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133,730

133,730 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.).

133,730 (one hundred thirty-three thousand seven hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 43 × 311. Written other ways, in hexadecimal, 0x20A62.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
37,331
Square (n²)
17,883,712,900
Cube (n³)
2,391,588,926,117,000
Divisor count
16
σ(n) — sum of divisors
247,104
φ(n) — Euler's totient
52,080
Sum of prime factors
361

Primality

Prime factorization: 2 × 5 × 43 × 311

Nearest primes: 133,723 (−7) · 133,733 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 43 · 86 · 215 · 311 · 430 · 622 · 1555 · 3110 · 13373 · 26746 · 66865 (half) · 133730
Aliquot sum (sum of proper divisors): 113,374
Factor pairs (a × b = 133,730)
1 × 133730
2 × 66865
5 × 26746
10 × 13373
43 × 3110
86 × 1555
215 × 622
311 × 430
First multiples
133,730 · 267,460 (double) · 401,190 · 534,920 · 668,650 · 802,380 · 936,110 · 1,069,840 · 1,203,570 · 1,337,300

Sums & aliquot sequence

As consecutive integers: 33,431 + 33,432 + 33,433 + 33,434 26,744 + 26,745 + 26,746 + 26,747 + 26,748 6,677 + 6,678 + … + 6,696 3,089 + 3,090 + … + 3,131
Aliquot sequence: 133,730 113,374 56,690 45,370 42,830 34,282 18,170 16,390 16,010 12,826 8,720 11,740 12,956 10,564 9,036 13,896 23,934 — unresolved within range

Continued fraction of √n

√133,730 = [365; (1, 2, 4, 4, 1, 3, 1, 1, 12, 1, 2, 1, 5, 2, 2, 51, 1, 5, 15, 1, 2, 1, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred thirty
Ordinal
133730th
Binary
100000101001100010
Octal
405142
Hexadecimal
0x20A62
Base64
Agpi
One's complement
4,294,833,565 (32-bit)
Scientific notation
1.3373 × 10⁵
As a duration
133,730 s = 1 day, 13 hours, 8 minutes, 50 seconds
In other bases
ternary (3) 20210102222
quaternary (4) 200221202
quinary (5) 13234410
senary (6) 2511042
septenary (7) 1064612
nonary (9) 223388
undecimal (11) 91523
duodecimal (12) 65482
tridecimal (13) 48b3c
tetradecimal (14) 36a42
pentadecimal (15) 29955

As an angle

133,730° = 371 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλγψλʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋪
Chinese
一十三萬三千七百三十
Chinese (financial)
壹拾參萬參仟柒佰參拾
In other modern scripts
Eastern Arabic ١٣٣٧٣٠ Devanagari १३३७३० Bengali ১৩৩৭৩০ Tamil ௧௩௩௭௩௦ Thai ๑๓๓๗๓๐ Tibetan ༡༣༣༧༣༠ Khmer ១៣៣៧៣០ Lao ໑໓໓໗໓໐ Burmese ၁၃၃၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133730, here are decompositions:

  • 7 + 133723 = 133730
  • 13 + 133717 = 133730
  • 19 + 133711 = 133730
  • 61 + 133669 = 133730
  • 73 + 133657 = 133730
  • 97 + 133633 = 133730
  • 211 + 133519 = 133730
  • 283 + 133447 = 133730

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩢
CJK Unified Ideograph-20A62
U+20A62
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 A2 (4 bytes).

Hex color
#020A62
RGB(2, 10, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.98.

Address
0.2.10.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.98

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 133,730 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 133730 first appears in π at position 185,014 of the decimal expansion (the 185,014ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.