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133,104

133,104 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.).

133,104 (one hundred thirty-three thousand one hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 47 × 59. Its proper divisors sum to 224,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207F0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
401,331
Square (n²)
17,716,674,816
Cube (n³)
2,358,160,284,708,864
Divisor count
40
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
42,688
Sum of prime factors
117

Primality

Prime factorization: 2 4 × 3 × 47 × 59

Nearest primes: 133,103 (−1) · 133,109 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 47 · 48 · 59 · 94 · 118 · 141 · 177 · 188 · 236 · 282 · 354 · 376 · 472 · 564 · 708 · 752 · 944 · 1128 · 1416 · 2256 · 2773 · 2832 · 5546 · 8319 · 11092 · 16638 · 22184 · 33276 · 44368 · 66552 (half) · 133104
Aliquot sum (sum of proper divisors): 224,016
Factor pairs (a × b = 133,104)
1 × 133104
2 × 66552
3 × 44368
4 × 33276
6 × 22184
8 × 16638
12 × 11092
16 × 8319
24 × 5546
47 × 2832
48 × 2773
59 × 2256
94 × 1416
118 × 1128
141 × 944
177 × 752
188 × 708
236 × 564
282 × 472
354 × 376
First multiples
133,104 · 266,208 (double) · 399,312 · 532,416 · 665,520 · 798,624 · 931,728 · 1,064,832 · 1,197,936 · 1,331,040

Sums & aliquot sequence

As consecutive integers: 44,367 + 44,368 + 44,369 4,144 + 4,145 + … + 4,175 2,809 + 2,810 + … + 2,855 2,227 + 2,228 + … + 2,285
Aliquot sequence: 133,104 224,016 400,944 634,952 566,248 524,732 464,284 417,716 399,604 299,710 299,042 149,524 121,376 117,646 61,994 32,086 17,018 — unresolved within range

Continued fraction of √n

√133,104 = [364; (1, 5, 31, 1, 1, 3, 1, 4, 3, 1, 14, 1, 3, 4, 1, 3, 1, 1, 31, 5, 1, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred four
Ordinal
133104th
Binary
100000011111110000
Octal
403760
Hexadecimal
0x207F0
Base64
Agfw
One's complement
4,294,834,191 (32-bit)
Scientific notation
1.33104 × 10⁵
As a duration
133,104 s = 1 day, 12 hours, 58 minutes, 24 seconds
In other bases
ternary (3) 20202120210
quaternary (4) 200133300
quinary (5) 13224404
senary (6) 2504120
septenary (7) 1063026
nonary (9) 222523
undecimal (11) 91004
duodecimal (12) 65040
tridecimal (13) 4877a
tetradecimal (14) 36716
pentadecimal (15) 29689

As an angle

133,104° = 369 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρδʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋤
Chinese
一十三萬三千一百零四
Chinese (financial)
壹拾參萬參仟壹佰零肆
In other modern scripts
Eastern Arabic ١٣٣١٠٤ Devanagari १३३१०४ Bengali ১৩৩১০৪ Tamil ௧௩௩௧௦௪ Thai ๑๓๓๑๐๔ Tibetan ༡༣༣༡༠༤ Khmer ១៣៣១០៤ Lao ໑໓໓໑໐໔ Burmese ၁၃၃၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133104, here are decompositions:

  • 7 + 133097 = 133104
  • 17 + 133087 = 133104
  • 31 + 133073 = 133104
  • 53 + 133051 = 133104
  • 71 + 133033 = 133104
  • 137 + 132967 = 133104
  • 151 + 132953 = 133104
  • 157 + 132947 = 133104

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟰
CJK Unified Ideograph-207F0
U+207F0
Other letter (Lo)

UTF-8 encoding: F0 A0 9F B0 (4 bytes).

Hex color
#0207F0
RGB(2, 7, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.240.

Address
0.2.7.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.240

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 133,104 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 133104 first appears in π at position 196,169 of the decimal expansion (the 196,169ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.