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133,722

133,722 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.).

133,722 (one hundred thirty-three thousand seven hundred twenty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 17 × 19 × 23. Its proper divisors sum to 203,238, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A5A.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
252
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
227,331
Square (n²)
17,881,573,284
Cube (n³)
2,391,159,742,683,048
Divisor count
48
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
38,016
Sum of prime factors
67

Primality

Prime factorization: 2 × 3 2 × 17 × 19 × 23

Nearest primes: 133,717 (−5) · 133,723 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 17 · 18 · 19 · 23 · 34 · 38 · 46 · 51 · 57 · 69 · 102 · 114 · 138 · 153 · 171 · 207 · 306 · 323 · 342 · 391 · 414 · 437 · 646 · 782 · 874 · 969 · 1173 · 1311 · 1938 · 2346 · 2622 · 2907 · 3519 · 3933 · 5814 · 7038 · 7429 · 7866 · 14858 · 22287 · 44574 · 66861 (half) · 133722
Aliquot sum (sum of proper divisors): 203,238
Factor pairs (a × b = 133,722)
1 × 133722
2 × 66861
3 × 44574
6 × 22287
9 × 14858
17 × 7866
18 × 7429
19 × 7038
23 × 5814
34 × 3933
38 × 3519
46 × 2907
51 × 2622
57 × 2346
69 × 1938
102 × 1311
114 × 1173
138 × 969
153 × 874
171 × 782
207 × 646
306 × 437
323 × 414
342 × 391
First multiples
133,722 · 267,444 (double) · 401,166 · 534,888 · 668,610 · 802,332 · 936,054 · 1,069,776 · 1,203,498 · 1,337,220

Sums & aliquot sequence

As consecutive integers: 44,573 + 44,574 + 44,575 33,429 + 33,430 + 33,431 + 33,432 14,854 + 14,855 + … + 14,862 11,138 + 11,139 + … + 11,149
Aliquot sequence: 133,722 203,238 300,330 508,374 613,578 814,614 885,738 1,138,902 1,138,914 1,902,366 2,360,706 2,360,718 2,885,442 4,303,038 4,486,722 4,621,470 8,303,970 — unresolved within range

Continued fraction of √n

√133,722 = [365; (1, 2, 7, 1, 7, 1, 1, 1, 1, 1, 18, 1, 1, 1, 1, 1, 7, 1, 7, 2, 1, 730)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred twenty-two
Ordinal
133722nd
Binary
100000101001011010
Octal
405132
Hexadecimal
0x20A5A
Base64
Agpa
One's complement
4,294,833,573 (32-bit)
Scientific notation
1.33722 × 10⁵
As a duration
133,722 s = 1 day, 13 hours, 8 minutes, 42 seconds
In other bases
ternary (3) 20210102200
quaternary (4) 200221122
quinary (5) 13234342
senary (6) 2511030
septenary (7) 1064601
nonary (9) 223380
undecimal (11) 91516
duodecimal (12) 65476
tridecimal (13) 48b34
tetradecimal (14) 36a38
pentadecimal (15) 2994c
Palindromic in base 7

As an angle

133,722° = 371 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγψκβʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋢
Chinese
一十三萬三千七百二十二
Chinese (financial)
壹拾參萬參仟柒佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٣٧٢٢ Devanagari १३३७२२ Bengali ১৩৩৭২২ Tamil ௧௩௩௭௨௨ Thai ๑๓๓๗๒๒ Tibetan ༡༣༣༧༢༢ Khmer ១៣៣៧២២ Lao ໑໓໓໗໒໒ Burmese ၁၃၃၇၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133722, here are decompositions:

  • 5 + 133717 = 133722
  • 11 + 133711 = 133722
  • 13 + 133709 = 133722
  • 31 + 133691 = 133722
  • 53 + 133669 = 133722
  • 73 + 133649 = 133722
  • 89 + 133633 = 133722
  • 139 + 133583 = 133722

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩚
CJK Unified Ideograph-20A5A
U+20A5A
Other letter (Lo)

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

Hex color
#020A5A
RGB(2, 10, 90)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.90.

Address
0.2.10.90
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.90

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 133,722 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 133722 first appears in π at position 667,362 of the decimal expansion (the 667,362ordinal-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°.