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133,724

133,724 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.).

133,724 (one hundred thirty-three thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 101 × 331. Written other ways, in hexadecimal, 0x20A5C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
427,331
Square (n²)
17,882,108,176
Cube (n³)
2,391,267,033,727,424
Divisor count
12
σ(n) — sum of divisors
237,048
φ(n) — Euler's totient
66,000
Sum of prime factors
436

Primality

Prime factorization: 2 2 × 101 × 331

Nearest primes: 133,723 (−1) · 133,733 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 101 · 202 · 331 · 404 · 662 · 1324 · 33431 · 66862 (half) · 133724
Aliquot sum (sum of proper divisors): 103,324
Factor pairs (a × b = 133,724)
1 × 133724
2 × 66862
4 × 33431
101 × 1324
202 × 662
331 × 404
First multiples
133,724 · 267,448 (double) · 401,172 · 534,896 · 668,620 · 802,344 · 936,068 · 1,069,792 · 1,203,516 · 1,337,240

Sums & aliquot sequence

As consecutive integers: 16,712 + 16,713 + … + 16,719 1,274 + 1,275 + … + 1,374 239 + 240 + … + 569
Aliquot sequence: 133,724 103,324 91,500 179,316 302,256 544,044 725,420 968,020 1,136,180 1,249,840 1,830,320 2,481,904 2,326,816 2,662,784 2,735,056 2,596,944 5,259,696 — unresolved within range

Continued fraction of √n

√133,724 = [365; (1, 2, 6, 1, 1, 145, 1, 2, 1, 3, 1, 9, 1, 28, 2, 1, 7, 3, 1, 1, 2, 1, 1, 5, …)]

Representations

In words
one hundred thirty-three thousand seven hundred twenty-four
Ordinal
133724th
Binary
100000101001011100
Octal
405134
Hexadecimal
0x20A5C
Base64
Agpc
One's complement
4,294,833,571 (32-bit)
Scientific notation
1.33724 × 10⁵
As a duration
133,724 s = 1 day, 13 hours, 8 minutes, 44 seconds
In other bases
ternary (3) 20210102202
quaternary (4) 200221130
quinary (5) 13234344
senary (6) 2511032
septenary (7) 1064603
nonary (9) 223382
undecimal (11) 91518
duodecimal (12) 65478
tridecimal (13) 48b36
tetradecimal (14) 36a3a
pentadecimal (15) 2994e

As an angle

133,724° = 371 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψκδʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋤
Chinese
一十三萬三千七百二十四
Chinese (financial)
壹拾參萬參仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٣٧٢٤ Devanagari १३३७२४ Bengali ১৩৩৭২৪ Tamil ௧௩௩௭௨௪ Thai ๑๓๓๗๒๔ Tibetan ༡༣༣༧༢༤ Khmer ១៣៣៧២៤ Lao ໑໓໓໗໒໔ Burmese ၁၃၃၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133724, here are decompositions:

  • 7 + 133717 = 133724
  • 13 + 133711 = 133724
  • 67 + 133657 = 133724
  • 127 + 133597 = 133724
  • 181 + 133543 = 133724
  • 277 + 133447 = 133724
  • 307 + 133417 = 133724
  • 337 + 133387 = 133724

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩜
CJK Unified Ideograph-20A5C
U+20A5C
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 9C (4 bytes).

Hex color
#020A5C
RGB(2, 10, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.92.

Address
0.2.10.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.92

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 133,724 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

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