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133,074

133,074 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.).

133,074 (one hundred thirty-three thousand seventy-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 7,393. Its proper divisors sum to 155,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207D2.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran 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
470,331
Square (n²)
17,708,689,476
Cube (n³)
2,356,566,143,329,224
Divisor count
12
σ(n) — sum of divisors
288,366
φ(n) — Euler's totient
44,352
Sum of prime factors
7,401

Primality

Prime factorization: 2 × 3 2 × 7393

Nearest primes: 133,073 (−1) · 133,087 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 7393 · 14786 · 22179 · 44358 · 66537 (half) · 133074
Aliquot sum (sum of proper divisors): 155,292
Factor pairs (a × b = 133,074)
1 × 133074
2 × 66537
3 × 44358
6 × 22179
9 × 14786
18 × 7393
First multiples
133,074 · 266,148 (double) · 399,222 · 532,296 · 665,370 · 798,444 · 931,518 · 1,064,592 · 1,197,666 · 1,330,740

Sums & aliquot sequence

As a sum of two squares: 75² + 357²
As consecutive integers: 44,357 + 44,358 + 44,359 33,267 + 33,268 + 33,269 + 33,270 14,782 + 14,783 + … + 14,790 11,084 + 11,085 + … + 11,095
Aliquot sequence: 133,074 155,292 207,084 276,140 303,796 238,256 223,396 167,554 83,780 97,660 119,060 131,008 143,312 163,030 194,666 99,958 63,338 — unresolved within range

Continued fraction of √n

√133,074 = [364; (1, 3, 1, 4, 1, 103, 2, 1, 1, 39, 1, 13, 1, 10, 1, 1, 1, 5, 7, 1, 1, 80, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seventy-four
Ordinal
133074th
Binary
100000011111010010
Octal
403722
Hexadecimal
0x207D2
Base64
AgfS
One's complement
4,294,834,221 (32-bit)
Scientific notation
1.33074 × 10⁵
As a duration
133,074 s = 1 day, 12 hours, 57 minutes, 54 seconds
In other bases
ternary (3) 20202112200
quaternary (4) 200133102
quinary (5) 13224244
senary (6) 2504030
septenary (7) 1062654
nonary (9) 222480
undecimal (11) 90a87
duodecimal (12) 65016
tridecimal (13) 48756
tetradecimal (14) 366d4
pentadecimal (15) 29669

As an angle

133,074° = 369 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγοδʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋮
Chinese
一十三萬三千零七十四
Chinese (financial)
壹拾參萬參仟零柒拾肆
In other modern scripts
Eastern Arabic ١٣٣٠٧٤ Devanagari १३३०७४ Bengali ১৩৩০৭৪ Tamil ௧௩௩௦௭௪ Thai ๑๓๓๐๗๔ Tibetan ༡༣༣༠༧༤ Khmer ១៣៣០៧៤ Lao ໑໓໓໐໗໔ Burmese ၁၃၃၀၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133074, here are decompositions:

  • 5 + 133069 = 133074
  • 23 + 133051 = 133074
  • 41 + 133033 = 133074
  • 61 + 133013 = 133074
  • 103 + 132971 = 133074
  • 107 + 132967 = 133074
  • 113 + 132961 = 133074
  • 127 + 132947 = 133074

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟒
CJK Unified Ideograph-207D2
U+207D2
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 92 (4 bytes).

Hex color
#0207D2
RGB(2, 7, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.210.

Address
0.2.7.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.210

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 133,074 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 133074 first appears in π at position 788,523 of the decimal expansion (the 788,523ordinal-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°.