number.wiki
Live analysis

476,112

476,112 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.).

476,112 (four hundred seventy-six thousand one hundred twelve) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 13 × 109. Its proper divisors sum to 1,051,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x743D0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
336
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
211,674
Square (n²)
226,682,636,544
Cube (n³)
107,926,323,450,236,928
Divisor count
80
σ(n) — sum of divisors
1,527,680
φ(n) — Euler's totient
124,416
Sum of prime factors
140

Primality

Prime factorization: 2 4 × 3 × 7 × 13 × 109

Nearest primes: 476,111 (−1) · 476,137 (+25)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 16 · 21 · 24 · 26 · 28 · 39 · 42 · 48 · 52 · 56 · 78 · 84 · 91 · 104 · 109 · 112 · 156 · 168 · 182 · 208 · 218 · 273 · 312 · 327 · 336 · 364 · 436 · 546 · 624 · 654 · 728 · 763 · 872 · 1092 · 1308 · 1417 · 1456 · 1526 · 1744 · 2184 · 2289 · 2616 · 2834 · 3052 · 4251 · 4368 · 4578 · 5232 · 5668 · 6104 · 8502 · 9156 · 9919 · 11336 · 12208 · 17004 · 18312 · 19838 · 22672 · 29757 · 34008 · 36624 · 39676 · 59514 · 68016 · 79352 · 119028 · 158704 · 238056 (half) · 476112
Aliquot sum (sum of proper divisors): 1,051,568
Factor pairs (a × b = 476,112)
1 × 476112
2 × 238056
3 × 158704
4 × 119028
6 × 79352
7 × 68016
8 × 59514
12 × 39676
13 × 36624
14 × 34008
16 × 29757
21 × 22672
24 × 19838
26 × 18312
28 × 17004
39 × 12208
42 × 11336
48 × 9919
52 × 9156
56 × 8502
78 × 6104
84 × 5668
91 × 5232
104 × 4578
109 × 4368
112 × 4251
156 × 3052
168 × 2834
182 × 2616
208 × 2289
218 × 2184
273 × 1744
312 × 1526
327 × 1456
336 × 1417
364 × 1308
436 × 1092
546 × 872
624 × 763
654 × 728
First multiples
476,112 · 952,224 (double) · 1,428,336 · 1,904,448 · 2,380,560 · 2,856,672 · 3,332,784 · 3,808,896 · 4,285,008 · 4,761,120

Sums & aliquot sequence

As consecutive integers: 158,703 + 158,704 + 158,705 68,013 + 68,014 + … + 68,019 36,618 + 36,619 + … + 36,630 22,662 + 22,663 + … + 22,682
Aliquot sequence: 476,112 1,051,568 1,344,112 1,905,680 3,343,984 4,180,336 3,919,096 3,429,224 3,036,796 3,036,852 6,829,004 8,139,124 9,097,676 9,283,540 13,397,216 16,747,024 21,992,684 — unresolved within range

Continued fraction of √n

√476,112 = [690; (115, 1380)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-six thousand one hundred twelve
Ordinal
476112th
Binary
1110100001111010000
Octal
1641720
Hexadecimal
0x743D0
Base64
B0PQ
One's complement
4,294,491,183 (32-bit)
Scientific notation
4.76112 × 10⁵
As a duration
476,112 s = 5 days, 12 hours, 15 minutes, 12 seconds
In other bases
ternary (3) 220012002210
quaternary (4) 1310033100
quinary (5) 110213422
senary (6) 14112120
septenary (7) 4022040
nonary (9) 805083
undecimal (11) 2a578a
duodecimal (12) 1ab640
tridecimal (13) 138930
tetradecimal (14) c5720
pentadecimal (15) 9610c

As an angle

476,112° = 1,322 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵υοϛριβʹ
Chinese
四十七萬六千一百一十二
Chinese (financial)
肆拾柒萬陸仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ٤٧٦١١٢ Devanagari ४७६११२ Bengali ৪৭৬১১২ Tamil ௪௭௬௧௧௨ Thai ๔๗๖๑๑๒ Tibetan ༤༧༦༡༡༢ Khmer ៤៧៦១១២ Lao ໔໗໖໑໑໒ Burmese ၄၇၆၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476112, here are decompositions:

  • 5 + 476107 = 476112
  • 11 + 476101 = 476112
  • 23 + 476089 = 476112
  • 31 + 476081 = 476112
  • 53 + 476059 = 476112
  • 71 + 476041 = 476112
  • 73 + 476039 = 476112
  • 83 + 476029 = 476112

Showing the first eight; more decompositions exist.

Hex color
#0743D0
RGB(7, 67, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.67.208.

Address
0.7.67.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.67.208

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 476,112 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 476112 first appears in π at position 680,809 of the decimal expansion (the 680,809ordinal-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°.