Number

3,541

3,541 is a prime, odd.

3,541 (three thousand five hundred 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 MMMDXLI and in binary, 110111010101.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

3,529 3,530 3,531 3,532 3,533 3,534 3,535 3,536 3,537 3,538 3,539 3,540 3,541 3,542 3,543 3,544 3,545 3,546 3,547 3,548 3,549 3,550 3,551 3,552 3,553

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 60
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 1,453
Recamán's sequence: a(14,809) = 3,541
Square (n²): 12,538,681
Cube (n³): 44,399,469,421
Divisor count: 2
σ(n) — sum of divisors: 3,542
φ(n) — Euler's totient: 3,540

Primality

3,541 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3541

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,541)

1 × 3541

First multiples

3,541 · 7,082 (double) · 10,623 · 14,164 · 17,705 · 21,246 · 24,787 · 28,328 · 31,869 · 35,410

Sums & aliquot sequence

As a sum of two squares: 25² + 54²

As consecutive integers: 1,770 + 1,771

Continued fraction of √n

√3,541 = [59; (1, 1, 39, 5, 1, 12, 2, 1, 1, 3, 4, 7, 1, 2, 2, 1, 23, 9, 1, 7, 29, 1, 1, 1, …)]

Representations

In words: three thousand five hundred forty-one
Ordinal: 3541st
Roman numeral: MMMDXLI
Binary: 110111010101
Octal: 6725
Hexadecimal: 0xDD5
Base64: DdU=
One's complement: 61,994 (16-bit)
Scientific notation: 3.541 × 10³
As a duration: 3,541 s = 59 minutes, 1 second

In other bases

ternary (3) 11212011

quaternary (4) 313111

quinary (5) 103131

senary (6) 24221

septenary (7) 13216

nonary (9) 4764

undecimal (11) 272a

duodecimal (12) 2071

tridecimal (13) 17c5

tetradecimal (14) 140d

pentadecimal (15) 10b1

As an angle

3,541° = 9 × 360° + 301°

301° ≈ 5.253 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γφμαʹ
Mayan (base 20): 𝋨·𝋱·𝋡
Chinese: 三千五百四十一
Chinese (financial): 參仟伍佰肆拾壹

In other modern scripts

Eastern Arabic ٣٥٤١ Devanagari ३५४१ Bengali ৩৫৪১ Tamil ௩௫௪௧ Thai ๓๕๔๑ Tibetan ༣༥༤༡ Khmer ៣៥៤១ Lao ໓໕໔໑ Burmese ၃၅၄၁

Digit at this position in famous constants

π — Pi (π): Digit 3,541 = 7
e — Euler's number (e): Digit 3,541 = 5
φ — Golden ratio (φ): Digit 3,541 = 1
√2 — Pythagoras's (√2): Digit 3,541 = 6
ln 2 — Natural log of 2: Digit 3,541 = 1
γ — Euler-Mascheroni (γ): Digit 3,541 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,539 (gap of 2)
Next prime: 3,547 (gap of 6)

Pair status: twin with 3539, sexy with 3547.

Hex color

#000DD5

RGB(0, 13, 213)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.213.

Address: 0.0.13.213
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.213

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

Musical pitch

Heard as a frequency, 3,541 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +48¢ — about midway to A♯7)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, +12¢)

Position in π

The digit sequence 3541 first appears in π at position 18,616 of the decimal expansion (the 18,616ordinal-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 3541 on Pi Search ↗