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475,104

475,104 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.).

475,104 (four hundred seventy-five thousand one hundred four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3 × 7² × 101. Its proper divisors sum to 990,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73FE0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
401,574
Square (n²)
225,723,810,816
Cube (n³)
107,242,285,413,924,864
Divisor count
72
σ(n) — sum of divisors
1,465,128
φ(n) — Euler's totient
134,400
Sum of prime factors
128

Primality

Prime factorization: 2 5 × 3 × 7 2 × 101

Nearest primes: 475,103 (−1) · 475,109 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 49 · 56 · 84 · 96 · 98 · 101 · 112 · 147 · 168 · 196 · 202 · 224 · 294 · 303 · 336 · 392 · 404 · 588 · 606 · 672 · 707 · 784 · 808 · 1176 · 1212 · 1414 · 1568 · 1616 · 2121 · 2352 · 2424 · 2828 · 3232 · 4242 · 4704 · 4848 · 4949 · 5656 · 8484 · 9696 · 9898 · 11312 · 14847 · 16968 · 19796 · 22624 · 29694 · 33936 · 39592 · 59388 · 67872 · 79184 · 118776 · 158368 · 237552 (half) · 475104
Aliquot sum (sum of proper divisors): 990,024
Factor pairs (a × b = 475,104)
1 × 475104
2 × 237552
3 × 158368
4 × 118776
6 × 79184
7 × 67872
8 × 59388
12 × 39592
14 × 33936
16 × 29694
21 × 22624
24 × 19796
28 × 16968
32 × 14847
42 × 11312
48 × 9898
49 × 9696
56 × 8484
84 × 5656
96 × 4949
98 × 4848
101 × 4704
112 × 4242
147 × 3232
168 × 2828
196 × 2424
202 × 2352
224 × 2121
294 × 1616
303 × 1568
336 × 1414
392 × 1212
404 × 1176
588 × 808
606 × 784
672 × 707
First multiples
475,104 · 950,208 (double) · 1,425,312 · 1,900,416 · 2,375,520 · 2,850,624 · 3,325,728 · 3,800,832 · 4,275,936 · 4,751,040

Sums & aliquot sequence

As consecutive integers: 158,367 + 158,368 + 158,369 67,869 + 67,870 + … + 67,875 22,614 + 22,615 + … + 22,634 9,672 + 9,673 + … + 9,720
Aliquot sequence: 475,104 990,024 1,913,016 3,674,184 5,829,816 8,804,184 13,206,336 29,185,248 47,426,280 123,991,320 259,993,320 521,261,400 1,241,572,200 3,140,290,200 6,594,611,280 13,848,684,432 — keeps growing

Continued fraction of √n

√475,104 = [689; (3, 1, 1, 2, 28, 1, 16, 3, 1, 3, 6, 6, 1, 6, 1, 12, 1, 10, 2, 6, 1, 1, 1, 54, …)]

Representations

In words
four hundred seventy-five thousand one hundred four
Ordinal
475104th
Binary
1110011111111100000
Octal
1637740
Hexadecimal
0x73FE0
Base64
Bz/g
One's complement
4,294,492,191 (32-bit)
Scientific notation
4.75104 × 10⁵
As a duration
475,104 s = 5 days, 11 hours, 58 minutes, 24 seconds
In other bases
ternary (3) 220010201110
quaternary (4) 1303333200
quinary (5) 110200404
senary (6) 14103320
septenary (7) 4016100
nonary (9) 803643
undecimal (11) 2a4a53
duodecimal (12) 1aab40
tridecimal (13) 138336
tetradecimal (14) c5200
pentadecimal (15) 95b89

As an angle

475,104° = 1,319 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοερδʹ
Chinese
四十七萬五千一百零四
Chinese (financial)
肆拾柒萬伍仟壹佰零肆
In other modern scripts
Eastern Arabic ٤٧٥١٠٤ Devanagari ४७५१०४ Bengali ৪৭৫১০৪ Tamil ௪௭௫௧௦௪ Thai ๔๗๕๑๐๔ Tibetan ༤༧༥༡༠༤ Khmer ៤៧៥១០៤ Lao ໔໗໕໑໐໔ Burmese ၄၇၅၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475104, here are decompositions:

  • 11 + 475093 = 475104
  • 13 + 475091 = 475104
  • 23 + 475081 = 475104
  • 31 + 475073 = 475104
  • 53 + 475051 = 475104
  • 67 + 475037 = 475104
  • 127 + 474977 = 475104
  • 163 + 474941 = 475104

Showing the first eight; more decompositions exist.

Hex color
#073FE0
RGB(7, 63, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.63.224.

Address
0.7.63.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.63.224

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 475,104 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 475104 first appears in π at position 135,355 of the decimal expansion (the 135,355ordinal-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°.