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133,604

133,604 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.).

133,604 (one hundred thirty-three thousand six hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 127 × 263. Written other ways, in hexadecimal, 0x209E4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
406,331
Square (n²)
17,850,028,816
Cube (n³)
2,384,835,249,932,864
Divisor count
12
σ(n) — sum of divisors
236,544
φ(n) — Euler's totient
66,024
Sum of prime factors
394

Primality

Prime factorization: 2 2 × 127 × 263

Nearest primes: 133,597 (−7) · 133,631 (+27)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 127 · 254 · 263 · 508 · 526 · 1052 · 33401 · 66802 (half) · 133604
Aliquot sum (sum of proper divisors): 102,940
Factor pairs (a × b = 133,604)
1 × 133604
2 × 66802
4 × 33401
127 × 1052
254 × 526
263 × 508
First multiples
133,604 · 267,208 (double) · 400,812 · 534,416 · 668,020 · 801,624 · 935,228 · 1,068,832 · 1,202,436 · 1,336,040

Sums & aliquot sequence

As consecutive integers: 16,697 + 16,698 + … + 16,704 989 + 990 + … + 1,115 377 + 378 + … + 639
Aliquot sequence: 133,604 102,940 113,276 84,964 77,324 68,500 82,196 61,654 34,106 17,056 19,988 16,972 12,736 12,664 11,096 11,104 10,820 — unresolved within range

Continued fraction of √n

√133,604 = [365; (1, 1, 12, 1, 3, 1, 3, 1, 3, 2, 1, 1, 2, 4, 1, 1, 11, 1, 5, 4, 2, 19, 3, 4, …)]

Representations

In words
one hundred thirty-three thousand six hundred four
Ordinal
133604th
Binary
100000100111100100
Octal
404744
Hexadecimal
0x209E4
Base64
Agnk
One's complement
4,294,833,691 (32-bit)
Scientific notation
1.33604 × 10⁵
As a duration
133,604 s = 1 day, 13 hours, 6 minutes, 44 seconds
In other bases
ternary (3) 20210021022
quaternary (4) 200213210
quinary (5) 13233404
senary (6) 2510312
septenary (7) 1064342
nonary (9) 223238
undecimal (11) 91419
duodecimal (12) 65398
tridecimal (13) 48a73
tetradecimal (14) 36992
pentadecimal (15) 298be
Palindromic in base 11

As an angle

133,604° = 371 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχδʹ
Mayan (base 20)
𝋰·𝋮·𝋠·𝋤
Chinese
一十三萬三千六百零四
Chinese (financial)
壹拾參萬參仟陸佰零肆
In other modern scripts
Eastern Arabic ١٣٣٦٠٤ Devanagari १३३६०४ Bengali ১৩৩৬০৪ Tamil ௧௩௩௬௦௪ Thai ๑๓๓๖๐๔ Tibetan ༡༣༣༦༠༤ Khmer ១៣៣៦០៤ Lao ໑໓໓໖໐໔ Burmese ၁၃၃၆၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133604, here are decompositions:

  • 7 + 133597 = 133604
  • 61 + 133543 = 133604
  • 157 + 133447 = 133604
  • 277 + 133327 = 133604
  • 283 + 133321 = 133604
  • 421 + 133183 = 133604
  • 487 + 133117 = 133604
  • 571 + 133033 = 133604

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧤
CJK Unified Ideograph-209E4
U+209E4
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 A4 (4 bytes).

Hex color
#0209E4
RGB(2, 9, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.228.

Address
0.2.9.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.228

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 133,604 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 133604 first appears in π at position 684,335 of the decimal expansion (the 684,335ordinal-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.