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473,970

473,970 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.).

473,970 (four hundred seventy-three thousand nine hundred seventy) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5 × 7 × 37 × 61. Its proper divisors sum to 883,086, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B72.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
79,374
Square (n²)
224,647,560,900
Cube (n³)
106,476,204,439,773,000
Divisor count
64
σ(n) — sum of divisors
1,357,056
φ(n) — Euler's totient
103,680
Sum of prime factors
115

Primality

Prime factorization: 2 × 3 × 5 × 7 × 37 × 61

Nearest primes: 473,953 (−17) · 473,971 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 21 · 30 · 35 · 37 · 42 · 61 · 70 · 74 · 105 · 111 · 122 · 183 · 185 · 210 · 222 · 259 · 305 · 366 · 370 · 427 · 518 · 555 · 610 · 777 · 854 · 915 · 1110 · 1281 · 1295 · 1554 · 1830 · 2135 · 2257 · 2562 · 2590 · 3885 · 4270 · 4514 · 6405 · 6771 · 7770 · 11285 · 12810 · 13542 · 15799 · 22570 · 31598 · 33855 · 47397 · 67710 · 78995 · 94794 · 157990 · 236985 (half) · 473970
Aliquot sum (sum of proper divisors): 883,086
Factor pairs (a × b = 473,970)
1 × 473970
2 × 236985
3 × 157990
5 × 94794
6 × 78995
7 × 67710
10 × 47397
14 × 33855
15 × 31598
21 × 22570
30 × 15799
35 × 13542
37 × 12810
42 × 11285
61 × 7770
70 × 6771
74 × 6405
105 × 4514
111 × 4270
122 × 3885
183 × 2590
185 × 2562
210 × 2257
222 × 2135
259 × 1830
305 × 1554
366 × 1295
370 × 1281
427 × 1110
518 × 915
555 × 854
610 × 777
First multiples
473,970 · 947,940 (double) · 1,421,910 · 1,895,880 · 2,369,850 · 2,843,820 · 3,317,790 · 3,791,760 · 4,265,730 · 4,739,700

Sums & aliquot sequence

As consecutive integers: 157,989 + 157,990 + 157,991 118,491 + 118,492 + 118,493 + 118,494 94,792 + 94,793 + 94,794 + 94,795 + 94,796 67,707 + 67,708 + … + 67,713
Aliquot sequence: 473,970 883,086 917,058 917,070 1,833,906 2,002,254 2,018,994 2,019,006 3,002,010 4,926,918 4,926,930 6,897,774 8,069,010 11,386,542 11,453,010 17,992,110 25,802,322 — unresolved within range

Continued fraction of √n

√473,970 = [688; (2, 5, 33, 2, 2, 29, 1, 1, 7, 2, 2, 7, 1, 2, 1, 7, 2, 2, 7, 1, 1, 29, 2, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand nine hundred seventy
Ordinal
473970th
Binary
1110011101101110010
Octal
1635562
Hexadecimal
0x73B72
Base64
Bzty
One's complement
4,294,493,325 (32-bit)
Scientific notation
4.7397 × 10⁵
As a duration
473,970 s = 5 days, 11 hours, 39 minutes, 30 seconds
In other bases
ternary (3) 220002011110
quaternary (4) 1303231302
quinary (5) 110131340
senary (6) 14054150
septenary (7) 4012560
nonary (9) 802143
undecimal (11) 2a4112
duodecimal (12) 1aa356
tridecimal (13) 137973
tetradecimal (14) c4a30
pentadecimal (15) 95680

As an angle

473,970° = 1,316 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υογϡοʹ
Chinese
四十七萬三千九百七十
Chinese (financial)
肆拾柒萬參仟玖佰柒拾
In other modern scripts
Eastern Arabic ٤٧٣٩٧٠ Devanagari ४७३९७० Bengali ৪৭৩৯৭০ Tamil ௪௭௩௯௭௦ Thai ๔๗๓๙๗๐ Tibetan ༤༧༣༩༧༠ Khmer ៤៧៣៩៧០ Lao ໔໗໓໙໗໐ Burmese ၄၇၃၉၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473970, here are decompositions:

  • 17 + 473953 = 473970
  • 19 + 473951 = 473970
  • 31 + 473939 = 473970
  • 41 + 473929 = 473970
  • 43 + 473927 = 473970
  • 47 + 473923 = 473970
  • 59 + 473911 = 473970
  • 71 + 473899 = 473970

Showing the first eight; more decompositions exist.

Hex color
#073B72
RGB(7, 59, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.114.

Address
0.7.59.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.114

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 473,970 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°.