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133,352

133,352 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.).

133,352 (one hundred thirty-three thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 79 × 211. Written other ways, in hexadecimal, 0x208E8.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
270
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
253,331
Recamán's sequence
a(35,364) = 133,352
Square (n²)
17,782,755,904
Cube (n³)
2,371,366,065,310,208
Divisor count
16
σ(n) — sum of divisors
254,400
φ(n) — Euler's totient
65,520
Sum of prime factors
296

Primality

Prime factorization: 2 3 × 79 × 211

Nearest primes: 133,351 (−1) · 133,379 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 79 · 158 · 211 · 316 · 422 · 632 · 844 · 1688 · 16669 · 33338 · 66676 (half) · 133352
Aliquot sum (sum of proper divisors): 121,048
Factor pairs (a × b = 133,352)
1 × 133352
2 × 66676
4 × 33338
8 × 16669
79 × 1688
158 × 844
211 × 632
316 × 422
First multiples
133,352 · 266,704 (double) · 400,056 · 533,408 · 666,760 · 800,112 · 933,464 · 1,066,816 · 1,200,168 · 1,333,520

Sums & aliquot sequence

As consecutive integers: 8,327 + 8,328 + … + 8,342 1,649 + 1,650 + … + 1,727 527 + 528 + … + 737
Aliquot sequence: 133,352 121,048 105,932 82,564 61,930 59,894 29,950 25,850 27,718 13,862 7,738 4,250 4,174 2,090 2,230 1,802 1,114 — unresolved within range

Continued fraction of √n

√133,352 = [365; (5, 1, 2, 1, 103, 1, 1, 2, 10, 2, 1, 14, 4, 2, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred fifty-two
Ordinal
133352nd
Binary
100000100011101000
Octal
404350
Hexadecimal
0x208E8
Base64
Agjo
One's complement
4,294,833,943 (32-bit)
Scientific notation
1.33352 × 10⁵
As a duration
133,352 s = 1 day, 13 hours, 2 minutes, 32 seconds
In other bases
ternary (3) 20202220222
quaternary (4) 200203220
quinary (5) 13231402
senary (6) 2505212
septenary (7) 1063532
nonary (9) 222828
undecimal (11) 9120a
duodecimal (12) 65208
tridecimal (13) 4890b
tetradecimal (14) 36852
pentadecimal (15) 297a2

As an angle

133,352° = 370 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτνβʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋬
Chinese
一十三萬三千三百五十二
Chinese (financial)
壹拾參萬參仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٥٢ Devanagari १३३३५२ Bengali ১৩৩৩৫২ Tamil ௧௩௩௩௫௨ Thai ๑๓๓๓๕๒ Tibetan ༡༣༣༣༥༢ Khmer ១៣៣៣៥២ Lao ໑໓໓໓໕໒ Burmese ၁၃၃၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133352, here are decompositions:

  • 3 + 133349 = 133352
  • 31 + 133321 = 133352
  • 73 + 133279 = 133352
  • 139 + 133213 = 133352
  • 151 + 133201 = 133352
  • 199 + 133153 = 133352
  • 283 + 133069 = 133352
  • 313 + 133039 = 133352

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣨
CJK Unified Ideograph-208E8
U+208E8
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 A8 (4 bytes).

Hex color
#0208E8
RGB(2, 8, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.232.

Address
0.2.8.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.232

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 133,352 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 133352 first appears in π at position 428,468 of the decimal expansion (the 428,468ordinal-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

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