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133,704

133,704 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.).

133,704 (one hundred thirty-three thousand seven hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 619. Its proper divisors sum to 238,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A48.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
407,331
Square (n²)
17,876,759,616
Cube (n³)
2,390,194,267,697,664
Divisor count
32
σ(n) — sum of divisors
372,000
φ(n) — Euler's totient
44,496
Sum of prime factors
634

Primality

Prime factorization: 2 3 × 3 3 × 619

Nearest primes: 133,697 (−7) · 133,709 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 619 · 1238 · 1857 · 2476 · 3714 · 4952 · 5571 · 7428 · 11142 · 14856 · 16713 · 22284 · 33426 · 44568 · 66852 (half) · 133704
Aliquot sum (sum of proper divisors): 238,296
Factor pairs (a × b = 133,704)
1 × 133704
2 × 66852
3 × 44568
4 × 33426
6 × 22284
8 × 16713
9 × 14856
12 × 11142
18 × 7428
24 × 5571
27 × 4952
36 × 3714
54 × 2476
72 × 1857
108 × 1238
216 × 619
First multiples
133,704 · 267,408 (double) · 401,112 · 534,816 · 668,520 · 802,224 · 935,928 · 1,069,632 · 1,203,336 · 1,337,040

Sums & aliquot sequence

As consecutive integers: 44,567 + 44,568 + 44,569 14,852 + 14,853 + … + 14,860 8,349 + 8,350 + … + 8,364 4,939 + 4,940 + … + 4,965
Aliquot sequence: 133,704 238,296 357,504 805,296 1,387,024 1,300,366 650,186 325,096 284,474 142,240 244,832 306,544 456,800 660,316 495,244 422,540 490,372 — unresolved within range

Continued fraction of √n

√133,704 = [365; (1, 1, 1, 9, 2, 1, 5, 2, 7, 4, 5, 5, 1, 2, 2, 2, 2, 1, 90, 1, 2, 2, 2, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred four
Ordinal
133704th
Binary
100000101001001000
Octal
405110
Hexadecimal
0x20A48
Base64
AgpI
One's complement
4,294,833,591 (32-bit)
Scientific notation
1.33704 × 10⁵
As a duration
133,704 s = 1 day, 13 hours, 8 minutes, 24 seconds
In other bases
ternary (3) 20210102000
quaternary (4) 200221020
quinary (5) 13234304
senary (6) 2511000
septenary (7) 1064544
nonary (9) 223360
undecimal (11) 914aa
duodecimal (12) 65460
tridecimal (13) 48b1c
tetradecimal (14) 36a24
pentadecimal (15) 29939

As an angle

133,704° = 371 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψδʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋤
Chinese
一十三萬三千七百零四
Chinese (financial)
壹拾參萬參仟柒佰零肆
In other modern scripts
Eastern Arabic ١٣٣٧٠٤ Devanagari १३३७०४ Bengali ১৩৩৭০৪ Tamil ௧௩௩௭௦௪ Thai ๑๓๓๗๐๔ Tibetan ༡༣༣༧༠༤ Khmer ១៣៣៧០៤ Lao ໑໓໓໗໐໔ Burmese ၁၃၃၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133704, here are decompositions:

  • 7 + 133697 = 133704
  • 13 + 133691 = 133704
  • 31 + 133673 = 133704
  • 47 + 133657 = 133704
  • 71 + 133633 = 133704
  • 73 + 133631 = 133704
  • 107 + 133597 = 133704
  • 163 + 133541 = 133704

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩈
CJK Unified Ideograph-20A48
U+20A48
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 88 (4 bytes).

Hex color
#020A48
RGB(2, 10, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.72.

Address
0.2.10.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.72

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 133,704 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 133704 first appears in π at position 141,343 of the decimal expansion (the 141,343ordinal-suffix:rd 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°.