Live analysis

133,000

133,000 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.).

133,000 (one hundred thirty-three thousand) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5³ × 7 × 19. Its proper divisors sum to 241,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20788.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

132,988 132,989 132,990 132,991 132,992 132,993 132,994 132,995 132,996 132,997 132,998 132,999 133,000 133,001 133,002 133,003 133,004 133,005 133,006 133,007 133,008 133,009 133,010 133,011 133,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 18 bits
Reversed: 331
Square (n²): 17,689,000,000
Cube (n³): 2,352,637,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 374,400
φ(n) — Euler's totient: 43,200
Sum of prime factors: 47

Primality

Prime factorization: 2 ³ × 5 ³ × 7 × 19

Nearest primes: 132,989 (−11) · 133,013 (+13)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 19 · 20 · 25 · 28 · 35 · 38 · 40 · 50 · 56 · 70 · 76 · 95 · 100 · 125 · 133 · 140 · 152 · 175 · 190 · 200 · 250 · 266 · 280 · 350 · 380 · 475 · 500 · 532 · 665 · 700 · 760 · 875 · 950 · 1000 · 1064 · 1330 · 1400 · 1750 · 1900 · 2375 · 2660 · 3325 · 3500 · 3800 · 4750 · 5320 · 6650 · 7000 · 9500 · 13300 · 16625 · 19000 · 26600 · 33250 · 66500 (half) · 133000

Aliquot sum (sum of proper divisors): 241,400

Factor pairs (a × b = 133,000)

1 × 133000

2 × 66500

4 × 33250

5 × 26600

7 × 19000

8 × 16625

10 × 13300

14 × 9500

19 × 7000

20 × 6650

25 × 5320

28 × 4750

35 × 3800

38 × 3500

40 × 3325

50 × 2660

56 × 2375

70 × 1900

76 × 1750

95 × 1400

100 × 1330

125 × 1064

133 × 1000

140 × 950

152 × 875

175 × 760

190 × 700

200 × 665

250 × 532

266 × 500

280 × 475

350 × 380

First multiples

133,000 · 266,000 (double) · 399,000 · 532,000 · 665,000 · 798,000 · 931,000 · 1,064,000 · 1,197,000 · 1,330,000

Sums & aliquot sequence

As a sum of two cubes: 20³ + 50³

As consecutive integers: 26,598 + 26,599 + 26,600 + 26,601 + 26,602 18,997 + 18,998 + … + 19,003 8,305 + 8,306 + … + 8,320 6,991 + 6,992 + … + 7,009

Aliquot sequence: 133,000 → 241,400 → 361,240 → 526,520 → 658,240 → 1,165,988 → 922,252 → 691,696 → 727,856 → 682,396 → 721,748 → 541,318 → 270,662 → 193,354 → 144,200 → 242,680 → 303,440 — unresolved within range

Continued fraction of √n

√133,000 = [364; (1, 2, 4, 8, 1, 3, 2, 2, 1, 3, 1, 28, 2, 1, 1, 2, 1, 1, 1, 4, 23, 3, 5, 28, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand
Ordinal: 133000th
Binary: 100000011110001000
Octal: 403610
Hexadecimal: 0x20788
Base64: AgeI
One's complement: 4,294,834,295 (32-bit)
Scientific notation: 1.33 × 10⁵
As a duration: 133,000 s = 1 day, 12 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 20202102221

quaternary (4) 200132020

quinary (5) 13224000

senary (6) 2503424

septenary (7) 1062520

nonary (9) 222387

undecimal (11) 90a1a

duodecimal (12) 64b74

tridecimal (13) 486ca

tetradecimal (14) 36680

pentadecimal (15) 2961a

As an angle

133,000° = 369 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼
Greek (Milesian): ͵ρλγ
Mayan (base 20): 𝋰·𝋬·𝋪·𝋠
Chinese: 一十三萬三千
Chinese (financial): 壹拾參萬參仟

In other modern scripts

Eastern Arabic ١٣٣٠٠٠ Devanagari १३३००० Bengali ১৩৩০০০ Tamil ௧௩௩௦௦௦ Thai ๑๓๓๐๐๐ Tibetan ༡༣༣༠༠༠ Khmer ១៣៣០០០ Lao ໑໓໓໐໐໐ Burmese ၁၃၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133000, here are decompositions:

11 + 132989 = 133000
29 + 132971 = 133000
47 + 132953 = 133000
53 + 132947 = 133000
71 + 132929 = 133000
89 + 132911 = 133000
107 + 132893 = 133000
113 + 132887 = 133000

Showing the first eight; more decompositions exist.

Unicode codepoint

𠞈

CJK Unified Ideograph-20788

U+20788

Other letter (Lo)

UTF-8 encoding: F0 A0 9E 88 (4 bytes).

Lookup U+20788 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020788

RGB(2, 7, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.136.

Address: 0.2.7.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.136

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 133,000 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 US133,000 on Google Patents ↗ Look up on USPTO ↗