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471,380

471,380 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.).

471,380 (four hundred seventy-one thousand three hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 5 × 7² × 13 × 37. Its proper divisors sum to 802,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73154.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
83,174
Square (n²)
222,199,104,400
Cube (n³)
104,740,213,832,072,000
Divisor count
72
σ(n) — sum of divisors
1,273,608
φ(n) — Euler's totient
145,152
Sum of prime factors
73

Primality

Prime factorization: 2 2 × 5 × 7 2 × 13 × 37

Nearest primes: 471,353 (−27) · 471,389 (+9)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 37 · 49 · 52 · 65 · 70 · 74 · 91 · 98 · 130 · 140 · 148 · 182 · 185 · 196 · 245 · 259 · 260 · 364 · 370 · 455 · 481 · 490 · 518 · 637 · 740 · 910 · 962 · 980 · 1036 · 1274 · 1295 · 1813 · 1820 · 1924 · 2405 · 2548 · 2590 · 3185 · 3367 · 3626 · 4810 · 5180 · 6370 · 6734 · 7252 · 9065 · 9620 · 12740 · 13468 · 16835 · 18130 · 23569 · 33670 · 36260 · 47138 · 67340 · 94276 · 117845 · 235690 (half) · 471380
Aliquot sum (sum of proper divisors): 802,228
Factor pairs (a × b = 471,380)
1 × 471380
2 × 235690
4 × 117845
5 × 94276
7 × 67340
10 × 47138
13 × 36260
14 × 33670
20 × 23569
26 × 18130
28 × 16835
35 × 13468
37 × 12740
49 × 9620
52 × 9065
65 × 7252
70 × 6734
74 × 6370
91 × 5180
98 × 4810
130 × 3626
140 × 3367
148 × 3185
182 × 2590
185 × 2548
196 × 2405
245 × 1924
259 × 1820
260 × 1813
364 × 1295
370 × 1274
455 × 1036
481 × 980
490 × 962
518 × 910
637 × 740
First multiples
471,380 · 942,760 (double) · 1,414,140 · 1,885,520 · 2,356,900 · 2,828,280 · 3,299,660 · 3,771,040 · 4,242,420 · 4,713,800

Sums & aliquot sequence

As a sum of two squares: 28² + 686² = 196² + 658² = 238² + 644² = 434² + 532²
As consecutive integers: 94,274 + 94,275 + 94,276 + 94,277 + 94,278 67,337 + 67,338 + … + 67,343 58,919 + 58,920 + … + 58,926 36,254 + 36,255 + … + 36,266
Aliquot sequence: 471,380 802,228 831,278 593,794 300,554 154,966 110,714 56,794 29,786 15,898 7,952 9,904 9,316 8,072 7,078 3,542 3,370 — unresolved within range

Continued fraction of √n

√471,380 = [686; (1, 1, 3, 85, 1, 1, 6, 1, 1, 85, 3, 1, 1, 1372)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand three hundred eighty
Ordinal
471380th
Binary
1110011000101010100
Octal
1630524
Hexadecimal
0x73154
Base64
BzFU
One's complement
4,294,495,915 (32-bit)
Scientific notation
4.7138 × 10⁵
As a duration
471,380 s = 5 days, 10 hours, 56 minutes, 20 seconds
In other bases
ternary (3) 212221121112
quaternary (4) 1303011110
quinary (5) 110041010
senary (6) 14034152
septenary (7) 4002200
nonary (9) 787545
undecimal (11) 2a2178
duodecimal (12) 1a8958
tridecimal (13) 136730
tetradecimal (14) c3b00
pentadecimal (15) 94a05

As an angle

471,380° = 1,309 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοατπʹ
Chinese
四十七萬一千三百八十
Chinese (financial)
肆拾柒萬壹仟參佰捌拾
In other modern scripts
Eastern Arabic ٤٧١٣٨٠ Devanagari ४७१३८० Bengali ৪৭১৩৮০ Tamil ௪௭௧௩௮௦ Thai ๔๗๑๓๘๐ Tibetan ༤༧༡༣༨༠ Khmer ៤៧១៣៨០ Lao ໔໗໑໓໘໐ Burmese ၄၇၁၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471380, here are decompositions:

  • 67 + 471313 = 471380
  • 79 + 471301 = 471380
  • 97 + 471283 = 471380
  • 103 + 471277 = 471380
  • 127 + 471253 = 471380
  • 139 + 471241 = 471380
  • 163 + 471217 = 471380
  • 193 + 471187 = 471380

Showing the first eight; more decompositions exist.

Hex color
#073154
RGB(7, 49, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.84.

Address
0.7.49.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.84

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 471,380 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 471380 first appears in π at position 624,926 of the decimal expansion (the 624,926ordinal-suffix:th 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°.