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133,064

133,064 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.).

133,064 (one hundred thirty-three thousand sixty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,633. Written other ways, in hexadecimal, 0x207C8.

Deficient Number Odious Number Pernicious Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
460,331
Square (n²)
17,706,028,096
Cube (n³)
2,356,034,922,566,144
Divisor count
8
σ(n) — sum of divisors
249,510
φ(n) — Euler's totient
66,528
Sum of prime factors
16,639

Primality

Prime factorization: 2 3 × 16633

Nearest primes: 133,051 (−13) · 133,069 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16633 · 33266 · 66532 (half) · 133064
Aliquot sum (sum of proper divisors): 116,446
Factor pairs (a × b = 133,064)
1 × 133064
2 × 66532
4 × 33266
8 × 16633
First multiples
133,064 · 266,128 (double) · 399,192 · 532,256 · 665,320 · 798,384 · 931,448 · 1,064,512 · 1,197,576 · 1,330,640

Sums & aliquot sequence

As a sum of two squares: 70² + 358²
As consecutive integers: 8,309 + 8,310 + … + 8,324
Aliquot sequence: 133,064 116,446 79,394 60,574 33,314 16,660 26,432 34,528 39,560 55,480 77,720 105,880 132,440 247,720 361,400 550,000 903,032 — unresolved within range

Continued fraction of √n

√133,064 = [364; (1, 3, 1, 1, 7, 8, 15, 2, 1, 1, 90, 1, 1, 2, 15, 8, 7, 1, 1, 3, 1, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand sixty-four
Ordinal
133064th
Binary
100000011111001000
Octal
403710
Hexadecimal
0x207C8
Base64
AgfI
One's complement
4,294,834,231 (32-bit)
Scientific notation
1.33064 × 10⁵
As a duration
133,064 s = 1 day, 12 hours, 57 minutes, 44 seconds
In other bases
ternary (3) 20202112022
quaternary (4) 200133020
quinary (5) 13224224
senary (6) 2504012
septenary (7) 1062641
nonary (9) 222468
undecimal (11) 90a78
duodecimal (12) 65008
tridecimal (13) 48749
tetradecimal (14) 366c8
pentadecimal (15) 2965e

As an angle

133,064° = 369 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγξδʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋤
Chinese
一十三萬三千零六十四
Chinese (financial)
壹拾參萬參仟零陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٠٦٤ Devanagari १३३०६४ Bengali ১৩৩০৬৪ Tamil ௧௩௩௦௬௪ Thai ๑๓๓๐๖๔ Tibetan ༡༣༣༠༦༤ Khmer ១៣៣០៦៤ Lao ໑໓໓໐໖໔ Burmese ၁၃၃၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133064, here are decompositions:

  • 13 + 133051 = 133064
  • 31 + 133033 = 133064
  • 97 + 132967 = 133064
  • 103 + 132961 = 133064
  • 307 + 132757 = 133064
  • 313 + 132751 = 133064
  • 367 + 132697 = 133064
  • 397 + 132667 = 133064

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟈
CJK Unified Ideograph-207C8
U+207C8
Other letter (Lo)

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

Hex color
#0207C8
RGB(2, 7, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.200.

Address
0.2.7.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.200

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 133,064 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 133064 first appears in π at position 182,814 of the decimal expansion (the 182,814ordinal-suffix:th 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.