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473,744

473,744 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.).

473,744 (four hundred seventy-three thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 1,021. Its proper divisors sum to 476,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73A90.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
9,408
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
447,374
Square (n²)
224,433,377,536
Cube (n³)
106,323,966,007,414,784
Divisor count
20
σ(n) — sum of divisors
950,460
φ(n) — Euler's totient
228,480
Sum of prime factors
1,058

Primality

Prime factorization: 2 4 × 29 × 1021

Nearest primes: 473,743 (−1) · 473,761 (+17)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 232 · 464 · 1021 · 2042 · 4084 · 8168 · 16336 · 29609 · 59218 · 118436 · 236872 (half) · 473744
Aliquot sum (sum of proper divisors): 476,716
Factor pairs (a × b = 473,744)
1 × 473744
2 × 236872
4 × 118436
8 × 59218
16 × 29609
29 × 16336
58 × 8168
116 × 4084
232 × 2042
464 × 1021
First multiples
473,744 · 947,488 (double) · 1,421,232 · 1,894,976 · 2,368,720 · 2,842,464 · 3,316,208 · 3,789,952 · 4,263,696 · 4,737,440

Sums & aliquot sequence

As a sum of two squares: 20² + 688² = 460² + 512²
As consecutive integers: 16,322 + 16,323 + … + 16,350 14,789 + 14,790 + … + 14,820 47 + 48 + … + 974
Aliquot sequence: 473,744 476,716 357,544 420,056 550,984 629,816 737,464 966,056 1,264,984 1,507,016 1,914,424 1,734,896 1,743,304 1,539,896 1,473,304 1,683,896 1,473,424 — unresolved within range

Continued fraction of √n

√473,744 = [688; (3, 2, 3, 1, 2, 1, 1, 5, 3, 68, 1, 1, 16, 1, 2, 2, 1, 2, 19, 55, 86, 55, 19, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand seven hundred forty-four
Ordinal
473744th
Binary
1110011101010010000
Octal
1635220
Hexadecimal
0x73A90
Base64
BzqQ
One's complement
4,294,493,551 (32-bit)
Scientific notation
4.73744 × 10⁵
As a duration
473,744 s = 5 days, 11 hours, 35 minutes, 44 seconds
In other bases
ternary (3) 220001212002
quaternary (4) 1303222100
quinary (5) 110124434
senary (6) 14053132
septenary (7) 4012115
nonary (9) 801762
undecimal (11) 2a3a27
duodecimal (12) 1aa1a8
tridecimal (13) 13782b
tetradecimal (14) c490c
pentadecimal (15) 9557e

As an angle

473,744° = 1,315 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογψμδʹ
Chinese
四十七萬三千七百四十四
Chinese (financial)
肆拾柒萬參仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ٤٧٣٧٤٤ Devanagari ४७३७४४ Bengali ৪৭৩৭৪৪ Tamil ௪௭௩௭௪௪ Thai ๔๗๓๗๔๔ Tibetan ༤༧༣༧༤༤ Khmer ៤៧៣៧៤៤ Lao ໔໗໓໗໔໔ Burmese ၄၇၃၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473744, here are decompositions:

  • 3 + 473741 = 473744
  • 97 + 473647 = 473744
  • 127 + 473617 = 473744
  • 211 + 473533 = 473744
  • 241 + 473503 = 473744
  • 367 + 473377 = 473744
  • 433 + 473311 = 473744
  • 457 + 473287 = 473744

Showing the first eight; more decompositions exist.

Hex color
#073A90
RGB(7, 58, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.58.144.

Address
0.7.58.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.58.144

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 473,744 and was likely granted around 1891.

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°.