Live analysis

133,992

133,992 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.).

133,992 (one hundred thirty-three thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,861. Its proper divisors sum to 229,098, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B68.

Abundant Number Gapful Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

133,980 133,981 133,982 133,983 133,984 133,985 133,986 133,987 133,988 133,989 133,990 133,991 133,992 133,993 133,994 133,995 133,996 133,997 133,998 133,999 134,000 134,001 134,002 134,003 134,004

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 1,458
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 299,331
Square (n²): 17,953,856,064
Cube (n³): 2,405,673,081,727,488
Divisor count: 24
σ(n) — sum of divisors: 363,090
φ(n) — Euler's totient: 44,640
Sum of prime factors: 1,873

Primality

Prime factorization: 2 ³ × 3 ² × 1861

Nearest primes: 133,981 (−11) · 133,993 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1861 · 3722 · 5583 · 7444 · 11166 · 14888 · 16749 · 22332 · 33498 · 44664 · 66996 (half) · 133992

Aliquot sum (sum of proper divisors): 229,098

Factor pairs (a × b = 133,992)

1 × 133992

2 × 66996

3 × 44664

4 × 33498

6 × 22332

8 × 16749

9 × 14888

12 × 11166

18 × 7444

24 × 5583

36 × 3722

72 × 1861

First multiples

133,992 · 267,984 (double) · 401,976 · 535,968 · 669,960 · 803,952 · 937,944 · 1,071,936 · 1,205,928 · 1,339,920

Sums & aliquot sequence

As a sum of two squares: 6² + 366²

As consecutive integers: 44,663 + 44,664 + 44,665 14,884 + 14,885 + … + 14,892 8,367 + 8,368 + … + 8,382 2,768 + 2,769 + … + 2,815

Aliquot sequence: 133,992 → 229,098 → 229,110 → 399,882 → 514,230 → 744,618 → 957,462 → 1,167,978 → 1,501,782 → 1,517,658 → 1,696,422 → 2,519,898 → 2,536,422 → 3,318,042 → 5,068,518 → 7,409,178 → 12,531,942 — unresolved within range

Continued fraction of √n

√133,992 = [366; (20, 2, 1, 80, 1, 2, 20, 732)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand nine hundred ninety-two
Ordinal: 133992nd
Binary: 100000101101101000
Octal: 405550
Hexadecimal: 0x20B68
Base64: Agto
One's complement: 4,294,833,303 (32-bit)
Scientific notation: 1.33992 × 10⁵
As a duration: 133,992 s = 1 day, 13 hours, 13 minutes, 12 seconds

In other bases

ternary (3) 20210210200

quaternary (4) 200231220

quinary (5) 13241432

senary (6) 2512200

septenary (7) 1065435

nonary (9) 223720

undecimal (11) 91741

duodecimal (12) 65660

tridecimal (13) 48cb1

tetradecimal (14) 36b8c

pentadecimal (15) 29a7c

As an angle

133,992° = 372 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλγϡϟβʹ
Mayan (base 20): 𝋰·𝋮·𝋳·𝋬
Chinese: 一十三萬三千九百九十二
Chinese (financial): 壹拾參萬參仟玖佰玖拾貳

In other modern scripts

Eastern Arabic ١٣٣٩٩٢ Devanagari १३३९९२ Bengali ১৩৩৯৯২ Tamil ௧௩௩௯௯௨ Thai ๑๓๓๙๙๒ Tibetan ༡༣༣༩༩༢ Khmer ១៣៣៩៩២ Lao ໑໓໓໙໙໒ Burmese ၁၃၃၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133992, here are decompositions:

11 + 133981 = 133992
13 + 133979 = 133992
29 + 133963 = 133992
43 + 133949 = 133992
73 + 133919 = 133992
139 + 133853 = 133992
149 + 133843 = 133992
179 + 133813 = 133992

Showing the first eight; more decompositions exist.

Unicode codepoint

𠭨

CJK Unified Ideograph-20B68

U+20B68

Other letter (Lo)

UTF-8 encoding: F0 A0 AD A8 (4 bytes).

Lookup U+20B68 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020B68

RGB(2, 11, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.104.

Address: 0.2.11.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.11.104

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 133,992 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 US133,992 on Google Patents ↗ Look up on USPTO ↗