Live analysis

472,100

472,100 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.).

472,100 (four hundred seventy-two thousand one hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 4,721. Its proper divisors sum to 552,574, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73424.

Abundant Number Cube-Free Evil Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,088 472,089 472,090 472,091 472,092 472,093 472,094 472,095 472,096 472,097 472,098 472,099 472,100 472,101 472,102 472,103 472,104 472,105 472,106 472,107 472,108 472,109 472,110 472,111 472,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 1,274
Square (n²): 222,878,410,000
Cube (n³): 105,220,897,361,000,000
Divisor count: 18
σ(n) — sum of divisors: 1,024,674
φ(n) — Euler's totient: 188,800
Sum of prime factors: 4,735

Primality

Prime factorization: 2 ² × 5 ² × 4721

Nearest primes: 472,067 (−33) · 472,103 (+3)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 4721 · 9442 · 18884 · 23605 · 47210 · 94420 · 118025 · 236050 (half) · 472100

Aliquot sum (sum of proper divisors): 552,574

Factor pairs (a × b = 472,100)

1 × 472100

2 × 236050

4 × 118025

5 × 94420

10 × 47210

20 × 23605

25 × 18884

50 × 9442

100 × 4721

First multiples

472,100 · 944,200 (double) · 1,416,300 · 1,888,400 · 2,360,500 · 2,832,600 · 3,304,700 · 3,776,800 · 4,248,900 · 4,721,000

Sums & aliquot sequence

As a sum of two squares: 184² + 662² = 250² + 640² = 362² + 584²

As consecutive integers: 94,418 + 94,419 + 94,420 + 94,421 + 94,422 59,009 + 59,010 + … + 59,016 18,872 + 18,873 + … + 18,896 11,783 + 11,784 + … + 11,822

Aliquot sequence: 472,100 → 552,574 → 351,674 → 175,840 → 301,952 → 387,568 → 363,376 → 395,256 → 618,504 → 927,816 → 1,430,424 → 2,443,836 → 3,258,476 → 2,931,988 → 2,198,998 → 1,099,502 → 549,754 — unresolved within range

Continued fraction of √n

√472,100 = [687; (10, 2, 22, 1, 4, 2, 2, 3, 2, 1, 1, 46, 1, 3, 1, 10, 3, 1, 1, 7, 44, 5, 11, 1, …)]

Representations

In words: four hundred seventy-two thousand one hundred
Ordinal: 472100th
Binary: 1110011010000100100
Octal: 1632044
Hexadecimal: 0x73424
Base64: BzQk
One's complement: 4,294,495,195 (32-bit)
Scientific notation: 4.721 × 10⁵
As a duration: 472,100 s = 5 days, 11 hours, 8 minutes, 20 seconds

In other bases

ternary (3) 212222121012

quaternary (4) 1303100210

quinary (5) 110101400

senary (6) 14041352

septenary (7) 4004246

nonary (9) 788535

undecimal (11) 2a2772

duodecimal (12) 1a9258

tridecimal (13) 136b65

tetradecimal (14) c4096

pentadecimal (15) 94d35

As an angle

472,100° = 1,311 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢
Greek (Milesian): ͵υοβρʹ
Chinese: 四十七萬二千一百
Chinese (financial): 肆拾柒萬貳仟壹佰

In other modern scripts

Eastern Arabic ٤٧٢١٠٠ Devanagari ४७२१०० Bengali ৪৭২১০০ Tamil ௪௭௨௧௦௦ Thai ๔๗๒๑๐๐ Tibetan ༤༧༢༡༠༠ Khmer ៤៧២១០០ Lao ໔໗໒໑໐໐ Burmese ၄၇၂၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472100, here are decompositions:

37 + 472063 = 472100
43 + 472057 = 472100
73 + 472027 = 472100
103 + 471997 = 472100
151 + 471949 = 472100
157 + 471943 = 472100
193 + 471907 = 472100
199 + 471901 = 472100

Showing the first eight; more decompositions exist.

Hex color

#073424

RGB(7, 52, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.36.

Address: 0.7.52.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.52.36

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 472,100 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 US472,100 on Google Patents ↗ Look up on USPTO ↗