Live analysis

4,059

4,059 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.).

4,059 (four thousand fifty-nine) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 11 × 41. Written other ways, in binary, 111111011011.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

4,047 4,048 4,049 4,050 4,051 4,052 4,053 4,054 4,055 4,056 4,057 4,058 4,059 4,060 4,061 4,062 4,063 4,064 4,065 4,066 4,067 4,068 4,069 4,070 4,071

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 9,504
Recamán's sequence: a(14,273) = 4,059
Square (n²): 16,475,481
Cube (n³): 66,873,977,379
Divisor count: 12
σ(n) — sum of divisors: 6,552
φ(n) — Euler's totient: 2,400
Sum of prime factors: 58

Primality

Prime factorization: 3 ² × 11 × 41

Nearest primes: 4,057 (−2) · 4,073 (+14)

Divisors & multiples

All divisors (12)

1 · 3 · 9 · 11 · 33 · 41 · 99 · 123 · 369 · 451 · 1353 · 4059

Aliquot sum (sum of proper divisors): 2,493

Factor pairs (a × b = 4,059)

1 × 4059

3 × 1353

9 × 451

11 × 369

33 × 123

41 × 99

First multiples

4,059 · 8,118 (double) · 12,177 · 16,236 · 20,295 · 24,354 · 28,413 · 32,472 · 36,531 · 40,590

Sums & aliquot sequence

As consecutive integers: 2,029 + 2,030 1,352 + 1,353 + 1,354 674 + 675 + 676 + 677 + 678 + 679 447 + 448 + … + 455

Aliquot sequence: 4,059 → 2,493 → 1,121 → 79 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,059 = [63; (1, 2, 2, 4, 1, 2, 63, 2, 1, 4, 2, 2, 1, 126)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: four thousand fifty-nine
Ordinal: 4059th
Binary: 111111011011
Octal: 7733
Hexadecimal: 0xFDB
Base64: D9s=
One's complement: 61,476 (16-bit)
Scientific notation: 4.059 × 10³
As a duration: 4,059 s = 1 hour, 7 minutes, 39 seconds

In other bases

ternary (3) 12120100

quaternary (4) 333123

quinary (5) 112214

senary (6) 30443

septenary (7) 14556

nonary (9) 5510

undecimal (11) 3060

duodecimal (12) 2423

tridecimal (13) 1b03

tetradecimal (14) 169d

pentadecimal (15) 1309

As an angle

4,059° = 11 × 360° + 99°

99° ≈ 1.728 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵δνθʹ
Mayan (base 20): 𝋪·𝋢·𝋳
Chinese: 四千零五十九
Chinese (financial): 肆仟零伍拾玖

In other modern scripts

Eastern Arabic ٤٠٥٩ Devanagari ४०५९ Bengali ৪০৫৯ Tamil ௪௦௫௯ Thai ๔๐๕๙ Tibetan ༤༠༥༩ Khmer ៤០៥៩ Lao ໔໐໕໙ Burmese ၄၀၅၉

Digit at this position in famous constants

π — Pi (π): Digit 4,059 = 5
e — Euler's number (e): Digit 4,059 = 4
φ — Golden ratio (φ): Digit 4,059 = 1
√2 — Pythagoras's (√2): Digit 4,059 = 7
ln 2 — Natural log of 2: Digit 4,059 = 2
γ — Euler-Mascheroni (γ): Digit 4,059 = 6

Also seen as

Hex color

#000FDB

RGB(0, 15, 219)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.219.

Address: 0.0.15.219
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.219

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

Musical pitch

Heard as a frequency, 4,059 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +47¢ — about midway to C8)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -16¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +48¢ — about midway to C♯8)

Position in π

The digit sequence 4059 first appears in π at position 15,101 of the decimal expansion (the 15,101ordinal-suffix:st 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 4059 on Pi Search ↗