Live analysis

4,146

4,146 is a composite number, even.

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.).

4,146 (four thousand one hundred forty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 691. Its proper divisors sum to 4,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1032.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,134 4,135 4,136 4,137 4,138 4,139 4,140 4,141 4,142 4,143 4,144 4,145 4,146 4,147 4,148 4,149 4,150 4,151 4,152 4,153 4,154 4,155 4,156 4,157 4,158

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 96
Digital root: 6
Palindrome: No
Bit width: 13 bits
Reversed: 6,414
Recamán's sequence: a(28,784) = 4,146
Square (n²): 17,189,316
Cube (n³): 71,266,904,136
Divisor count: 8
σ(n) — sum of divisors: 8,304
φ(n) — Euler's totient: 1,380
Sum of prime factors: 696

Primality

Prime factorization: 2 × 3 × 691

Nearest primes: 4,139 (−7) · 4,153 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 691 · 1382 · 2073 (half) · 4146

Aliquot sum (sum of proper divisors): 4,158

Factor pairs (a × b = 4,146)

1 × 4146

2 × 2073

3 × 1382

6 × 691

First multiples

4,146 · 8,292 (double) · 12,438 · 16,584 · 20,730 · 24,876 · 29,022 · 33,168 · 37,314 · 41,460

Sums & aliquot sequence

As consecutive integers: 1,381 + 1,382 + 1,383 1,035 + 1,036 + 1,037 + 1,038 340 + 341 + … + 351

Aliquot sequence: 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 → 48,666 → 48,678 → 70,362 → 86,118 → 92,058 → 95,622 → 95,634 → 180,846 — unresolved within range

Continued fraction of √n

√4,146 = [64; (2, 1, 1, 3, 5, 3, 8, 1, 7, 1, 2, 3, 1, 17, 1, 1, 1, 2, 7, 5, 64, 5, 7, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: four thousand one hundred forty-six
Ordinal: 4146th
Binary: 1000000110010
Octal: 10062
Hexadecimal: 0x1032
Base64: EDI=
One's complement: 61,389 (16-bit)
Scientific notation: 4.146 × 10³
As a duration: 4,146 s = 1 hour, 9 minutes, 6 seconds

In other bases

ternary (3) 12200120

quaternary (4) 1000302

quinary (5) 113041

senary (6) 31110

septenary (7) 15042

nonary (9) 5616

undecimal (11) 312a

duodecimal (12) 2496

tridecimal (13) 1b6c

tetradecimal (14) 1722

pentadecimal (15) 1366

As an angle

4,146° = 11 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵δρμϛʹ
Mayan (base 20): 𝋪·𝋧·𝋦
Chinese: 四千一百四十六
Chinese (financial): 肆仟壹佰肆拾陸

In other modern scripts

Eastern Arabic ٤١٤٦ Devanagari ४१४६ Bengali ৪১৪৬ Tamil ௪௧௪௬ Thai ๔๑๔๖ Tibetan ༤༡༤༦ Khmer ៤១៤៦ Lao ໔໑໔໖ Burmese ၄၁၄၆

Digit at this position in famous constants

π — Pi (π): Digit 4,146 = 1
e — Euler's number (e): Digit 4,146 = 4
φ — Golden ratio (φ): Digit 4,146 = 1
√2 — Pythagoras's (√2): Digit 4,146 = 3
ln 2 — Natural log of 2: Digit 4,146 = 6
γ — Euler-Mascheroni (γ): Digit 4,146 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4146, here are decompositions:

7 + 4139 = 4146
13 + 4133 = 4146
17 + 4129 = 4146
19 + 4127 = 4146
47 + 4099 = 4146
53 + 4093 = 4146
67 + 4079 = 4146
73 + 4073 = 4146

Showing the first eight; more decompositions exist.

Unicode codepoint

ဲ

Myanmar Vowel Sign Ai

U+1032

Non-spacing mark (Mn)

UTF-8 encoding: E1 80 B2 (3 bytes).

Lookup U+1032 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001032

RGB(0, 16, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.50.

Address: 0.0.16.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.50

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

Musical pitch

Heard as a frequency, 4,146 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +21¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -15¢)

Position in π

The digit sequence 4146 first appears in π at position 384 of the decimal expansion (the 384ordinal-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 4146 on Pi Search ↗