Live analysis

131,316

131,316 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.).

131,316 (one hundred thirty-one thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 353. Its proper divisors sum to 185,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x200F4.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

131,304 131,305 131,306 131,307 131,308 131,309 131,310 131,311 131,312 131,313 131,314 131,315 131,316 131,317 131,318 131,319 131,320 131,321 131,322 131,323 131,324 131,325 131,326 131,327 131,328

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 54
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 613,131
Recamán's sequence: a(24,387) = 131,316
Square (n²): 17,243,891,856
Cube (n³): 2,264,398,902,962,496
Divisor count: 24
σ(n) — sum of divisors: 317,184
φ(n) — Euler's totient: 42,240
Sum of prime factors: 391

Primality

Prime factorization: 2 ² × 3 × 31 × 353

Nearest primes: 131,311 (−5) · 131,317 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 353 · 372 · 706 · 1059 · 1412 · 2118 · 4236 · 10943 · 21886 · 32829 · 43772 · 65658 (half) · 131316

Aliquot sum (sum of proper divisors): 185,868

Factor pairs (a × b = 131,316)

1 × 131316

2 × 65658

3 × 43772

4 × 32829

6 × 21886

12 × 10943

31 × 4236

62 × 2118

93 × 1412

124 × 1059

186 × 706

353 × 372

First multiples

131,316 · 262,632 (double) · 393,948 · 525,264 · 656,580 · 787,896 · 919,212 · 1,050,528 · 1,181,844 · 1,313,160

Sums & aliquot sequence

As consecutive integers: 43,771 + 43,772 + 43,773 16,411 + 16,412 + … + 16,418 5,460 + 5,461 + … + 5,483 4,221 + 4,222 + … + 4,251

Aliquot sequence: 131,316 → 185,868 → 296,292 → 395,084 → 312,700 → 390,380 → 441,220 → 557,204 → 417,910 → 378,410 → 312,790 → 268,970 → 252,670 → 243,698 → 213,070 → 240,530 → 200,110 — unresolved within range

Continued fraction of √n

√131,316 = [362; (2, 1, 1, 1, 30, 1, 7, 1, 3, 4, 2, 1, 3, 1, 1, 1, 5, 1, 1, 1, 1, 5, 2, 1, …)]

Representations

In words: one hundred thirty-one thousand three hundred sixteen
Ordinal: 131316th
Binary: 100000000011110100
Octal: 400364
Hexadecimal: 0x200F4
Base64: AgD0
One's complement: 4,294,835,979 (32-bit)
Scientific notation: 1.31316 × 10⁵
As a duration: 131,316 s = 1 day, 12 hours, 28 minutes, 36 seconds

In other bases

ternary (3) 20200010120

quaternary (4) 200003310

quinary (5) 13200231

senary (6) 2451540

septenary (7) 1054563

nonary (9) 220116

undecimal (11) 8a729

duodecimal (12) 63bb0

tridecimal (13) 47a03

tetradecimal (14) 35bda

pentadecimal (15) 28d96

Palindromic in base 5

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλατιϛʹ
Mayan (base 20): 𝋰·𝋨·𝋥·𝋰
Chinese: 一十三萬一千三百一十六
Chinese (financial): 壹拾參萬壹仟參佰壹拾陸

In other modern scripts

Eastern Arabic ١٣١٣١٦ Devanagari १३१३१६ Bengali ১৩১৩১৬ Tamil ௧௩௧௩௧௬ Thai ๑๓๑๓๑๖ Tibetan ༡༣༡༣༡༦ Khmer ១៣១៣១៦ Lao ໑໓໑໓໑໖ Burmese ၁၃၁၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131316, here are decompositions:

5 + 131311 = 131316
13 + 131303 = 131316
19 + 131297 = 131316
23 + 131293 = 131316
67 + 131249 = 131316
103 + 131213 = 131316
113 + 131203 = 131316
167 + 131149 = 131316

Showing the first eight; more decompositions exist.

Unicode codepoint

𠃴

CJK Unified Ideograph-200F4

U+200F4

Other letter (Lo)

UTF-8 encoding: F0 A0 83 B4 (4 bytes).

Lookup U+200F4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0200F4

RGB(2, 0, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.244.

Address: 0.2.0.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.0.244

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,316 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US131,316 on Google Patents ↗ Look up on USPTO ↗