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471,138

471,138 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.).

471,138 (four hundred seventy-one thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 17 × 31 × 149. Its proper divisors sum to 565,662, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73062.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
672
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
831,174
Square (n²)
221,971,015,044
Cube (n³)
104,578,980,085,800,072
Divisor count
32
σ(n) — sum of divisors
1,036,800
φ(n) — Euler's totient
142,080
Sum of prime factors
202

Primality

Prime factorization: 2 × 3 × 17 × 31 × 149

Nearest primes: 471,137 (−1) · 471,139 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 17 · 31 · 34 · 51 · 62 · 93 · 102 · 149 · 186 · 298 · 447 · 527 · 894 · 1054 · 1581 · 2533 · 3162 · 4619 · 5066 · 7599 · 9238 · 13857 · 15198 · 27714 · 78523 · 157046 · 235569 (half) · 471138
Aliquot sum (sum of proper divisors): 565,662
Factor pairs (a × b = 471,138)
1 × 471138
2 × 235569
3 × 157046
6 × 78523
17 × 27714
31 × 15198
34 × 13857
51 × 9238
62 × 7599
93 × 5066
102 × 4619
149 × 3162
186 × 2533
298 × 1581
447 × 1054
527 × 894
First multiples
471,138 · 942,276 (double) · 1,413,414 · 1,884,552 · 2,355,690 · 2,826,828 · 3,297,966 · 3,769,104 · 4,240,242 · 4,711,380

Sums & aliquot sequence

As consecutive integers: 157,045 + 157,046 + 157,047 117,783 + 117,784 + 117,785 + 117,786 39,256 + 39,257 + … + 39,267 27,706 + 27,707 + … + 27,722
Aliquot sequence: 471,138 565,662 615,138 615,150 1,038,762 1,211,928 1,817,952 3,126,288 6,015,984 11,316,240 32,252,400 90,478,832 90,479,824 100,023,856 100,024,848 273,284,592 559,614,480 — unresolved within range

Continued fraction of √n

√471,138 = [686; (2, 1, 1, 7, 3, 2, 4, 1, 3, 1, 2, 1, 2, 2, 1, 12, 1, 1, 1, 2, 80, 2, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand one hundred thirty-eight
Ordinal
471138th
Binary
1110011000001100010
Octal
1630142
Hexadecimal
0x73062
Base64
BzBi
One's complement
4,294,496,157 (32-bit)
Scientific notation
4.71138 × 10⁵
As a duration
471,138 s = 5 days, 10 hours, 52 minutes, 18 seconds
In other bases
ternary (3) 212221021120
quaternary (4) 1303001202
quinary (5) 110034023
senary (6) 14033110
septenary (7) 4001403
nonary (9) 787246
undecimal (11) 2a1a78
duodecimal (12) 1a8796
tridecimal (13) 1365a5
tetradecimal (14) c39aa
pentadecimal (15) 948e3

As an angle

471,138° = 1,308 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοαρληʹ
Chinese
四十七萬一千一百三十八
Chinese (financial)
肆拾柒萬壹仟壹佰參拾捌
In other modern scripts
Eastern Arabic ٤٧١١٣٨ Devanagari ४७११३८ Bengali ৪৭১১৩৮ Tamil ௪௭௧௧௩௮ Thai ๔๗๑๑๓๘ Tibetan ༤༧༡༡༣༨ Khmer ៤៧១១៣៨ Lao ໔໗໑໑໓໘ Burmese ၄၇၁၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471138, here are decompositions:

  • 37 + 471101 = 471138
  • 47 + 471091 = 471138
  • 97 + 471041 = 471138
  • 131 + 471007 = 471138
  • 139 + 470999 = 471138
  • 179 + 470959 = 471138
  • 181 + 470957 = 471138
  • 191 + 470947 = 471138

Showing the first eight; more decompositions exist.

Hex color
#073062
RGB(7, 48, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.98.

Address
0.7.48.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.48.98

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 471,138 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°.