ Khmer ៣០៤១ Lao ໓໐໔໑ Burmese ၃၀၄၁

Digit at this position in famous constants

π — Pi (π): Digit 3,041 = 7
e — Euler's number (e): Digit 3,041 = 9
φ — Golden ratio (φ): Digit 3,041 = 3
√2 — Pythagoras's (√2): Digit 3,041 = 4
ln 2 — Natural log of 2: Digit 3,041 = 4
γ — Euler-Mascheroni (γ): Digit 3,041 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,037 (gap of 4)
Next prime: 3,049 (gap of 8)

Pair status: cousin with 3037.

Hex color

#000BE1

RGB(0, 11, 225)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.225.

Address: 0.0.11.225
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.225

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

Musical pitch

Heard as a frequency, 3,041 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +47¢ — about midway to G7)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -16¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +48¢ — about midway to G♯7)

Position in π

The digit sequence 3041 first appears in π at position 6,458 of the decimal expansion (the 6,458ordinal-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 3041 on Pi Search ↗