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133,746

133,746 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.).

133,746 (one hundred thirty-three thousand seven hundred forty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,291. Its proper divisors sum to 133,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A72.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,512
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
647,331
Square (n²)
17,887,992,516
Cube (n³)
2,392,447,447,044,936
Divisor count
8
σ(n) — sum of divisors
267,504
φ(n) — Euler's totient
44,580
Sum of prime factors
22,296

Primality

Prime factorization: 2 × 3 × 22291

Nearest primes: 133,733 (−13) · 133,769 (+23)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22291 · 44582 · 66873 (half) · 133746
Aliquot sum (sum of proper divisors): 133,758
Factor pairs (a × b = 133,746)
1 × 133746
2 × 66873
3 × 44582
6 × 22291
First multiples
133,746 · 267,492 (double) · 401,238 · 534,984 · 668,730 · 802,476 · 936,222 · 1,069,968 · 1,203,714 · 1,337,460

Sums & aliquot sequence

As consecutive integers: 44,581 + 44,582 + 44,583 33,435 + 33,436 + 33,437 + 33,438 11,140 + 11,141 + … + 11,151
Aliquot sequence: 133,746 133,758 163,602 199,098 247,392 456,948 728,012 580,708 435,538 229,022 116,554 60,314 32,026 16,934 8,470 10,682 8,128 — unresolved within range

Continued fraction of √n

√133,746 = [365; (1, 2, 2, 15, 2, 8, 2, 3, 2, 1, 1, 1, 5, 1, 3, 1, 2, 3, 1, 3, 51, 1, 47, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred forty-six
Ordinal
133746th
Binary
100000101001110010
Octal
405162
Hexadecimal
0x20A72
Base64
Agpy
One's complement
4,294,833,549 (32-bit)
Scientific notation
1.33746 × 10⁵
As a duration
133,746 s = 1 day, 13 hours, 9 minutes, 6 seconds
In other bases
ternary (3) 20210110120
quaternary (4) 200221302
quinary (5) 13234441
senary (6) 2511110
septenary (7) 1064634
nonary (9) 223416
undecimal (11) 91538
duodecimal (12) 65496
tridecimal (13) 48b52
tetradecimal (14) 36a54
pentadecimal (15) 29966

As an angle

133,746° = 371 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψμϛʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋦
Chinese
一十三萬三千七百四十六
Chinese (financial)
壹拾參萬參仟柒佰肆拾陸
In other modern scripts
Eastern Arabic ١٣٣٧٤٦ Devanagari १३३७४६ Bengali ১৩৩৭৪৬ Tamil ௧௩௩௭௪௬ Thai ๑๓๓๗๔๖ Tibetan ༡༣༣༧༤༦ Khmer ១៣៣៧៤៦ Lao ໑໓໓໗໔໖ Burmese ၁၃၃၇၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133746, here are decompositions:

  • 13 + 133733 = 133746
  • 23 + 133723 = 133746
  • 29 + 133717 = 133746
  • 37 + 133709 = 133746
  • 73 + 133673 = 133746
  • 89 + 133657 = 133746
  • 97 + 133649 = 133746
  • 113 + 133633 = 133746

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩲
CJK Unified Ideograph-20A72
U+20A72
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 B2 (4 bytes).

Hex color
#020A72
RGB(2, 10, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.114.

Address
0.2.10.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.114

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 133,746 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 133746 first appears in π at position 5,607 of the decimal expansion (the 5,607ordinal-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°.