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473,988

473,988 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.).

473,988 (four hundred seventy-three thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 39,499. Its proper divisors sum to 632,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B84.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
48,384
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
889,374
Square (n²)
224,664,624,144
Cube (n³)
106,488,335,868,766,272
Divisor count
12
σ(n) — sum of divisors
1,106,000
φ(n) — Euler's totient
157,992
Sum of prime factors
39,506

Primality

Prime factorization: 2 2 × 3 × 39499

Nearest primes: 473,987 (−1) · 473,999 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 39499 · 78998 · 118497 · 157996 · 236994 (half) · 473988
Aliquot sum (sum of proper divisors): 632,012
Factor pairs (a × b = 473,988)
1 × 473988
2 × 236994
3 × 157996
4 × 118497
6 × 78998
12 × 39499
First multiples
473,988 · 947,976 (double) · 1,421,964 · 1,895,952 · 2,369,940 · 2,843,928 · 3,317,916 · 3,791,904 · 4,265,892 · 4,739,880

Sums & aliquot sequence

As consecutive integers: 157,995 + 157,996 + 157,997 59,245 + 59,246 + … + 59,252 19,738 + 19,739 + … + 19,761
Aliquot sequence: 473,988 632,012 474,016 459,266 232,954 118,586 73,018 46,502 23,254 20,522 11,350 9,854 6,106 3,398 1,702 1,034 694 — unresolved within range

Continued fraction of √n

√473,988 = [688; (2, 7, 3, 1, 1, 2, 1, 2, 2, 1, 4, 1, 3, 1, 1, 1, 1, 13, 1, 2, 1, 3, 6, 49, …)]

Representations

In words
four hundred seventy-three thousand nine hundred eighty-eight
Ordinal
473988th
Binary
1110011101110000100
Octal
1635604
Hexadecimal
0x73B84
Base64
BzuE
One's complement
4,294,493,307 (32-bit)
Scientific notation
4.73988 × 10⁵
As a duration
473,988 s = 5 days, 11 hours, 39 minutes, 48 seconds
In other bases
ternary (3) 220002012010
quaternary (4) 1303232010
quinary (5) 110131423
senary (6) 14054220
septenary (7) 4012614
nonary (9) 802163
undecimal (11) 2a4129
duodecimal (12) 1aa370
tridecimal (13) 137988
tetradecimal (14) c4a44
pentadecimal (15) 95693

As an angle

473,988° = 1,316 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογϡπηʹ
Chinese
四十七萬三千九百八十八
Chinese (financial)
肆拾柒萬參仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ٤٧٣٩٨٨ Devanagari ४७३९८८ Bengali ৪৭৩৯৮৮ Tamil ௪௭௩௯௮௮ Thai ๔๗๓๙๘๘ Tibetan ༤༧༣༩༨༨ Khmer ៤៧៣៩៨៨ Lao ໔໗໓໙໘໘ Burmese ၄၇၃၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473988, here are decompositions:

  • 7 + 473981 = 473988
  • 17 + 473971 = 473988
  • 37 + 473951 = 473988
  • 59 + 473929 = 473988
  • 61 + 473927 = 473988
  • 89 + 473899 = 473988
  • 101 + 473887 = 473988
  • 127 + 473861 = 473988

Showing the first eight; more decompositions exist.

Hex color
#073B84
RGB(7, 59, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.132.

Address
0.7.59.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.132

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 473,988 and was likely granted around 1892.

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

Position in π

The digit sequence 473988 first appears in π at position 343,009 of the decimal expansion (the 343,009ordinal-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°.