Live analysis

13,122

13,122 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.).

13,122 (thirteen thousand one hundred twenty-two) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2 × 3⁸. Its proper divisors sum to 16,401, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3342.

Abundant Number Evil Number Frugal Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

13,110 13,111 13,112 13,113 13,114 13,115 13,116 13,117 13,118 13,119 13,120 13,121 13,122 13,123 13,124 13,125 13,126 13,127 13,128 13,129 13,130 13,131 13,132 13,133 13,134

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 12
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 22,131
Recamán's sequence: a(48,031) = 13,122
Square (n²): 172,186,884
Cube (n³): 2,259,436,291,848
Divisor count: 18
σ(n) — sum of divisors: 29,523
φ(n) — Euler's totient: 4,374
Sum of prime factors: 26

Primality

Prime factorization: 2 × 3 ⁸

Nearest primes: 13,121 (−1) · 13,127 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 243 · 486 · 729 · 1458 · 2187 · 4374 · 6561 (half) · 13122

Aliquot sum (sum of proper divisors): 16,401

Factor pairs (a × b = 13,122)

1 × 13122

2 × 6561

3 × 4374

6 × 2187

9 × 1458

18 × 729

27 × 486

54 × 243

81 × 162

First multiples

13,122 · 26,244 (double) · 39,366 · 52,488 · 65,610 · 78,732 · 91,854 · 104,976 · 118,098 · 131,220

Sums & aliquot sequence

As a sum of two squares: 81² + 81²

As consecutive integers: 4,373 + 4,374 + 4,375 3,279 + 3,280 + 3,281 + 3,282 1,454 + 1,455 + … + 1,462 1,088 + 1,089 + … + 1,099

Aliquot sequence: 13,122 → 16,401 → 11,247 → 4,497 → 1,503 → 681 → 231 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,122 = [114; (1, 1, 4, 2, 1, 2, 9, 1, 1, 2, 3, 3, 2, 1, 12, 32, 1, 1, 1, 6, 13, 3, 16, 25, …)]

Representations

In words: thirteen thousand one hundred twenty-two
Ordinal: 13122nd
Binary: 11001101000010
Octal: 31502
Hexadecimal: 0x3342
Base64: M0I=
One's complement: 52,413 (16-bit)
Scientific notation: 1.3122 × 10⁴
As a duration: 13,122 s = 3 hours, 38 minutes, 42 seconds

In other bases

ternary (3) 200000000

quaternary (4) 3031002

quinary (5) 404442

senary (6) 140430

septenary (7) 53154

nonary (9) 20000

undecimal (11) 994a

duodecimal (12) 7716

tridecimal (13) 5c85

tetradecimal (14) 4ad4

pentadecimal (15) 3d4c

As an angle

13,122° = 36 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγρκβʹ
Mayan (base 20): 𝋡·𝋬·𝋰·𝋢
Chinese: 一萬三千一百二十二
Chinese (financial): 壹萬參仟壹佰貳拾貳

In other modern scripts

Eastern Arabic ١٣١٢٢ Devanagari १३१२२ Bengali ১৩১২২ Tamil ௧௩௧௨௨ Thai ๑๓๑๒๒ Tibetan ༡༣༡༢༢ Khmer ១៣១២២ Lao ໑໓໑໒໒ Burmese ၁၃၁၂၂

Digit at this position in famous constants

π — Pi (π): Digit 13,122 = 3
e — Euler's number (e): Digit 13,122 = 8
φ — Golden ratio (φ): Digit 13,122 = 4
√2 — Pythagoras's (√2): Digit 13,122 = 9
ln 2 — Natural log of 2: Digit 13,122 = 6
γ — Euler-Mascheroni (γ): Digit 13,122 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13122, here are decompositions:

13 + 13109 = 13122
19 + 13103 = 13122
23 + 13099 = 13122
29 + 13093 = 13122
59 + 13063 = 13122
73 + 13049 = 13122
79 + 13043 = 13122
89 + 13033 = 13122

Showing the first eight; more decompositions exist.

Unicode codepoint

㍂

Square Hoon

U+3342

Other symbol (So)

UTF-8 encoding: E3 8D 82 (3 bytes).

Lookup U+3342 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003342

RGB(0, 51, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.66.

Address: 0.0.51.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.66

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

Musical pitch

Heard as a frequency, 13,122 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -21¢)

Position in π

The digit sequence 13122 first appears in π at position 30,415 of the decimal expansion (the 30,415ordinal-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 13122 on Pi Search ↗