Live analysis

472,998

472,998 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.).

472,998 (four hundred seventy-two thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 2,543. Its proper divisors sum to 503,898, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737A6.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,986 472,987 472,988 472,989 472,990 472,991 472,992 472,993 472,994 472,995 472,996 472,997 472,998 472,999 473,000 473,001 473,002 473,003 473,004 473,005 473,006 473,007 473,008 473,009 473,010

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 36,288
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 899,274
Square (n²): 223,727,108,004
Cube (n³): 105,822,474,631,675,992
Divisor count: 16
σ(n) — sum of divisors: 976,896
φ(n) — Euler's totient: 152,520
Sum of prime factors: 2,579

Primality

Prime factorization: 2 × 3 × 31 × 2543

Nearest primes: 472,993 (−5) · 473,009 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 2543 · 5086 · 7629 · 15258 · 78833 · 157666 · 236499 (half) · 472998

Aliquot sum (sum of proper divisors): 503,898

Factor pairs (a × b = 472,998)

1 × 472998

2 × 236499

3 × 157666

6 × 78833

31 × 15258

62 × 7629

93 × 5086

186 × 2543

First multiples

472,998 · 945,996 (double) · 1,418,994 · 1,891,992 · 2,364,990 · 2,837,988 · 3,310,986 · 3,783,984 · 4,256,982 · 4,729,980

Sums & aliquot sequence

As consecutive integers: 157,665 + 157,666 + 157,667 118,248 + 118,249 + 118,250 + 118,251 39,411 + 39,412 + … + 39,422 15,243 + 15,244 + … + 15,273

Aliquot sequence: 472,998 → 503,898 → 503,910 → 928,170 → 1,485,306 → 2,015,334 → 2,463,306 → 2,463,318 → 4,239,882 → 5,035,098 → 5,088,102 → 5,088,114 → 6,103,326 → 6,918,882 → 6,918,894 → 8,072,082 → 10,092,078 — unresolved within range

Continued fraction of √n

√472,998 = [687; (1, 2, 1, 40, 1, 13, 1, 1, 1, 10, 1, 2, 2, 3, 4, 1, 15, 5, 2, 5, 1, 7, 1, 1, …)]

Representations

In words: four hundred seventy-two thousand nine hundred ninety-eight
Ordinal: 472998th
Binary: 1110011011110100110
Octal: 1633646
Hexadecimal: 0x737A6
Base64: Bzem
One's complement: 4,294,494,297 (32-bit)
Scientific notation: 4.72998 × 10⁵
As a duration: 472,998 s = 5 days, 11 hours, 23 minutes, 18 seconds

In other bases

ternary (3) 220000211110

quaternary (4) 1303132212

quinary (5) 110113443

senary (6) 14045450

septenary (7) 4010001

nonary (9) 800743

undecimal (11) 2a3409

duodecimal (12) 1a9886

tridecimal (13) 1373a6

tetradecimal (14) c4538

pentadecimal (15) 95233

As an angle

472,998° = 1,313 × 360° + 318°

318° ≈ 5.55 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβϡϟηʹ
Chinese: 四十七萬二千九百九十八
Chinese (financial): 肆拾柒萬貳仟玖佰玖拾捌

In other modern scripts

Eastern Arabic ٤٧٢٩٩٨ Devanagari ४७२९९८ Bengali ৪৭২৯৯৮ Tamil ௪௭௨௯௯௮ Thai ๔๗๒๙๙๘ Tibetan ༤༧༢༩༩༨ Khmer ៤៧២៩៩៨ Lao ໔໗໒໙໙໘ Burmese ၄၇၂၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472998, here are decompositions:

5 + 472993 = 472998
59 + 472939 = 472998
61 + 472937 = 472998
89 + 472909 = 472998
139 + 472859 = 472998
151 + 472847 = 472998
167 + 472831 = 472998
181 + 472817 = 472998

Showing the first eight; more decompositions exist.

Hex color

#0737A6

RGB(7, 55, 166)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.166.

Address: 0.7.55.166
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.166

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 472,998 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 US472,998 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472998 first appears in π at position 564,587 of the decimal expansion (the 564,587ordinal-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.

Look up 472998 on Pi Search ↗