Live analysis

13,100

13,100 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.).

13,100 (thirteen thousand one hundred) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 131. Its proper divisors sum to 15,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x332C.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,088 13,089 13,090 13,091 13,092 13,093 13,094 13,095 13,096 13,097 13,098 13,099 13,100 13,101 13,102 13,103 13,104 13,105 13,106 13,107 13,108 13,109 13,110 13,111 13,112

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 131
Recamán's sequence: a(48,075) = 13,100
Square (n²): 171,610,000
Cube (n³): 2,248,091,000,000
Divisor count: 18
σ(n) — sum of divisors: 28,644
φ(n) — Euler's totient: 5,200
Sum of prime factors: 145

Primality

Prime factorization: 2 ² × 5 ² × 131

Nearest primes: 13,099 (−1) · 13,103 (+3)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 131 · 262 · 524 · 655 · 1310 · 2620 · 3275 · 6550 (half) · 13100

Aliquot sum (sum of proper divisors): 15,544

Factor pairs (a × b = 13,100)

1 × 13100

2 × 6550

4 × 3275

5 × 2620

10 × 1310

20 × 655

25 × 524

50 × 262

100 × 131

First multiples

13,100 · 26,200 (double) · 39,300 · 52,400 · 65,500 · 78,600 · 91,700 · 104,800 · 117,900 · 131,000

Sums & aliquot sequence

As consecutive integers: 2,618 + 2,619 + 2,620 + 2,621 + 2,622 1,634 + 1,635 + … + 1,641 512 + 513 + … + 536 308 + 309 + … + 347

Aliquot sequence: 13,100 → 15,544 → 15,056 → 14,146 → 9,038 → 4,522 → 4,118 → 2,362 → 1,184 → 1,210 → 1,184 — enters a cycle

Continued fraction of √n

√13,100 = [114; (2, 5, 11, 1, 6, 2, 6, 1, 11, 5, 2, 228)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand one hundred
Ordinal: 13100th
Binary: 11001100101100
Octal: 31454
Hexadecimal: 0x332C
Base64: Myw=
One's complement: 52,435 (16-bit)
Scientific notation: 1.31 × 10⁴
As a duration: 13,100 s = 3 hours, 38 minutes, 20 seconds

In other bases

ternary (3) 122222012

quaternary (4) 3030230

quinary (5) 404400

senary (6) 140352

septenary (7) 53123

nonary (9) 18865

undecimal (11) 992a

duodecimal (12) 76b8

tridecimal (13) 5c69

tetradecimal (14) 4aba

pentadecimal (15) 3d35

As an angle

13,100° = 36 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢
Greek (Milesian): ͵ιγρʹ
Mayan (base 20): 𝋡·𝋬·𝋯·𝋠
Chinese: 一萬三千一百
Chinese (financial): 壹萬參仟壹佰

In other modern scripts

Eastern Arabic ١٣١٠٠ Devanagari १३१०० Bengali ১৩১০০ Tamil ௧௩௧௦௦ Thai ๑๓๑๐๐ Tibetan ༡༣༡༠༠ Khmer ១៣១០០ Lao ໑໓໑໐໐ Burmese ၁၃၁၀၀

Digit at this position in famous constants

π — Pi (π): Digit 13,100 = 7
e — Euler's number (e): Digit 13,100 = 1
φ — Golden ratio (φ): Digit 13,100 = 7
√2 — Pythagoras's (√2): Digit 13,100 = 0
ln 2 — Natural log of 2: Digit 13,100 = 6
γ — Euler-Mascheroni (γ): Digit 13,100 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13100, here are decompositions:

7 + 13093 = 13100
37 + 13063 = 13100
67 + 13033 = 13100
97 + 13003 = 13100
127 + 12973 = 13100
181 + 12919 = 13100
193 + 12907 = 13100
211 + 12889 = 13100

Showing the first eight; more decompositions exist.

Unicode codepoint

㌬

Square Paatu

U+332C

Other symbol (So)

UTF-8 encoding: E3 8C AC (3 bytes).

Lookup U+332C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00332C

RGB(0, 51, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.44.

Address: 0.0.51.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.44

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

Musical pitch

Heard as a frequency, 13,100 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -25¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -24¢)

Position in π

The digit sequence 13100 first appears in π at position 90,881 of the decimal expansion (the 90,881ordinal-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 13100 on Pi Search ↗