Live analysis

13,146

13,146 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.).

13,146 (thirteen thousand one hundred forty-six) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 313. Its proper divisors sum to 16,998, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x335A.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,134 13,135 13,136 13,137 13,138 13,139 13,140 13,141 13,142 13,143 13,144 13,145 13,146 13,147 13,148 13,149 13,150 13,151 13,152 13,153 13,154 13,155 13,156 13,157 13,158

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 72
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 64,131
Recamán's sequence: a(47,983) = 13,146
Square (n²): 172,817,316
Cube (n³): 2,271,856,436,136
Divisor count: 16
σ(n) — sum of divisors: 30,144
φ(n) — Euler's totient: 3,744
Sum of prime factors: 325

Primality

Prime factorization: 2 × 3 × 7 × 313

Nearest primes: 13,127 (−19) · 13,147 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 313 · 626 · 939 · 1878 · 2191 · 4382 · 6573 (half) · 13146

Aliquot sum (sum of proper divisors): 16,998

Factor pairs (a × b = 13,146)

1 × 13146

2 × 6573

3 × 4382

6 × 2191

7 × 1878

14 × 939

21 × 626

42 × 313

First multiples

13,146 · 26,292 (double) · 39,438 · 52,584 · 65,730 · 78,876 · 92,022 · 105,168 · 118,314 · 131,460

Sums & aliquot sequence

As consecutive integers: 4,381 + 4,382 + 4,383 3,285 + 3,286 + 3,287 + 3,288 1,875 + 1,876 + … + 1,881 1,090 + 1,091 + … + 1,101

Aliquot sequence: 13,146 → 16,998 → 17,010 → 35,406 → 52,578 → 67,230 → 115,722 → 141,558 → 141,570 → 294,138 → 411,462 → 480,078 → 572,922 → 846,054 → 1,154,178 → 1,415,610 → 3,016,710 — unresolved within range

Continued fraction of √n

√13,146 = [114; (1, 1, 1, 9, 1, 3, 8, 1, 1, 3, 2, 2, 1, 5, 5, 1, 6, 9, 38, 9, 6, 1, 5, 5, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand one hundred forty-six
Ordinal: 13146th
Binary: 11001101011010
Octal: 31532
Hexadecimal: 0x335A
Base64: M1o=
One's complement: 52,389 (16-bit)
Scientific notation: 1.3146 × 10⁴
As a duration: 13,146 s = 3 hours, 39 minutes, 6 seconds

In other bases

ternary (3) 200000220

quaternary (4) 3031122

quinary (5) 410041

senary (6) 140510

septenary (7) 53220

nonary (9) 20026

undecimal (11) 9971

duodecimal (12) 7736

tridecimal (13) 5ca3

tetradecimal (14) 4b10

pentadecimal (15) 3d66

As an angle

13,146° = 36 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγρμϛʹ
Mayan (base 20): 𝋡·𝋬·𝋱·𝋦
Chinese: 一萬三千一百四十六
Chinese (financial): 壹萬參仟壹佰肆拾陸

In other modern scripts

Eastern Arabic ١٣١٤٦ Devanagari १३१४६ Bengali ১৩১৪৬ Tamil ௧௩௧௪௬ Thai ๑๓๑๔๖ Tibetan ༡༣༡༤༦ Khmer ១៣១៤៦ Lao ໑໓໑໔໖ Burmese ၁၃၁၄၆

Digit at this position in famous constants

π — Pi (π): Digit 13,146 = 5
e — Euler's number (e): Digit 13,146 = 1
φ — Golden ratio (φ): Digit 13,146 = 4
√2 — Pythagoras's (√2): Digit 13,146 = 6
ln 2 — Natural log of 2: Digit 13,146 = 6
γ — Euler-Mascheroni (γ): Digit 13,146 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13146, here are decompositions:

19 + 13127 = 13146
37 + 13109 = 13146
43 + 13103 = 13146
47 + 13099 = 13146
53 + 13093 = 13146
83 + 13063 = 13146
97 + 13049 = 13146
103 + 13043 = 13146

Showing the first eight; more decompositions exist.

Unicode codepoint

㍚

Ideographic Telegraph Symbol For Hour Two

U+335A

Other symbol (So)

UTF-8 encoding: E3 8D 9A (3 bytes).

Lookup U+335A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00335A

RGB(0, 51, 90)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.90.

Address: 0.0.51.90
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.90

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

Musical pitch

Heard as a frequency, 13,146 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -19¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +19¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -18¢)

Position in π

The digit sequence 13146 first appears in π at position 12,915 of the decimal expansion (the 12,915ordinal-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 13146 on Pi Search ↗