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477,342

477,342 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.).

477,342 (four hundred seventy-seven thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 23 × 1,153. Its proper divisors sum to 602,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7489E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
4,704
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
243,774
Square (n²)
227,855,384,964
Cube (n³)
108,764,945,169,485,688
Divisor count
24
σ(n) — sum of divisors
1,080,144
φ(n) — Euler's totient
152,064
Sum of prime factors
1,184

Primality

Prime factorization: 2 × 3 2 × 23 × 1153

Nearest primes: 477,341 (−1) · 477,359 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 23 · 46 · 69 · 138 · 207 · 414 · 1153 · 2306 · 3459 · 6918 · 10377 · 20754 · 26519 · 53038 · 79557 · 159114 · 238671 (half) · 477342
Aliquot sum (sum of proper divisors): 602,802
Factor pairs (a × b = 477,342)
1 × 477342
2 × 238671
3 × 159114
6 × 79557
9 × 53038
18 × 26519
23 × 20754
46 × 10377
69 × 6918
138 × 3459
207 × 2306
414 × 1153
First multiples
477,342 · 954,684 (double) · 1,432,026 · 1,909,368 · 2,386,710 · 2,864,052 · 3,341,394 · 3,818,736 · 4,296,078 · 4,773,420

Sums & aliquot sequence

As consecutive integers: 159,113 + 159,114 + 159,115 119,334 + 119,335 + 119,336 + 119,337 53,034 + 53,035 + … + 53,042 39,773 + 39,774 + … + 39,784
Aliquot sequence: 477,342 602,802 770,427 524,841 237,207 87,769 10,151 1 0 — terminates at zero

Continued fraction of √n

√477,342 = [690; (1, 8, 1, 16, 6, 3, 1, 1, 2, 1, 1, 1, 3, 5, 2, 2, 3, 4, 1, 50, 2, 1, 2, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-seven thousand three hundred forty-two
Ordinal
477342nd
Binary
1110100100010011110
Octal
1644236
Hexadecimal
0x7489E
Base64
B0ie
One's complement
4,294,489,953 (32-bit)
Scientific notation
4.77342 × 10⁵
As a duration
477,342 s = 5 days, 12 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 220020210100
quaternary (4) 1310202132
quinary (5) 110233332
senary (6) 14121530
septenary (7) 4025445
nonary (9) 806710
undecimal (11) 2a66a8
duodecimal (12) 1b02a6
tridecimal (13) 139368
tetradecimal (14) c5d5c
pentadecimal (15) 9667c
Palindromic in base 14

As an angle

477,342° = 1,325 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοζτμβʹ
Chinese
四十七萬七千三百四十二
Chinese (financial)
肆拾柒萬柒仟參佰肆拾貳
In other modern scripts
Eastern Arabic ٤٧٧٣٤٢ Devanagari ४७७३४२ Bengali ৪৭৭৩৪২ Tamil ௪௭௭௩௪௨ Thai ๔๗๗๓๔๒ Tibetan ༤༧༧༣༤༢ Khmer ៤៧៧៣៤២ Lao ໔໗໗໓໔໒ Burmese ၄၇၇၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477342, here are decompositions:

  • 13 + 477329 = 477342
  • 29 + 477313 = 477342
  • 83 + 477259 = 477342
  • 113 + 477229 = 477342
  • 179 + 477163 = 477342
  • 193 + 477149 = 477342
  • 211 + 477131 = 477342
  • 251 + 477091 = 477342

Showing the first eight; more decompositions exist.

Hex color
#07489E
RGB(7, 72, 158)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.72.158.

Address
0.7.72.158
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.72.158

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 477,342 and was likely granted around 1892.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.