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473,144

473,144 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.).

473,144 (four hundred seventy-three thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 7² × 17 × 71. Its proper divisors sum to 634,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73838.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,344
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
441,374
Square (n²)
223,865,244,736
Cube (n³)
105,920,497,355,369,984
Divisor count
48
σ(n) — sum of divisors
1,108,080
φ(n) — Euler's totient
188,160
Sum of prime factors
108

Primality

Prime factorization: 2 3 × 7 2 × 17 × 71

Nearest primes: 473,141 (−3) · 473,147 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 14 · 17 · 28 · 34 · 49 · 56 · 68 · 71 · 98 · 119 · 136 · 142 · 196 · 238 · 284 · 392 · 476 · 497 · 568 · 833 · 952 · 994 · 1207 · 1666 · 1988 · 2414 · 3332 · 3479 · 3976 · 4828 · 6664 · 6958 · 8449 · 9656 · 13916 · 16898 · 27832 · 33796 · 59143 · 67592 · 118286 · 236572 (half) · 473144
Aliquot sum (sum of proper divisors): 634,936
Factor pairs (a × b = 473,144)
1 × 473144
2 × 236572
4 × 118286
7 × 67592
8 × 59143
14 × 33796
17 × 27832
28 × 16898
34 × 13916
49 × 9656
56 × 8449
68 × 6958
71 × 6664
98 × 4828
119 × 3976
136 × 3479
142 × 3332
196 × 2414
238 × 1988
284 × 1666
392 × 1207
476 × 994
497 × 952
568 × 833
First multiples
473,144 · 946,288 (double) · 1,419,432 · 1,892,576 · 2,365,720 · 2,838,864 · 3,312,008 · 3,785,152 · 4,258,296 · 4,731,440

Sums & aliquot sequence

As consecutive integers: 67,589 + 67,590 + … + 67,595 29,564 + 29,565 + … + 29,579 27,824 + 27,825 + … + 27,840 9,632 + 9,633 + … + 9,680
Aliquot sequence: 473,144 634,936 555,584 547,030 527,354 263,680 374,672 351,286 228,314 114,160 151,448 158,512 148,636 111,484 88,100 103,294 51,650 — unresolved within range

Continued fraction of √n

√473,144 = [687; (1, 5, 1, 7, 3, 1, 1, 7, 2, 3, 24, 1, 2, 1, 1, 1, 2, 2, 26, 28, 26, 2, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand one hundred forty-four
Ordinal
473144th
Binary
1110011100000111000
Octal
1634070
Hexadecimal
0x73838
Base64
Bzg4
One's complement
4,294,494,151 (32-bit)
Scientific notation
4.73144 × 10⁵
As a duration
473,144 s = 5 days, 11 hours, 25 minutes, 44 seconds
In other bases
ternary (3) 220001000212
quaternary (4) 1303200320
quinary (5) 110120034
senary (6) 14050252
septenary (7) 4010300
nonary (9) 801025
undecimal (11) 2a3531
duodecimal (12) 1a9988
tridecimal (13) 137489
tetradecimal (14) c4600
pentadecimal (15) 952ce

As an angle

473,144° = 1,314 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογρμδʹ
Chinese
四十七萬三千一百四十四
Chinese (financial)
肆拾柒萬參仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ٤٧٣١٤٤ Devanagari ४७३१४४ Bengali ৪৭৩১৪৪ Tamil ௪௭௩௧௪௪ Thai ๔๗๓๑๔๔ Tibetan ༤༧༣༡༤༤ Khmer ៤៧៣១៤៤ Lao ໔໗໓໑໔໔ Burmese ၄၇၃၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473144, here are decompositions:

  • 3 + 473141 = 473144
  • 43 + 473101 = 473144
  • 151 + 472993 = 473144
  • 181 + 472963 = 473144
  • 223 + 472921 = 473144
  • 307 + 472837 = 473144
  • 313 + 472831 = 473144
  • 433 + 472711 = 473144

Showing the first eight; more decompositions exist.

Hex color
#073838
RGB(7, 56, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.56.

Address
0.7.56.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.56.56

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 473,144 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 473144 first appears in π at position 470,572 of the decimal expansion (the 470,572ordinal-suffix:nd 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°.