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133,252

133,252 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.).

133,252 (one hundred thirty-three thousand two hundred fifty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,759. Its proper divisors sum to 133,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20884.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
180
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
252,331
Square (n²)
17,756,095,504
Cube (n³)
2,366,035,238,099,008
Divisor count
12
σ(n) — sum of divisors
266,560
φ(n) — Euler's totient
57,096
Sum of prime factors
4,770

Primality

Prime factorization: 2 2 × 7 × 4759

Nearest primes: 133,241 (−11) · 133,253 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4759 · 9518 · 19036 · 33313 · 66626 (half) · 133252
Aliquot sum (sum of proper divisors): 133,308
Factor pairs (a × b = 133,252)
1 × 133252
2 × 66626
4 × 33313
7 × 19036
14 × 9518
28 × 4759
First multiples
133,252 · 266,504 (double) · 399,756 · 533,008 · 666,260 · 799,512 · 932,764 · 1,066,016 · 1,199,268 · 1,332,520

Sums & aliquot sequence

As consecutive integers: 19,033 + 19,034 + … + 19,039 16,653 + 16,654 + … + 16,660 2,352 + 2,353 + … + 2,407
Aliquot sequence: 133,252 133,308 269,276 281,764 302,876 325,444 339,836 355,684 355,740 917,868 1,590,932 1,648,150 2,074,826 1,276,858 833,606 482,674 241,340 — unresolved within range

Continued fraction of √n

√133,252 = [365; (27, 26, 27, 730)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred fifty-two
Ordinal
133252nd
Binary
100000100010000100
Octal
404204
Hexadecimal
0x20884
Base64
AgiE
One's complement
4,294,834,043 (32-bit)
Scientific notation
1.33252 × 10⁵
As a duration
133,252 s = 1 day, 13 hours, 52 seconds
In other bases
ternary (3) 20202210021
quaternary (4) 200202010
quinary (5) 13231002
senary (6) 2504524
septenary (7) 1063330
nonary (9) 222707
undecimal (11) 91129
duodecimal (12) 65144
tridecimal (13) 48862
tetradecimal (14) 367c0
pentadecimal (15) 29737

As an angle

133,252° = 370 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγσνβʹ
Mayan (base 20)
𝋰·𝋭·𝋢·𝋬
Chinese
一十三萬三千二百五十二
Chinese (financial)
壹拾參萬參仟貳佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٣٢٥٢ Devanagari १३३२५२ Bengali ১৩৩২৫২ Tamil ௧௩௩௨௫௨ Thai ๑๓๓๒๕๒ Tibetan ༡༣༣༢༥༢ Khmer ១៣៣២៥២ Lao ໑໓໓໒໕໒ Burmese ၁၃၃၂၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133252, here are decompositions:

  • 11 + 133241 = 133252
  • 83 + 133169 = 133252
  • 131 + 133121 = 133252
  • 149 + 133103 = 133252
  • 179 + 133073 = 133252
  • 239 + 133013 = 133252
  • 263 + 132989 = 133252
  • 281 + 132971 = 133252

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢄
CJK Unified Ideograph-20884
U+20884
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 84 (4 bytes).

Hex color
#020884
RGB(2, 8, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.132.

Address
0.2.8.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.132

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 133,252 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 133252 first appears in π at position 39,986 of the decimal expansion (the 39,986ordinal-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