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133,974

133,974 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.).

133,974 (one hundred thirty-three thousand nine hundred seventy-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 827. Its proper divisors sum to 166,590, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B56.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,268
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
479,331
Square (n²)
17,949,032,676
Cube (n³)
2,404,703,703,734,424
Divisor count
20
σ(n) — sum of divisors
300,564
φ(n) — Euler's totient
44,604
Sum of prime factors
841

Primality

Prime factorization: 2 × 3 4 × 827

Nearest primes: 133,967 (−7) · 133,979 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 827 · 1654 · 2481 · 4962 · 7443 · 14886 · 22329 · 44658 · 66987 (half) · 133974
Aliquot sum (sum of proper divisors): 166,590
Factor pairs (a × b = 133,974)
1 × 133974
2 × 66987
3 × 44658
6 × 22329
9 × 14886
18 × 7443
27 × 4962
54 × 2481
81 × 1654
162 × 827
First multiples
133,974 · 267,948 (double) · 401,922 · 535,896 · 669,870 · 803,844 · 937,818 · 1,071,792 · 1,205,766 · 1,339,740

Sums & aliquot sequence

As consecutive integers: 44,657 + 44,658 + 44,659 33,492 + 33,493 + 33,494 + 33,495 14,882 + 14,883 + … + 14,890 11,159 + 11,160 + … + 11,170
Aliquot sequence: 133,974 166,590 278,370 464,670 775,170 1,583,550 3,277,746 4,067,196 6,973,932 11,623,444 12,991,916 13,628,020 19,289,228 19,821,844 19,821,900 45,729,460 66,110,156 — unresolved within range

Continued fraction of √n

√133,974 = [366; (40, 1, 2, 81, 366, 81, 2, 1, 40, 732)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred seventy-four
Ordinal
133974th
Binary
100000101101010110
Octal
405526
Hexadecimal
0x20B56
Base64
AgtW
One's complement
4,294,833,321 (32-bit)
Scientific notation
1.33974 × 10⁵
As a duration
133,974 s = 1 day, 13 hours, 12 minutes, 54 seconds
In other bases
ternary (3) 20210210000
quaternary (4) 200231112
quinary (5) 13241344
senary (6) 2512130
septenary (7) 1065411
nonary (9) 223700
undecimal (11) 91725
duodecimal (12) 65646
tridecimal (13) 48c99
tetradecimal (14) 36b78
pentadecimal (15) 29a69

As an angle

133,974° = 372 × 360° + 54°
54° ≈ 0.942 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡοδʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋮
Chinese
一十三萬三千九百七十四
Chinese (financial)
壹拾參萬參仟玖佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٣٩٧٤ Devanagari १३३९७४ Bengali ১৩৩৯৭৪ Tamil ௧௩௩௯௭௪ Thai ๑๓๓๙๗๔ Tibetan ༡༣༣༩༧༤ Khmer ១៣៣៩៧៤ Lao ໑໓໓໙໗໔ Burmese ၁၃၃၉၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133974, here are decompositions:

  • 7 + 133967 = 133974
  • 11 + 133963 = 133974
  • 97 + 133877 = 133974
  • 101 + 133873 = 133974
  • 131 + 133843 = 133974
  • 163 + 133811 = 133974
  • 173 + 133801 = 133974
  • 193 + 133781 = 133974

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭖
CJK Unified Ideograph-20B56
U+20B56
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 96 (4 bytes).

Hex color
#020B56
RGB(2, 11, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.86.

Address
0.2.11.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.86

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 133,974 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 133974 first appears in π at position 414,421 of the decimal expansion (the 414,421ordinal-suffix:st 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°.