Live analysis

472,020

472,020 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.).

472,020 (four hundred seventy-two thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 7,867. Its proper divisors sum to 849,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733D4.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,008 472,009 472,010 472,011 472,012 472,013 472,014 472,015 472,016 472,017 472,018 472,019 472,020 472,021 472,022 472,023 472,024 472,025 472,026 472,027 472,028 472,029 472,030 472,031 472,032

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 20,274
Square (n²): 222,802,880,400
Cube (n³): 105,167,415,606,408,000
Divisor count: 24
σ(n) — sum of divisors: 1,321,824
φ(n) — Euler's totient: 125,856
Sum of prime factors: 7,879

Primality

Prime factorization: 2 ² × 3 × 5 × 7867

Nearest primes: 472,019 (−1) · 472,027 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 7867 · 15734 · 23601 · 31468 · 39335 · 47202 · 78670 · 94404 · 118005 · 157340 · 236010 (half) · 472020

Aliquot sum (sum of proper divisors): 849,804

Factor pairs (a × b = 472,020)

1 × 472020

2 × 236010

3 × 157340

4 × 118005

5 × 94404

6 × 78670

10 × 47202

12 × 39335

15 × 31468

20 × 23601

30 × 15734

60 × 7867

First multiples

472,020 · 944,040 (double) · 1,416,060 · 1,888,080 · 2,360,100 · 2,832,120 · 3,304,140 · 3,776,160 · 4,248,180 · 4,720,200

Sums & aliquot sequence

As consecutive integers: 157,339 + 157,340 + 157,341 94,402 + 94,403 + 94,404 + 94,405 + 94,406 58,999 + 59,000 + … + 59,006 31,461 + 31,462 + … + 31,475

Aliquot sequence: 472,020 → 849,804 → 1,219,956 → 1,626,636 → 2,514,228 → 3,352,332 → 4,930,404 → 6,688,476 → 11,132,964 → 17,971,650 → 30,313,392 → 47,996,328 → 72,740,472 → 135,089,928 → 230,778,822 → 230,778,834 → 311,472,750 — unresolved within range

Continued fraction of √n

√472,020 = [687; (26, 1, 16, 4, 1, 2, 3, 1, 1, 85, 3, 5, 1, 2, 68, 2, 1, 5, 3, 85, 1, 1, 3, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand twenty
Ordinal: 472020th
Binary: 1110011001111010100
Octal: 1631724
Hexadecimal: 0x733D4
Base64: BzPU
One's complement: 4,294,495,275 (32-bit)
Scientific notation: 4.7202 × 10⁵
As a duration: 472,020 s = 5 days, 11 hours, 7 minutes

In other bases

ternary (3) 212222111020

quaternary (4) 1303033110

quinary (5) 110101040

senary (6) 14041140

septenary (7) 4004103

nonary (9) 788436

undecimal (11) 2a26aa

duodecimal (12) 1a91b0

tridecimal (13) 136b03

tetradecimal (14) c403a

pentadecimal (15) 94cd0

As an angle

472,020° = 1,311 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆
Greek (Milesian): ͵υοβκʹ
Chinese: 四十七萬二千零二十
Chinese (financial): 肆拾柒萬貳仟零貳拾

In other modern scripts

Eastern Arabic ٤٧٢٠٢٠ Devanagari ४७२०२० Bengali ৪৭২০২০ Tamil ௪௭௨௦௨௦ Thai ๔๗๒๐๒๐ Tibetan ༤༧༢༠༢༠ Khmer ៤៧២០២០ Lao ໔໗໒໐໒໐ Burmese ၄၇၂၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472020, here are decompositions:

23 + 471997 = 472020
61 + 471959 = 472020
71 + 471949 = 472020
89 + 471931 = 472020
97 + 471923 = 472020
113 + 471907 = 472020
127 + 471893 = 472020
149 + 471871 = 472020

Showing the first eight; more decompositions exist.

Hex color

#0733D4

RGB(7, 51, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.212.

Address: 0.7.51.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.212

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 472,020 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 US472,020 on Google Patents ↗ Look up on USPTO ↗