Live analysis

133,998

133,998 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.).

133,998 (one hundred thirty-three thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 23 × 971. Its proper divisors sum to 145,938, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B6E.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

133,986 133,987 133,988 133,989 133,990 133,991 133,992 133,993 133,994 133,995 133,996 133,997 133,998 133,999 134,000 134,001 134,002 134,003 134,004 134,005 134,006 134,007 134,008 134,009 134,010

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 5,832
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 899,331
Square (n²): 17,955,464,004
Cube (n³): 2,405,996,265,607,992
Divisor count: 16
σ(n) — sum of divisors: 279,936
φ(n) — Euler's totient: 42,680
Sum of prime factors: 999

Primality

Prime factorization: 2 × 3 × 23 × 971

Nearest primes: 133,993 (−5) · 133,999 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 23 · 46 · 69 · 138 · 971 · 1942 · 2913 · 5826 · 22333 · 44666 · 66999 (half) · 133998

Aliquot sum (sum of proper divisors): 145,938

Factor pairs (a × b = 133,998)

1 × 133998

2 × 66999

3 × 44666

6 × 22333

23 × 5826

46 × 2913

69 × 1942

138 × 971

First multiples

133,998 · 267,996 (double) · 401,994 · 535,992 · 669,990 · 803,988 · 937,986 · 1,071,984 · 1,205,982 · 1,339,980

Sums & aliquot sequence

As consecutive integers: 44,665 + 44,666 + 44,667 33,498 + 33,499 + 33,500 + 33,501 11,161 + 11,162 + … + 11,172 5,815 + 5,816 + … + 5,837

Aliquot sequence: 133,998 → 145,938 → 168,558 → 194,658 → 194,670 → 404,370 → 647,226 → 790,938 → 996,582 → 1,010,778 → 1,010,790 → 1,858,986 → 2,203,254 → 2,692,986 → 2,733,414 → 2,787,738 → 3,030,438 — unresolved within range

Continued fraction of √n

√133,998 = [366; (17, 2, 3, 14, 1, 1, 1, 8, 3, 1, 2, 1, 1, 5, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, …)]

Representations

In words: one hundred thirty-three thousand nine hundred ninety-eight
Ordinal: 133998th
Binary: 100000101101101110
Octal: 405556
Hexadecimal: 0x20B6E
Base64: Agtu
One's complement: 4,294,833,297 (32-bit)
Scientific notation: 1.33998 × 10⁵
As a duration: 133,998 s = 1 day, 13 hours, 13 minutes, 18 seconds

In other bases

ternary (3) 20210210220

quaternary (4) 200231232

quinary (5) 13241443

senary (6) 2512210

septenary (7) 1065444

nonary (9) 223726

undecimal (11) 91747

duodecimal (12) 65666

tridecimal (13) 48cb7

tetradecimal (14) 36b94

pentadecimal (15) 29a83

As an angle

133,998° = 372 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλγϡϟηʹ
Mayan (base 20): 𝋰·𝋮·𝋳·𝋲
Chinese: 一十三萬三千九百九十八
Chinese (financial): 壹拾參萬參仟玖佰玖拾捌

In other modern scripts

Eastern Arabic ١٣٣٩٩٨ Devanagari १३३९९८ Bengali ১৩৩৯৯৮ Tamil ௧௩௩௯௯௮ Thai ๑๓๓๙๙๘ Tibetan ༡༣༣༩༩༨ Khmer ១៣៣៩៩៨ Lao ໑໓໓໙໙໘ Burmese ၁၃၃၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133998, here are decompositions:

5 + 133993 = 133998
17 + 133981 = 133998
19 + 133979 = 133998
31 + 133967 = 133998
79 + 133919 = 133998
167 + 133831 = 133998
197 + 133801 = 133998
229 + 133769 = 133998

Showing the first eight; more decompositions exist.

Unicode codepoint

𠭮

CJK Unified Ideograph-20B6E

U+20B6E

Other letter (Lo)

UTF-8 encoding: F0 A0 AD AE (4 bytes).

Lookup U+20B6E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020B6E

RGB(2, 11, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.110.

Address: 0.2.11.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.11.110

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 133,998 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 US133,998 on Google Patents ↗ Look up on USPTO ↗