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473,478

473,478 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.).

473,478 (four hundred seventy-three thousand four hundred seventy-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 23 × 47 × 73. Its proper divisors sum to 549,498, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73986.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
18,816
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
874,374
Recamán's sequence
a(138,100) = 473,478
Square (n²)
224,181,416,484
Cube (n³)
106,144,968,714,011,352
Divisor count
32
σ(n) — sum of divisors
1,022,976
φ(n) — Euler's totient
145,728
Sum of prime factors
148

Primality

Prime factorization: 2 × 3 × 23 × 47 × 73

Nearest primes: 473,477 (−1) · 473,479 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 23 · 46 · 47 · 69 · 73 · 94 · 138 · 141 · 146 · 219 · 282 · 438 · 1081 · 1679 · 2162 · 3243 · 3358 · 3431 · 5037 · 6486 · 6862 · 10074 · 10293 · 20586 · 78913 · 157826 · 236739 (half) · 473478
Aliquot sum (sum of proper divisors): 549,498
Factor pairs (a × b = 473,478)
1 × 473478
2 × 236739
3 × 157826
6 × 78913
23 × 20586
46 × 10293
47 × 10074
69 × 6862
73 × 6486
94 × 5037
138 × 3431
141 × 3358
146 × 3243
219 × 2162
282 × 1679
438 × 1081
First multiples
473,478 · 946,956 (double) · 1,420,434 · 1,893,912 · 2,367,390 · 2,840,868 · 3,314,346 · 3,787,824 · 4,261,302 · 4,734,780

Sums & aliquot sequence

As consecutive integers: 157,825 + 157,826 + 157,827 118,368 + 118,369 + 118,370 + 118,371 39,451 + 39,452 + … + 39,462 20,575 + 20,576 + … + 20,597
Aliquot sequence: 473,478 549,498 549,510 871,770 1,220,550 1,874,490 2,624,358 3,440,922 3,440,934 5,298,906 5,355,078 5,355,090 10,369,710 18,668,754 30,276,792 70,667,688 161,229,912 — unresolved within range

Continued fraction of √n

√473,478 = [688; (10, 3, 1, 2, 2, 9, 3, 1, 2, 1, 2, 458, 2, 1, 2, 1, 3, 9, 2, 2, 1, 3, 10, 1376)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand four hundred seventy-eight
Ordinal
473478th
Binary
1110011100110000110
Octal
1634606
Hexadecimal
0x73986
Base64
BzmG
One's complement
4,294,493,817 (32-bit)
Scientific notation
4.73478 × 10⁵
As a duration
473,478 s = 5 days, 11 hours, 31 minutes, 18 seconds
In other bases
ternary (3) 220001111020
quaternary (4) 1303212012
quinary (5) 110122403
senary (6) 14052010
septenary (7) 4011255
nonary (9) 801436
undecimal (11) 2a3805
duodecimal (12) 1aa006
tridecimal (13) 137685
tetradecimal (14) c479c
pentadecimal (15) 95453

As an angle

473,478° = 1,315 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογυοηʹ
Chinese
四十七萬三千四百七十八
Chinese (financial)
肆拾柒萬參仟肆佰柒拾捌
In other modern scripts
Eastern Arabic ٤٧٣٤٧٨ Devanagari ४७३४७८ Bengali ৪৭৩৪৭৮ Tamil ௪௭௩௪௭௮ Thai ๔๗๓๔๗๘ Tibetan ༤༧༣༤༧༨ Khmer ៤៧៣៤៧៨ Lao ໔໗໓໔໗໘ Burmese ၄၇၃၄၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473478, here are decompositions:

  • 7 + 473471 = 473478
  • 37 + 473441 = 473478
  • 59 + 473419 = 473478
  • 67 + 473411 = 473478
  • 97 + 473381 = 473478
  • 101 + 473377 = 473478
  • 127 + 473351 = 473478
  • 151 + 473327 = 473478

Showing the first eight; more decompositions exist.

Hex color
#073986
RGB(7, 57, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.134.

Address
0.7.57.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.134

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 473,478 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 473478 first appears in π at position 394,829 of the decimal expansion (the 394,829ordinal-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°.