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133,756

133,756 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.).

133,756 (one hundred thirty-three thousand seven hundred fifty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 281. Its proper divisors sum to 150,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A7C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,890
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
657,331
Square (n²)
17,890,667,536
Cube (n³)
2,392,984,126,945,216
Divisor count
24
σ(n) — sum of divisors
284,256
φ(n) — Euler's totient
53,760
Sum of prime factors
309

Primality

Prime factorization: 2 2 × 7 × 17 × 281

Nearest primes: 133,733 (−23) · 133,769 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 238 · 281 · 476 · 562 · 1124 · 1967 · 3934 · 4777 · 7868 · 9554 · 19108 · 33439 · 66878 (half) · 133756
Aliquot sum (sum of proper divisors): 150,500
Factor pairs (a × b = 133,756)
1 × 133756
2 × 66878
4 × 33439
7 × 19108
14 × 9554
17 × 7868
28 × 4777
34 × 3934
68 × 1967
119 × 1124
238 × 562
281 × 476
First multiples
133,756 · 267,512 (double) · 401,268 · 535,024 · 668,780 · 802,536 · 936,292 · 1,070,048 · 1,203,804 · 1,337,560

Sums & aliquot sequence

As consecutive integers: 19,105 + 19,106 + … + 19,111 16,716 + 16,717 + … + 16,723 7,860 + 7,861 + … + 7,876 2,361 + 2,362 + … + 2,416
Aliquot sequence: 133,756 150,500 233,884 233,940 516,012 860,244 1,827,756 3,453,156 6,715,548 14,217,588 32,747,148 65,139,732 123,042,444 207,006,324 345,010,764 645,990,324 1,107,413,580 — unresolved within range

Continued fraction of √n

√133,756 = [365; (1, 2, 1, 1, 1, 13, 6, 13, 1, 1, 1, 2, 1, 730)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred fifty-six
Ordinal
133756th
Binary
100000101001111100
Octal
405174
Hexadecimal
0x20A7C
Base64
Agp8
One's complement
4,294,833,539 (32-bit)
Scientific notation
1.33756 × 10⁵
As a duration
133,756 s = 1 day, 13 hours, 9 minutes, 16 seconds
In other bases
ternary (3) 20210110221
quaternary (4) 200221330
quinary (5) 13240011
senary (6) 2511124
septenary (7) 1064650
nonary (9) 223427
undecimal (11) 91547
duodecimal (12) 654a4
tridecimal (13) 48b5c
tetradecimal (14) 36a60
pentadecimal (15) 29971

As an angle

133,756° = 371 × 360° + 196°
196° ≈ 3.421 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψνϛʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋰
Chinese
一十三萬三千七百五十六
Chinese (financial)
壹拾參萬參仟柒佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٧٥٦ Devanagari १३३७५६ Bengali ১৩৩৭৫৬ Tamil ௧௩௩௭௫௬ Thai ๑๓๓๗๕๖ Tibetan ༡༣༣༧༥༦ Khmer ១៣៣៧៥៦ Lao ໑໓໓໗໕໖ Burmese ၁၃၃၇၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133756, here are decompositions:

  • 23 + 133733 = 133756
  • 47 + 133709 = 133756
  • 59 + 133697 = 133756
  • 83 + 133673 = 133756
  • 107 + 133649 = 133756
  • 173 + 133583 = 133756
  • 197 + 133559 = 133756
  • 257 + 133499 = 133756

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩼
CJK Unified Ideograph-20A7C
U+20A7C
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 BC (4 bytes).

Hex color
#020A7C
RGB(2, 10, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.124.

Address
0.2.10.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.124

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 133,756 and was likely granted around 1872.

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

Related reading