number.wiki
Live analysis

133,062

133,062 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.).

133,062 (one hundred thirty-three thousand sixty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 67 × 331. Its proper divisors sum to 137,850, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207C6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
260,331
Square (n²)
17,705,495,844
Cube (n³)
2,355,928,687,994,328
Divisor count
16
σ(n) — sum of divisors
270,912
φ(n) — Euler's totient
43,560
Sum of prime factors
403

Primality

Prime factorization: 2 × 3 × 67 × 331

Nearest primes: 133,051 (−11) · 133,069 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 67 · 134 · 201 · 331 · 402 · 662 · 993 · 1986 · 22177 · 44354 · 66531 (half) · 133062
Aliquot sum (sum of proper divisors): 137,850
Factor pairs (a × b = 133,062)
1 × 133062
2 × 66531
3 × 44354
6 × 22177
67 × 1986
134 × 993
201 × 662
331 × 402
First multiples
133,062 · 266,124 (double) · 399,186 · 532,248 · 665,310 · 798,372 · 931,434 · 1,064,496 · 1,197,558 · 1,330,620

Sums & aliquot sequence

As consecutive integers: 44,353 + 44,354 + 44,355 33,264 + 33,265 + 33,266 + 33,267 11,083 + 11,084 + … + 11,094 1,953 + 1,954 + … + 2,019
Aliquot sequence: 133,062 137,850 204,390 341,370 546,426 678,336 1,116,936 1,986,264 4,282,596 6,605,736 10,479,864 15,815,256 23,722,944 51,867,456 85,365,696 168,618,048 278,877,120 — unresolved within range

Continued fraction of √n

√133,062 = [364; (1, 3, 2, 10, 2, 3, 1, 728)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand sixty-two
Ordinal
133062nd
Binary
100000011111000110
Octal
403706
Hexadecimal
0x207C6
Base64
AgfG
One's complement
4,294,834,233 (32-bit)
Scientific notation
1.33062 × 10⁵
As a duration
133,062 s = 1 day, 12 hours, 57 minutes, 42 seconds
In other bases
ternary (3) 20202112020
quaternary (4) 200133012
quinary (5) 13224222
senary (6) 2504010
septenary (7) 1062636
nonary (9) 222466
undecimal (11) 90a76
duodecimal (12) 65006
tridecimal (13) 48747
tetradecimal (14) 366c6
pentadecimal (15) 2965c

As an angle

133,062° = 369 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγξβʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋢
Chinese
一十三萬三千零六十二
Chinese (financial)
壹拾參萬參仟零陸拾貳
In other modern scripts
Eastern Arabic ١٣٣٠٦٢ Devanagari १३३०६२ Bengali ১৩৩০৬২ Tamil ௧௩௩௦௬௨ Thai ๑๓๓๐๖๒ Tibetan ༡༣༣༠༦༢ Khmer ១៣៣០៦២ Lao ໑໓໓໐໖໒ Burmese ၁၃၃၀၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133062, here are decompositions:

  • 11 + 133051 = 133062
  • 23 + 133039 = 133062
  • 29 + 133033 = 133062
  • 73 + 132989 = 133062
  • 101 + 132961 = 133062
  • 109 + 132953 = 133062
  • 113 + 132949 = 133062
  • 151 + 132911 = 133062

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟆
CJK Unified Ideograph-207C6
U+207C6
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 86 (4 bytes).

Hex color
#0207C6
RGB(2, 7, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.198.

Address
0.2.7.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.198

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 133,062 and was likely granted around 1872.

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

Position in π

The digit sequence 133062 first appears in π at position 989,782 of the decimal expansion (the 989,782ordinal-suffix:nd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.