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133,024

133,024 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.).

133,024 (one hundred thirty-three thousand twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,157. Written other ways, in hexadecimal, 0x207A0.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
420,331
Square (n²)
17,695,384,576
Cube (n³)
2,353,910,837,837,824
Divisor count
12
σ(n) — sum of divisors
261,954
φ(n) — Euler's totient
66,496
Sum of prime factors
4,167

Primality

Prime factorization: 2 5 × 4157

Nearest primes: 133,013 (−11) · 133,033 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4157 · 8314 · 16628 · 33256 · 66512 (half) · 133024
Aliquot sum (sum of proper divisors): 128,930
Factor pairs (a × b = 133,024)
1 × 133024
2 × 66512
4 × 33256
8 × 16628
16 × 8314
32 × 4157
First multiples
133,024 · 266,048 (double) · 399,072 · 532,096 · 665,120 · 798,144 · 931,168 · 1,064,192 · 1,197,216 · 1,330,240

Sums & aliquot sequence

As a sum of two squares: 132² + 340²
As consecutive integers: 2,047 + 2,048 + … + 2,110
Aliquot sequence: 133,024 128,930 103,162 51,584 62,656 74,504 68,296 59,774 51,946 30,134 21,946 10,976 14,224 17,520 37,536 71,328 116,160 — unresolved within range

Continued fraction of √n

√133,024 = [364; (1, 2, 1, 1, 1, 2, 2, 2, 12, 1, 5, 1, 1, 1, 4, 1, 3, 17, 1, 1, 7, 1, 6, 1, …)]

Representations

In words
one hundred thirty-three thousand twenty-four
Ordinal
133024th
Binary
100000011110100000
Octal
403640
Hexadecimal
0x207A0
Base64
Ageg
One's complement
4,294,834,271 (32-bit)
Scientific notation
1.33024 × 10⁵
As a duration
133,024 s = 1 day, 12 hours, 57 minutes, 4 seconds
In other bases
ternary (3) 20202110211
quaternary (4) 200132200
quinary (5) 13224044
senary (6) 2503504
septenary (7) 1062553
nonary (9) 222424
undecimal (11) 90a41
duodecimal (12) 64b94
tridecimal (13) 48718
tetradecimal (14) 3669a
pentadecimal (15) 29634

As an angle

133,024° = 369 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγκδʹ
Mayan (base 20)
𝋰·𝋬·𝋫·𝋤
Chinese
一十三萬三千零二十四
Chinese (financial)
壹拾參萬參仟零貳拾肆
In other modern scripts
Eastern Arabic ١٣٣٠٢٤ Devanagari १३३०२४ Bengali ১৩৩০২৪ Tamil ௧௩௩௦௨௪ Thai ๑๓๓๐๒๔ Tibetan ༡༣༣༠༢༤ Khmer ១៣៣០២៤ Lao ໑໓໓໐໒໔ Burmese ၁၃၃၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133024, here are decompositions:

  • 11 + 133013 = 133024
  • 53 + 132971 = 133024
  • 71 + 132953 = 133024
  • 113 + 132911 = 133024
  • 131 + 132893 = 133024
  • 137 + 132887 = 133024
  • 167 + 132857 = 133024
  • 173 + 132851 = 133024

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞠
CJK Unified Ideograph-207A0
U+207A0
Other letter (Lo)

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

Hex color
#0207A0
RGB(2, 7, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.160.

Address
0.2.7.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.160

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 133,024 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 133024 first appears in π at position 689,506 of the decimal expansion (the 689,506ordinal-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