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471,408

471,408 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.).

471,408 (four hundred seventy-one thousand four hundred eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 23 × 61. Its proper divisors sum to 1,004,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73170.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
804,174
Square (n²)
222,225,502,464
Cube (n³)
104,758,879,665,549,312
Divisor count
80
σ(n) — sum of divisors
1,476,096
φ(n) — Euler's totient
126,720
Sum of prime factors
102

Primality

Prime factorization: 2 4 × 3 × 7 × 23 × 61

Nearest primes: 471,407 (−1) · 471,439 (+31)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 23 · 24 · 28 · 42 · 46 · 48 · 56 · 61 · 69 · 84 · 92 · 112 · 122 · 138 · 161 · 168 · 183 · 184 · 244 · 276 · 322 · 336 · 366 · 368 · 427 · 483 · 488 · 552 · 644 · 732 · 854 · 966 · 976 · 1104 · 1281 · 1288 · 1403 · 1464 · 1708 · 1932 · 2562 · 2576 · 2806 · 2928 · 3416 · 3864 · 4209 · 5124 · 5612 · 6832 · 7728 · 8418 · 9821 · 10248 · 11224 · 16836 · 19642 · 20496 · 22448 · 29463 · 33672 · 39284 · 58926 · 67344 · 78568 · 117852 · 157136 · 235704 (half) · 471408
Aliquot sum (sum of proper divisors): 1,004,688
Factor pairs (a × b = 471,408)
1 × 471408
2 × 235704
3 × 157136
4 × 117852
6 × 78568
7 × 67344
8 × 58926
12 × 39284
14 × 33672
16 × 29463
21 × 22448
23 × 20496
24 × 19642
28 × 16836
42 × 11224
46 × 10248
48 × 9821
56 × 8418
61 × 7728
69 × 6832
84 × 5612
92 × 5124
112 × 4209
122 × 3864
138 × 3416
161 × 2928
168 × 2806
183 × 2576
184 × 2562
244 × 1932
276 × 1708
322 × 1464
336 × 1403
366 × 1288
368 × 1281
427 × 1104
483 × 976
488 × 966
552 × 854
644 × 732
First multiples
471,408 · 942,816 (double) · 1,414,224 · 1,885,632 · 2,357,040 · 2,828,448 · 3,299,856 · 3,771,264 · 4,242,672 · 4,714,080

Sums & aliquot sequence

As consecutive integers: 157,135 + 157,136 + 157,137 67,341 + 67,342 + … + 67,347 22,438 + 22,439 + … + 22,458 20,485 + 20,486 + … + 20,507
Aliquot sequence: 471,408 1,004,688 1,807,446 1,807,458 1,807,470 3,883,410 7,031,790 12,736,530 21,094,254 26,355,330 42,168,762 52,581,894 52,581,906 73,256,814 89,028,738 103,866,900 196,655,532 — unresolved within range

Continued fraction of √n

√471,408 = [686; (1, 1, 2, 4, 2, 1, 5, 2, 3, 1, 2, 10, 1, 84, 1, 10, 2, 1, 3, 2, 5, 1, 2, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand four hundred eight
Ordinal
471408th
Binary
1110011000101110000
Octal
1630560
Hexadecimal
0x73170
Base64
BzFw
One's complement
4,294,495,887 (32-bit)
Scientific notation
4.71408 × 10⁵
As a duration
471,408 s = 5 days, 10 hours, 56 minutes, 48 seconds
In other bases
ternary (3) 212221122120
quaternary (4) 1303011300
quinary (5) 110041113
senary (6) 14034240
septenary (7) 4002240
nonary (9) 787576
undecimal (11) 2a21a3
duodecimal (12) 1a8980
tridecimal (13) 136752
tetradecimal (14) c3b20
pentadecimal (15) 94a23

As an angle

471,408° = 1,309 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοαυηʹ
Chinese
四十七萬一千四百零八
Chinese (financial)
肆拾柒萬壹仟肆佰零捌
In other modern scripts
Eastern Arabic ٤٧١٤٠٨ Devanagari ४७१४०८ Bengali ৪৭১৪০৮ Tamil ௪௭௧௪௦௮ Thai ๔๗๑๔๐๘ Tibetan ༤༧༡༤༠༨ Khmer ៤៧១៤០៨ Lao ໔໗໑໔໐໘ Burmese ၄၇၁၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471408, here are decompositions:

  • 5 + 471403 = 471408
  • 17 + 471391 = 471408
  • 19 + 471389 = 471408
  • 107 + 471301 = 471408
  • 109 + 471299 = 471408
  • 127 + 471281 = 471408
  • 131 + 471277 = 471408
  • 149 + 471259 = 471408

Showing the first eight; more decompositions exist.

Hex color
#073170
RGB(7, 49, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.112.

Address
0.7.49.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.112

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 471,408 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 471408 first appears in π at position 224,272 of the decimal expansion (the 224,272ordinal-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°.