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133,056

133,056 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.).

133,056 (one hundred thirty-three thousand fifty-six) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3³ × 7 × 11. Its proper divisors sum to 354,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Heptagonal Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
650,331
Square (n²)
17,703,899,136
Cube (n³)
2,355,610,003,439,616
Divisor count
112
σ(n) — sum of divisors
487,680
φ(n) — Euler's totient
34,560
Sum of prime factors
39

Primality

Prime factorization: 2 6 × 3 3 × 7 × 11

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

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 11 · 12 · 14 · 16 · 18 · 21 · 22 · 24 · 27 · 28 · 32 · 33 · 36 · 42 · 44 · 48 · 54 · 56 · 63 · 64 · 66 · 72 · 77 · 84 · 88 · 96 · 99 · 108 · 112 · 126 · 132 · 144 · 154 · 168 · 176 · 189 · 192 · 198 · 216 · 224 · 231 · 252 · 264 · 288 · 297 · 308 · 336 · 352 · 378 · 396 · 432 · 448 · 462 · 504 · 528 · 576 · 594 · 616 · 672 · 693 · 704 · 756 · 792 · 864 · 924 · 1008 · 1056 · 1188 · 1232 · 1344 · 1386 · 1512 · 1584 · 1728 · 1848 · 2016 · 2079 · 2112 · 2376 · 2464 · 2772 · 3024 · 3168 · 3696 · 4032 · 4158 · 4752 · 4928 · 5544 · 6048 · 6336 · 7392 · 8316 · 9504 · 11088 · 12096 · 14784 · 16632 · 19008 · 22176 · 33264 · 44352 · 66528 (half) · 133056
Aliquot sum (sum of proper divisors): 354,624
Factor pairs (a × b = 133,056)
1 × 133056
2 × 66528
3 × 44352
4 × 33264
6 × 22176
7 × 19008
8 × 16632
9 × 14784
11 × 12096
12 × 11088
14 × 9504
16 × 8316
18 × 7392
21 × 6336
22 × 6048
24 × 5544
27 × 4928
28 × 4752
32 × 4158
33 × 4032
36 × 3696
42 × 3168
44 × 3024
48 × 2772
54 × 2464
56 × 2376
63 × 2112
64 × 2079
66 × 2016
72 × 1848
77 × 1728
84 × 1584
88 × 1512
96 × 1386
99 × 1344
108 × 1232
112 × 1188
126 × 1056
132 × 1008
144 × 924
154 × 864
168 × 792
176 × 756
189 × 704
192 × 693
198 × 672
216 × 616
224 × 594
231 × 576
252 × 528
264 × 504
288 × 462
297 × 448
308 × 432
336 × 396
352 × 378
First multiples
133,056 · 266,112 (double) · 399,168 · 532,224 · 665,280 · 798,336 · 931,392 · 1,064,448 · 1,197,504 · 1,330,560

Sums & aliquot sequence

As consecutive integers: 44,351 + 44,352 + 44,353 19,005 + 19,006 + … + 19,011 14,780 + 14,781 + … + 14,788 12,091 + 12,092 + … + 12,101
Aliquot sequence: 133,056 354,624 584,160 1,257,456 2,385,168 4,400,112 7,480,328 6,584,932 5,322,068 4,028,812 3,021,616 3,401,584 3,417,176 3,974,824 4,542,776 5,617,864 6,705,656 — unresolved within range

Continued fraction of √n

√133,056 = [364; (1, 3, 3, 6, 1, 80, 5, 11, 5, 80, 1, 6, 3, 3, 1, 728)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand fifty-six
Ordinal
133056th
Binary
100000011111000000
Octal
403700
Hexadecimal
0x207C0
Base64
AgfA
One's complement
4,294,834,239 (32-bit)
Scientific notation
1.33056 × 10⁵
As a duration
133,056 s = 1 day, 12 hours, 57 minutes, 36 seconds
In other bases
ternary (3) 20202112000
quaternary (4) 200133000
quinary (5) 13224211
senary (6) 2504000
septenary (7) 1062630
nonary (9) 222460
undecimal (11) 90a70
duodecimal (12) 65000
tridecimal (13) 48741
tetradecimal (14) 366c0
pentadecimal (15) 29656

As an angle

133,056° = 369 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγνϛʹ
Mayan (base 20)
𝋰·𝋬·𝋬·𝋰
Chinese
一十三萬三千零五十六
Chinese (financial)
壹拾參萬參仟零伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٠٥٦ Devanagari १३३०५६ Bengali ১৩৩০৫৬ Tamil ௧௩௩௦௫௬ Thai ๑๓๓๐๕๖ Tibetan ༡༣༣༠༥༦ Khmer ១៣៣០៥៦ Lao ໑໓໓໐໕໖ Burmese ၁၃၃၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133056, here are decompositions:

  • 5 + 133051 = 133056
  • 17 + 133039 = 133056
  • 23 + 133033 = 133056
  • 43 + 133013 = 133056
  • 67 + 132989 = 133056
  • 89 + 132967 = 133056
  • 103 + 132953 = 133056
  • 107 + 132949 = 133056

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟀
CJK Unified Ideograph-207C0
U+207C0
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 80 (4 bytes).

Hex color
#0207C0
RGB(2, 7, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.192.

Address
0.2.7.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.192

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 133,056 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 133056 first appears in π at position 172,822 of the decimal expansion (the 172,822ordinal-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°.