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473,330

473,330 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.).

473,330 (four hundred seventy-three thousand three hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 11 × 13 × 331. Its proper divisors sum to 530,638, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x738F2.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
33,374
Square (n²)
224,041,288,900
Cube (n³)
106,045,463,275,037,000
Divisor count
32
σ(n) — sum of divisors
1,003,968
φ(n) — Euler's totient
158,400
Sum of prime factors
362

Primality

Prime factorization: 2 × 5 × 11 × 13 × 331

Nearest primes: 473,327 (−3) · 473,351 (+21)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 11 · 13 · 22 · 26 · 55 · 65 · 110 · 130 · 143 · 286 · 331 · 662 · 715 · 1430 · 1655 · 3310 · 3641 · 4303 · 7282 · 8606 · 18205 · 21515 · 36410 · 43030 · 47333 · 94666 · 236665 (half) · 473330
Aliquot sum (sum of proper divisors): 530,638
Factor pairs (a × b = 473,330)
1 × 473330
2 × 236665
5 × 94666
10 × 47333
11 × 43030
13 × 36410
22 × 21515
26 × 18205
55 × 8606
65 × 7282
110 × 4303
130 × 3641
143 × 3310
286 × 1655
331 × 1430
662 × 715
First multiples
473,330 · 946,660 (double) · 1,419,990 · 1,893,320 · 2,366,650 · 2,839,980 · 3,313,310 · 3,786,640 · 4,259,970 · 4,733,300

Sums & aliquot sequence

As consecutive integers: 118,331 + 118,332 + 118,333 + 118,334 94,664 + 94,665 + 94,666 + 94,667 + 94,668 43,025 + 43,026 + … + 43,035 36,404 + 36,405 + … + 36,416
Aliquot sequence: 473,330 530,638 312,194 159,886 79,946 41,878 20,942 11,434 5,720 9,400 12,920 19,480 24,440 36,040 51,440 68,344 59,816 — unresolved within range

Continued fraction of √n

√473,330 = [687; (1, 97, 3, 1, 1, 27, 1, 1, 24, 1, 1, 27, 1, 1, 3, 97, 1, 1374)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand three hundred thirty
Ordinal
473330th
Binary
1110011100011110010
Octal
1634362
Hexadecimal
0x738F2
Base64
Bzjy
One's complement
4,294,493,965 (32-bit)
Scientific notation
4.7333 × 10⁵
As a duration
473,330 s = 5 days, 11 hours, 28 minutes, 50 seconds
In other bases
ternary (3) 220001021202
quaternary (4) 1303203302
quinary (5) 110121310
senary (6) 14051202
septenary (7) 4010654
nonary (9) 801252
undecimal (11) 2a3690
duodecimal (12) 1a9b02
tridecimal (13) 1375a0
tetradecimal (14) c46d4
pentadecimal (15) 953a5

As an angle

473,330° = 1,314 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵υογτλʹ
Chinese
四十七萬三千三百三十
Chinese (financial)
肆拾柒萬參仟參佰參拾
In other modern scripts
Eastern Arabic ٤٧٣٣٣٠ Devanagari ४७३३३० Bengali ৪৭৩৩৩০ Tamil ௪௭௩௩௩௦ Thai ๔๗๓๓๓๐ Tibetan ༤༧༣༣༣༠ Khmer ៤៧៣៣៣០ Lao ໔໗໓໓໓໐ Burmese ၄၇၃၃၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473330, here are decompositions:

  • 3 + 473327 = 473330
  • 19 + 473311 = 473330
  • 37 + 473293 = 473330
  • 43 + 473287 = 473330
  • 73 + 473257 = 473330
  • 103 + 473227 = 473330
  • 127 + 473203 = 473330
  • 139 + 473191 = 473330

Showing the first eight; more decompositions exist.

Hex color
#0738F2
RGB(7, 56, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.242.

Address
0.7.56.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.56.242

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 473,330 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 473330 first appears in π at position 568,000 of the decimal expansion (the 568,000ordinal-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°.