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467,808

467,808 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.).

467,808 (four hundred sixty-seven thousand eight hundred eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 443. Its proper divisors sum to 874,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72360.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
808,764
Square (n²)
218,844,324,864
Cube (n³)
102,377,125,925,978,112
Divisor count
48
σ(n) — sum of divisors
1,342,656
φ(n) — Euler's totient
141,440
Sum of prime factors
467

Primality

Prime factorization: 2 5 × 3 × 11 × 443

Nearest primes: 467,783 (−25) · 467,813 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 132 · 176 · 264 · 352 · 443 · 528 · 886 · 1056 · 1329 · 1772 · 2658 · 3544 · 4873 · 5316 · 7088 · 9746 · 10632 · 14176 · 14619 · 19492 · 21264 · 29238 · 38984 · 42528 · 58476 · 77968 · 116952 · 155936 · 233904 (half) · 467808
Aliquot sum (sum of proper divisors): 874,848
Factor pairs (a × b = 467,808)
1 × 467808
2 × 233904
3 × 155936
4 × 116952
6 × 77968
8 × 58476
11 × 42528
12 × 38984
16 × 29238
22 × 21264
24 × 19492
32 × 14619
33 × 14176
44 × 10632
48 × 9746
66 × 7088
88 × 5316
96 × 4873
132 × 3544
176 × 2658
264 × 1772
352 × 1329
443 × 1056
528 × 886
First multiples
467,808 · 935,616 (double) · 1,403,424 · 1,871,232 · 2,339,040 · 2,806,848 · 3,274,656 · 3,742,464 · 4,210,272 · 4,678,080

Sums & aliquot sequence

As consecutive integers: 155,935 + 155,936 + 155,937 42,523 + 42,524 + … + 42,533 14,160 + 14,161 + … + 14,192 7,278 + 7,279 + … + 7,341
Aliquot sequence: 467,808 → 874,848 → 1,601,808 → 3,147,888 → 4,984,280 → 8,066,440 → 10,083,140 → 11,091,496 → 11,305,004 → 8,900,020 → 9,790,064 → 9,178,216 → 8,936,984 → 10,213,816 → 9,002,984 → 7,974,616 → 8,128,184 — unresolved within range

Continued fraction of √n

√467,808 = [683; (1, 27, 2, 341, 2, 27, 1, 1366)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand eight hundred eight
Ordinal
467808th
Binary
1110010001101100000
Octal
1621540
Hexadecimal
0x72360
Base64
ByNg
One's complement
4,294,499,487 (32-bit)
Scientific notation
4.67808 × 10⁵
As a duration
467,808 s = 5 days, 9 hours, 56 minutes, 48 seconds
In other bases
ternary (3) 212202201020
quaternary (4) 1302031200
quinary (5) 104432213
senary (6) 14005440
septenary (7) 3655605
nonary (9) 782636
undecimal (11) 29a520
duodecimal (12) 1a6880
tridecimal (13) 134c13
tetradecimal (14) c26ac
pentadecimal (15) 93923

As an angle

467,808° = 1,299 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξζωηʹ
Chinese
四十六萬七千八百零八
Chinese (financial)
肆拾陸萬柒仟捌佰零捌
In other modern scripts
Eastern Arabic ٤٦٧٨٠٨ Devanagari ४६७८०८ Bengali ৪৬৭৮০৮ Tamil ௪௬௭௮௦௮ Thai ๔๖๗๘๐๘ Tibetan ༤༦༧༨༠༨ Khmer ៤៦៧៨០៨ Lao ໔໖໗໘໐໘ Burmese ၄၆၇၈၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467808, here are decompositions:

  • 59 + 467749 = 467808
  • 71 + 467737 = 467808
  • 79 + 467729 = 467808
  • 109 + 467699 = 467808
  • 127 + 467681 = 467808
  • 137 + 467671 = 467808
  • 139 + 467669 = 467808
  • 151 + 467657 = 467808

Showing the first eight; more decompositions exist.

Hex color
#072360
RGB(7, 35, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.35.96.

Address
0.7.35.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.35.96

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 467,808 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 467808 first appears in π at position 363,153 of the decimal expansion (the 363,153ordinal-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°.