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133,610

133,610 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.).

133,610 (one hundred thirty-three thousand six hundred ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 31 × 431. Written other ways, in hexadecimal, 0x209EA.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
16,331
Square (n²)
17,851,632,100
Cube (n³)
2,385,156,564,881,000
Divisor count
16
σ(n) — sum of divisors
248,832
φ(n) — Euler's totient
51,600
Sum of prime factors
469

Primality

Prime factorization: 2 × 5 × 31 × 431

Nearest primes: 133,597 (−13) · 133,631 (+21)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 31 · 62 · 155 · 310 · 431 · 862 · 2155 · 4310 · 13361 · 26722 · 66805 (half) · 133610
Aliquot sum (sum of proper divisors): 115,222
Factor pairs (a × b = 133,610)
1 × 133610
2 × 66805
5 × 26722
10 × 13361
31 × 4310
62 × 2155
155 × 862
310 × 431
First multiples
133,610 · 267,220 (double) · 400,830 · 534,440 · 668,050 · 801,660 · 935,270 · 1,068,880 · 1,202,490 · 1,336,100

Sums & aliquot sequence

As consecutive integers: 33,401 + 33,402 + 33,403 + 33,404 26,720 + 26,721 + 26,722 + 26,723 + 26,724 6,671 + 6,672 + … + 6,690 4,295 + 4,296 + … + 4,325
Aliquot sequence: 133,610 115,222 61,034 30,520 48,680 60,940 79,172 59,386 33,638 22,222 12,050 10,456 9,164 7,636 6,476 4,864 5,356 — unresolved within range

Continued fraction of √n

√133,610 = [365; (1, 1, 8, 1, 3, 17, 1, 1, 2, 1, 7, 1, 3, 1, 1, 1, 9, 4, 4, 1, 1, 72, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred ten
Ordinal
133610th
Binary
100000100111101010
Octal
404752
Hexadecimal
0x209EA
Base64
Agnq
One's complement
4,294,833,685 (32-bit)
Scientific notation
1.3361 × 10⁵
As a duration
133,610 s = 1 day, 13 hours, 6 minutes, 50 seconds
In other bases
ternary (3) 20210021112
quaternary (4) 200213222
quinary (5) 13233420
senary (6) 2510322
septenary (7) 1064351
nonary (9) 223245
undecimal (11) 91424
duodecimal (12) 653a2
tridecimal (13) 48a79
tetradecimal (14) 36998
pentadecimal (15) 298c5

As an angle

133,610° = 371 × 360° + 50°
50° ≈ 0.873 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλγχιʹ
Mayan (base 20)
𝋰·𝋮·𝋠·𝋪
Chinese
一十三萬三千六百一十
Chinese (financial)
壹拾參萬參仟陸佰壹拾
In other modern scripts
Eastern Arabic ١٣٣٦١٠ Devanagari १३३६१० Bengali ১৩৩৬১০ Tamil ௧௩௩௬௧௦ Thai ๑๓๓๖๑๐ Tibetan ༡༣༣༦༡༠ Khmer ១៣៣៦១០ Lao ໑໓໓໖໑໐ Burmese ၁၃၃၆၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133610, here are decompositions:

  • 13 + 133597 = 133610
  • 67 + 133543 = 133610
  • 163 + 133447 = 133610
  • 193 + 133417 = 133610
  • 223 + 133387 = 133610
  • 283 + 133327 = 133610
  • 307 + 133303 = 133610
  • 331 + 133279 = 133610

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧪
CJK Unified Ideograph-209Ea
U+209EA
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 AA (4 bytes).

Hex color
#0209EA
RGB(2, 9, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.234.

Address
0.2.9.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.234

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 133,610 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.