number.wiki
Live analysis

473,046

473,046 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.).

473,046 (four hundred seventy-three thousand forty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 7² × 1,609. Its proper divisors sum to 628,194, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737D6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
640,374
Square (n²)
223,772,518,116
Cube (n³)
105,854,694,604,701,336
Divisor count
24
σ(n) — sum of divisors
1,101,240
φ(n) — Euler's totient
135,072
Sum of prime factors
1,628

Primality

Prime factorization: 2 × 3 × 7 2 × 1609

Nearest primes: 473,027 (−19) · 473,089 (+43)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 49 · 98 · 147 · 294 · 1609 · 3218 · 4827 · 9654 · 11263 · 22526 · 33789 · 67578 · 78841 · 157682 · 236523 (half) · 473046
Aliquot sum (sum of proper divisors): 628,194
Factor pairs (a × b = 473,046)
1 × 473046
2 × 236523
3 × 157682
6 × 78841
7 × 67578
14 × 33789
21 × 22526
42 × 11263
49 × 9654
98 × 4827
147 × 3218
294 × 1609
First multiples
473,046 · 946,092 (double) · 1,419,138 · 1,892,184 · 2,365,230 · 2,838,276 · 3,311,322 · 3,784,368 · 4,257,414 · 4,730,460

Sums & aliquot sequence

As consecutive integers: 157,681 + 157,682 + 157,683 118,260 + 118,261 + 118,262 + 118,263 67,575 + 67,576 + … + 67,581 39,415 + 39,416 + … + 39,426
Aliquot sequence: 473,046 628,194 807,774 954,786 1,257,054 1,386,786 1,386,798 1,937,442 2,316,318 2,589,042 2,699,790 3,991,026 5,060,814 5,981,106 6,050,094 6,879,186 8,903,178 — unresolved within range

Continued fraction of √n

√473,046 = [687; (1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 4, 6, 13, 1, 7, 45, 1, 2, 1, 1, 1, 6, 2, 27, …)]

Representations

In words
four hundred seventy-three thousand forty-six
Ordinal
473046th
Binary
1110011011111010110
Octal
1633726
Hexadecimal
0x737D6
Base64
BzfW
One's complement
4,294,494,249 (32-bit)
Scientific notation
4.73046 × 10⁵
As a duration
473,046 s = 5 days, 11 hours, 24 minutes, 6 seconds
In other bases
ternary (3) 220000220020
quaternary (4) 1303133112
quinary (5) 110114141
senary (6) 14050010
septenary (7) 4010100
nonary (9) 800806
undecimal (11) 2a3452
duodecimal (12) 1a9906
tridecimal (13) 137412
tetradecimal (14) c4570
pentadecimal (15) 95266

As an angle

473,046° = 1,314 × 360° + 6°
6° ≈ 0.105 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογμϛʹ
Chinese
四十七萬三千零四十六
Chinese (financial)
肆拾柒萬參仟零肆拾陸
In other modern scripts
Eastern Arabic ٤٧٣٠٤٦ Devanagari ४७३०४६ Bengali ৪৭৩০৪৬ Tamil ௪௭௩௦௪௬ Thai ๔๗๓๐๔๖ Tibetan ༤༧༣༠༤༦ Khmer ៤៧៣០៤៦ Lao ໔໗໓໐໔໖ Burmese ၄၇၃၀၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473046, here are decompositions:

  • 19 + 473027 = 473046
  • 37 + 473009 = 473046
  • 53 + 472993 = 473046
  • 83 + 472963 = 473046
  • 107 + 472939 = 473046
  • 109 + 472937 = 473046
  • 137 + 472909 = 473046
  • 139 + 472907 = 473046

Showing the first eight; more decompositions exist.

Hex color
#0737D6
RGB(7, 55, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.214.

Address
0.7.55.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.214

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 473,046 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 473046 first appears in π at position 273,023 of the decimal expansion (the 273,023ordinal-suffix:rd 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°.