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473,960

473,960 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.).

473,960 (four hundred seventy-three thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 17² × 41. Its proper divisors sum to 686,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B68.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
69,374
Square (n²)
224,638,081,600
Cube (n³)
106,469,465,155,136,000
Divisor count
48
σ(n) — sum of divisors
1,160,460
φ(n) — Euler's totient
174,080
Sum of prime factors
86

Primality

Prime factorization: 2 3 × 5 × 17 2 × 41

Nearest primes: 473,953 (−7) · 473,971 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 41 · 68 · 82 · 85 · 136 · 164 · 170 · 205 · 289 · 328 · 340 · 410 · 578 · 680 · 697 · 820 · 1156 · 1394 · 1445 · 1640 · 2312 · 2788 · 2890 · 3485 · 5576 · 5780 · 6970 · 11560 · 11849 · 13940 · 23698 · 27880 · 47396 · 59245 · 94792 · 118490 · 236980 (half) · 473960
Aliquot sum (sum of proper divisors): 686,500
Factor pairs (a × b = 473,960)
1 × 473960
2 × 236980
4 × 118490
5 × 94792
8 × 59245
10 × 47396
17 × 27880
20 × 23698
34 × 13940
40 × 11849
41 × 11560
68 × 6970
82 × 5780
85 × 5576
136 × 3485
164 × 2890
170 × 2788
205 × 2312
289 × 1640
328 × 1445
340 × 1394
410 × 1156
578 × 820
680 × 697
First multiples
473,960 · 947,920 (double) · 1,421,880 · 1,895,840 · 2,369,800 · 2,843,760 · 3,317,720 · 3,791,680 · 4,265,640 · 4,739,600

Sums & aliquot sequence

As a sum of two squares: 58² + 686² = 94² + 682² = 238² + 646² = 334² + 602²
As consecutive integers: 94,790 + 94,791 + 94,792 + 94,793 + 94,794 29,615 + 29,616 + … + 29,630 27,872 + 27,873 + … + 27,888 11,540 + 11,541 + … + 11,580
Aliquot sequence: 473,960 686,500 813,908 617,452 561,404 421,060 488,660 559,156 494,736 901,008 1,620,966 1,863,834 2,436,966 3,935,862 5,810,394 5,836,038 6,734,058 — unresolved within range

Continued fraction of √n

√473,960 = [688; (2, 4, 3, 1, 3, 1, 1, 4, 4, 1, 6, 4, 1, 1, 1, 1, 1, 1, 2, 4, 2, 1, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand nine hundred sixty
Ordinal
473960th
Binary
1110011101101101000
Octal
1635550
Hexadecimal
0x73B68
Base64
Bzto
One's complement
4,294,493,335 (32-bit)
Scientific notation
4.7396 × 10⁵
As a duration
473,960 s = 5 days, 11 hours, 39 minutes, 20 seconds
In other bases
ternary (3) 220002011002
quaternary (4) 1303231220
quinary (5) 110131320
senary (6) 14054132
septenary (7) 4012544
nonary (9) 802132
undecimal (11) 2a4103
duodecimal (12) 1aa348
tridecimal (13) 137966
tetradecimal (14) c4a24
pentadecimal (15) 95675

As an angle

473,960° = 1,316 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υογϡξʹ
Chinese
四十七萬三千九百六十
Chinese (financial)
肆拾柒萬參仟玖佰陸拾
In other modern scripts
Eastern Arabic ٤٧٣٩٦٠ Devanagari ४७३९६० Bengali ৪৭৩৯৬০ Tamil ௪௭௩௯௬௦ Thai ๔๗๓๙๖๐ Tibetan ༤༧༣༩༦༠ Khmer ៤៧៣៩៦០ Lao ໔໗໓໙໖໐ Burmese ၄၇၃၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473960, here are decompositions:

  • 7 + 473953 = 473960
  • 31 + 473929 = 473960
  • 37 + 473923 = 473960
  • 61 + 473899 = 473960
  • 73 + 473887 = 473960
  • 103 + 473857 = 473960
  • 127 + 473833 = 473960
  • 199 + 473761 = 473960

Showing the first eight; more decompositions exist.

Hex color
#073B68
RGB(7, 59, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.104.

Address
0.7.59.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.104

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 473,960 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°.