Live analysis

473,120

473,120 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.).

473,120 (four hundred seventy-three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 2,957. Its proper divisors sum to 645,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73820.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

473,108 473,109 473,110 473,111 473,112 473,113 473,114 473,115 473,116 473,117 473,118 473,119 473,120 473,121 473,122 473,123 473,124 473,125 473,126 473,127 473,128 473,129 473,130 473,131 473,132

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 21,374
Square (n²): 223,842,534,400
Cube (n³): 105,904,379,875,328,000
Divisor count: 24
σ(n) — sum of divisors: 1,118,124
φ(n) — Euler's totient: 189,184
Sum of prime factors: 2,972

Primality

Prime factorization: 2 ⁵ × 5 × 2957

Nearest primes: 473,117 (−3) · 473,141 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 2957 · 5914 · 11828 · 14785 · 23656 · 29570 · 47312 · 59140 · 94624 · 118280 · 236560 (half) · 473120

Aliquot sum (sum of proper divisors): 645,004

Factor pairs (a × b = 473,120)

1 × 473120

2 × 236560

4 × 118280

5 × 94624

8 × 59140

10 × 47312

16 × 29570

20 × 23656

32 × 14785

40 × 11828

80 × 5914

160 × 2957

First multiples

473,120 · 946,240 (double) · 1,419,360 · 1,892,480 · 2,365,600 · 2,838,720 · 3,311,840 · 3,784,960 · 4,258,080 · 4,731,200

Sums & aliquot sequence

As a sum of two squares: 164² + 668² = 436² + 532²

As consecutive integers: 94,622 + 94,623 + 94,624 + 94,625 + 94,626 7,361 + 7,362 + … + 7,424 1,319 + 1,320 + … + 1,638

Aliquot sequence: 473,120 → 645,004 → 494,540 → 560,500 → 749,900 → 877,600 → 1,266,794 → 716,086 → 533,582 → 381,154 → 190,580 → 241,012 → 186,128 → 174,526 → 111,098 → 68,410 → 54,746 — unresolved within range

Continued fraction of √n

√473,120 = [687; (1, 5, 7, 27, 1, 14, 2, 33, 14, 2, 4, 1, 1, 2, 5, 1, 2, 1, 85, 4, 5, 1, 8, 3, …)]

Representations

In words: four hundred seventy-three thousand one hundred twenty
Ordinal: 473120th
Binary: 1110011100000100000
Octal: 1634040
Hexadecimal: 0x73820
Base64: Bzgg
One's complement: 4,294,494,175 (32-bit)
Scientific notation: 4.7312 × 10⁵
As a duration: 473,120 s = 5 days, 11 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 220000222222

quaternary (4) 1303200200

quinary (5) 110114440

senary (6) 14050212

septenary (7) 4010234

nonary (9) 800888

undecimal (11) 2a350a

duodecimal (12) 1a9968

tridecimal (13) 13746b

tetradecimal (14) c45c4

pentadecimal (15) 952b5

As an angle

473,120° = 1,314 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵υογρκʹ
Chinese: 四十七萬三千一百二十
Chinese (financial): 肆拾柒萬參仟壹佰貳拾

In other modern scripts

Eastern Arabic ٤٧٣١٢٠ Devanagari ४७३१२० Bengali ৪৭৩১২০ Tamil ௪௭௩௧௨௦ Thai ๔๗๓๑๒๐ Tibetan ༤༧༣༡༢༠ Khmer ៤៧៣១២០ Lao ໔໗໓໑໒໐ Burmese ၄၇၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473120, here are decompositions:

3 + 473117 = 473120
19 + 473101 = 473120
31 + 473089 = 473120
127 + 472993 = 473120
157 + 472963 = 473120
181 + 472939 = 473120
199 + 472921 = 473120
211 + 472909 = 473120

Showing the first eight; more decompositions exist.

Hex color

#073820

RGB(7, 56, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.32.

Address: 0.7.56.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.56.32

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 473,120 and was likely granted around 1891.

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

Look up US473,120 on Google Patents ↗ Look up on USPTO ↗