Live analysis

13,026

13,026 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.).

13,026 (thirteen thousand twenty-six) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 167. Its proper divisors sum to 15,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x32E2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,014 13,015 13,016 13,017 13,018 13,019 13,020 13,021 13,022 13,023 13,024 13,025 13,026 13,027 13,028 13,029 13,030 13,031 13,032 13,033 13,034 13,035 13,036 13,037 13,038

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 62,031
Recamán's sequence: a(48,223) = 13,026
Square (n²): 169,676,676
Cube (n³): 2,210,208,381,576
Divisor count: 16
σ(n) — sum of divisors: 28,224
φ(n) — Euler's totient: 3,984
Sum of prime factors: 185

Primality

Prime factorization: 2 × 3 × 13 × 167

Nearest primes: 13,009 (−17) · 13,033 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 167 · 334 · 501 · 1002 · 2171 · 4342 · 6513 (half) · 13026

Aliquot sum (sum of proper divisors): 15,198

Factor pairs (a × b = 13,026)

1 × 13026

2 × 6513

3 × 4342

6 × 2171

13 × 1002

26 × 501

39 × 334

78 × 167

First multiples

13,026 · 26,052 (double) · 39,078 · 52,104 · 65,130 · 78,156 · 91,182 · 104,208 · 117,234 · 130,260

Sums & aliquot sequence

As consecutive integers: 4,341 + 4,342 + 4,343 3,255 + 3,256 + 3,257 + 3,258 1,080 + 1,081 + … + 1,091 996 + 997 + … + 1,008

Aliquot sequence: 13,026 → 15,198 → 17,202 → 18,510 → 25,986 → 27,582 → 27,594 → 43,446 → 50,298 → 52,518 → 52,530 → 82,254 → 82,266 → 82,278 → 121,770 → 241,110 → 450,090 — unresolved within range

Continued fraction of √n

√13,026 = [114; (7, 1, 1, 1, 1, 8, 1, 1, 9, 2, 1, 1, 12, 1, 4, 1, 12, 1, 1, 2, 9, 1, 1, 8, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand twenty-six
Ordinal: 13026th
Binary: 11001011100010
Octal: 31342
Hexadecimal: 0x32E2
Base64: MuI=
One's complement: 52,509 (16-bit)
Scientific notation: 1.3026 × 10⁴
As a duration: 13,026 s = 3 hours, 37 minutes, 6 seconds

In other bases

ternary (3) 122212110

quaternary (4) 3023202

quinary (5) 404101

senary (6) 140150

septenary (7) 52656

nonary (9) 18773

undecimal (11) 9872

duodecimal (12) 7656

tridecimal (13) 5c10

tetradecimal (14) 4a66

pentadecimal (15) 3cd6

As an angle

13,026° = 36 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγκϛʹ
Mayan (base 20): 𝋡·𝋬·𝋫·𝋦
Chinese: 一萬三千零二十六
Chinese (financial): 壹萬參仟零貳拾陸

In other modern scripts

Eastern Arabic ١٣٠٢٦ Devanagari १३०२६ Bengali ১৩০২৬ Tamil ௧௩௦௨௬ Thai ๑๓๐๒๖ Tibetan ༡༣༠༢༦ Khmer ១៣០២៦ Lao ໑໓໐໒໖ Burmese ၁၃၀၂၆

Digit at this position in famous constants

π — Pi (π): Digit 13,026 = 6
e — Euler's number (e): Digit 13,026 = 1
φ — Golden ratio (φ): Digit 13,026 = 2
√2 — Pythagoras's (√2): Digit 13,026 = 2
ln 2 — Natural log of 2: Digit 13,026 = 4
γ — Euler-Mascheroni (γ): Digit 13,026 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13026, here are decompositions:

17 + 13009 = 13026
19 + 13007 = 13026
23 + 13003 = 13026
43 + 12983 = 13026
47 + 12979 = 13026
53 + 12973 = 13026
59 + 12967 = 13026
67 + 12959 = 13026

Showing the first eight; more decompositions exist.

Unicode codepoint

㋢

Circled Katakana Te

U+32E2

Other symbol (So)

UTF-8 encoding: E3 8B A2 (3 bytes).

Lookup U+32E2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032E2

RGB(0, 50, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.226.

Address: 0.0.50.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.226

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

Musical pitch

Heard as a frequency, 13,026 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -35¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -33¢)

Position in π

The digit sequence 13026 first appears in π at position 161,060 of the decimal expansion (the 161,060ordinal-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 13026 on Pi Search ↗