Live analysis

472,972

472,972 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.).

472,972 (four hundred seventy-two thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 23 × 53 × 97. Written other ways, in hexadecimal, 0x7378C.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,960 472,961 472,962 472,963 472,964 472,965 472,966 472,967 472,968 472,969 472,970 472,971 472,972 472,973 472,974 472,975 472,976 472,977 472,978 472,979 472,980 472,981 472,982 472,983 472,984

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Properties

Parity: Even
Digit count: 6
Digit sum: 31
Digit product: 7,056
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 279,274
Square (n²): 223,702,512,784
Cube (n³): 105,805,024,876,474,048
Divisor count: 24
σ(n) — sum of divisors: 889,056
φ(n) — Euler's totient: 219,648
Sum of prime factors: 177

Primality

Prime factorization: 2 ² × 23 × 53 × 97

Nearest primes: 472,963 (−9) · 472,993 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 23 · 46 · 53 · 92 · 97 · 106 · 194 · 212 · 388 · 1219 · 2231 · 2438 · 4462 · 4876 · 5141 · 8924 · 10282 · 20564 · 118243 · 236486 (half) · 472972

Aliquot sum (sum of proper divisors): 416,084

Factor pairs (a × b = 472,972)

1 × 472972

2 × 236486

4 × 118243

23 × 20564

46 × 10282

53 × 8924

92 × 5141

97 × 4876

106 × 4462

194 × 2438

212 × 2231

388 × 1219

First multiples

472,972 · 945,944 (double) · 1,418,916 · 1,891,888 · 2,364,860 · 2,837,832 · 3,310,804 · 3,783,776 · 4,256,748 · 4,729,720

Sums & aliquot sequence

As consecutive integers: 59,118 + 59,119 + … + 59,125 20,553 + 20,554 + … + 20,575 8,898 + 8,899 + … + 8,950 4,828 + 4,829 + … + 4,924

Aliquot sequence: 472,972 → 416,084 → 312,070 → 300,938 → 191,542 → 125,978 → 62,992 → 63,984 → 110,608 → 111,600 → 288,176 → 378,448 → 494,512 → 495,504 → 1,012,336 → 1,181,968 → 1,182,960 — unresolved within range

Continued fraction of √n

√472,972 = [687; (1, 2, 1, 2, 3, 5, 4, 57, 13, 1, 7, 14, 1, 1, 1, 37, 1, 1, 4, 1, 2, 2, 1, 2, …)]

Representations

In words: four hundred seventy-two thousand nine hundred seventy-two
Ordinal: 472972nd
Binary: 1110011011110001100
Octal: 1633614
Hexadecimal: 0x7378C
Base64: BzeM
One's complement: 4,294,494,323 (32-bit)
Scientific notation: 4.72972 × 10⁵
As a duration: 472,972 s = 5 days, 11 hours, 22 minutes, 52 seconds

In other bases

ternary (3) 220000210111

quaternary (4) 1303132030

quinary (5) 110113342

senary (6) 14045404

septenary (7) 4006633

nonary (9) 800714

undecimal (11) 2a3395

duodecimal (12) 1a9864

tridecimal (13) 137386

tetradecimal (14) c451a

pentadecimal (15) 95217

As an angle

472,972° = 1,313 × 360° + 292°

292° ≈ 5.096 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοβϡοβʹ
Chinese: 四十七萬二千九百七十二
Chinese (financial): 肆拾柒萬貳仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٢٩٧٢ Devanagari ४७२९७२ Bengali ৪৭২৯৭২ Tamil ௪௭௨௯௭௨ Thai ๔๗๒๙๗๒ Tibetan ༤༧༢༩༧༢ Khmer ៤៧២៩៧២ Lao ໔໗໒໙໗໒ Burmese ၄၇၂၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472972, here are decompositions:

89 + 472883 = 472972
113 + 472859 = 472972
173 + 472799 = 472972
179 + 472793 = 472972
251 + 472721 = 472972
263 + 472709 = 472972
281 + 472691 = 472972
431 + 472541 = 472972

Showing the first eight; more decompositions exist.

Hex color

#07378C

RGB(7, 55, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.140.

Address: 0.7.55.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.140

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 472,972 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 US472,972 on Google Patents ↗ Look up on USPTO ↗