Live analysis

4,041

4,041 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

4,041 (four thousand forty-one) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 449. Written other ways, in binary, 111111001001.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Moran Number Recamán's Sequence

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,029 4,030 4,031 4,032 4,033 4,034 4,035 4,036 4,037 4,038 4,039 4,040 4,041 4,042 4,043 4,044 4,045 4,046 4,047 4,048 4,049 4,050 4,051 4,052 4,053

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Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 1,404
Recamán's sequence: a(14,309) = 4,041
Square (n²): 16,329,681
Cube (n³): 65,988,240,921
Divisor count: 6
σ(n) — sum of divisors: 5,850
φ(n) — Euler's totient: 2,688
Sum of prime factors: 455

Primality

Prime factorization: 3 ² × 449

Nearest primes: 4,027 (−14) · 4,049 (+8)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 449 · 1347 · 4041

Aliquot sum (sum of proper divisors): 1,809

Factor pairs (a × b = 4,041)

1 × 4041

3 × 1347

9 × 449

First multiples

4,041 · 8,082 (double) · 12,123 · 16,164 · 20,205 · 24,246 · 28,287 · 32,328 · 36,369 · 40,410

Sums & aliquot sequence

As a sum of two squares: 21² + 60²

As consecutive integers: 2,020 + 2,021 1,346 + 1,347 + 1,348 671 + 672 + 673 + 674 + 675 + 676 445 + 446 + … + 453

Aliquot sequence: 4,041 → 1,809 → 911 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,041 = [63; (1, 1, 3, 7, 1, 1, 1, 17, 1, 1, 24, 1, 10, 1, 1, 2, 13, 1, 2, 1, 2, 2, 1, 4, …)]

Representations

In words: four thousand forty-one
Ordinal: 4041st
Binary: 111111001001
Octal: 7711
Hexadecimal: 0xFC9
Base64: D8k=
One's complement: 61,494 (16-bit)
Scientific notation: 4.041 × 10³
As a duration: 4,041 s = 1 hour, 7 minutes, 21 seconds

In other bases

ternary (3) 12112200

quaternary (4) 333021

quinary (5) 112131

senary (6) 30413

septenary (7) 14532

nonary (9) 5480

undecimal (11) 3044

duodecimal (12) 2409

tridecimal (13) 1abb

tetradecimal (14) 1689

pentadecimal (15) 12e6

As an angle

4,041° = 11 × 360° + 81°

81° ≈ 1.414 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵δμαʹ
Mayan (base 20): 𝋪·𝋢·𝋡
Chinese: 四千零四十一
Chinese (financial): 肆仟零肆拾壹

In other modern scripts

Eastern Arabic ٤٠٤١ Devanagari ४०४१ Bengali ৪০৪১ Tamil ௪௦௪௧ Thai ๔๐๔๑ Tibetan ༤༠༤༡ Khmer ៤០៤១ Lao ໔໐໔໑ Burmese ၄၀၄၁

Digit at this position in famous constants

π — Pi (π): Digit 4,041 = 5
e — Euler's number (e): Digit 4,041 = 7
φ — Golden ratio (φ): Digit 4,041 = 5
√2 — Pythagoras's (√2): Digit 4,041 = 3
ln 2 — Natural log of 2: Digit 4,041 = 8
γ — Euler-Mascheroni (γ): Digit 4,041 = 7

Also seen as

Unicode codepoint

࿉

Tibetan Symbol Nor Bu

U+0FC9

Other symbol (So)

UTF-8 encoding: E0 BF 89 (3 bytes).

Lookup U+0FC9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FC9

RGB(0, 15, 201)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.201.

Address: 0.0.15.201
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.201

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

Musical pitch

Heard as a frequency, 4,041 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +39¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -23¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +40¢)

Position in π

The digit sequence 4041 first appears in π at position 17,759 of the decimal expansion (the 17,759ordinal-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 4041 on Pi Search ↗