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462,042

462,042 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.).

462,042 (four hundred sixty-two thousand forty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 7 × 19 × 193. Its proper divisors sum to 748,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70CDA.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
240,264
Square (n²)
213,482,809,764
Cube (n³)
98,638,024,388,978,088
Divisor count
48
σ(n) — sum of divisors
1,210,560
φ(n) — Euler's totient
124,416
Sum of prime factors
227

Primality

Prime factorization: 2 × 3 2 × 7 × 19 × 193

Nearest primes: 462,041 (−1) · 462,067 (+25)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 19 · 21 · 38 · 42 · 57 · 63 · 114 · 126 · 133 · 171 · 193 · 266 · 342 · 386 · 399 · 579 · 798 · 1158 · 1197 · 1351 · 1737 · 2394 · 2702 · 3474 · 3667 · 4053 · 7334 · 8106 · 11001 · 12159 · 22002 · 24318 · 25669 · 33003 · 51338 · 66006 · 77007 · 154014 · 231021 (half) · 462042
Aliquot sum (sum of proper divisors): 748,518
Factor pairs (a × b = 462,042)
1 × 462042
2 × 231021
3 × 154014
6 × 77007
7 × 66006
9 × 51338
14 × 33003
18 × 25669
19 × 24318
21 × 22002
38 × 12159
42 × 11001
57 × 8106
63 × 7334
114 × 4053
126 × 3667
133 × 3474
171 × 2702
193 × 2394
266 × 1737
342 × 1351
386 × 1197
399 × 1158
579 × 798
First multiples
462,042 · 924,084 (double) · 1,386,126 · 1,848,168 · 2,310,210 · 2,772,252 · 3,234,294 · 3,696,336 · 4,158,378 · 4,620,420

Sums & aliquot sequence

As consecutive integers: 154,013 + 154,014 + 154,015 115,509 + 115,510 + 115,511 + 115,512 66,003 + 66,004 + … + 66,009 51,334 + 51,335 + … + 51,342
Aliquot sequence: 462,042 → 748,518 → 748,530 → 1,197,882 → 1,845,318 → 2,039,802 → 2,409,798 → 2,437,098 → 2,437,110 → 4,390,074 → 6,034,158 → 8,236,098 → 11,330,358 → 13,920,042 → 15,557,910 → 21,781,146 → 23,636,454 — unresolved within range

Continued fraction of √n

√462,042 = [679; (1, 2, 1, 3, 1, 20, 1, 3, 1, 2, 1, 1358)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-two thousand forty-two
Ordinal
462042nd
Binary
1110000110011011010
Octal
1606332
Hexadecimal
0x70CDA
Base64
Bwza
One's complement
4,294,505,253 (32-bit)
Scientific notation
4.62042 × 10⁵
As a duration
462,042 s = 5 days, 8 hours, 20 minutes, 42 seconds
In other bases
ternary (3) 212110210200
quaternary (4) 1300303122
quinary (5) 104241132
senary (6) 13523030
septenary (7) 3633030
nonary (9) 773720
undecimal (11) 296159
duodecimal (12) 1a3476
tridecimal (13) 1323c9
tetradecimal (14) c0550
pentadecimal (15) 91d7c

As an angle

462,042° = 1,283 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υξβμβʹ
Chinese
四十六萬二千零四十二
Chinese (financial)
肆拾陸萬貳仟零肆拾貳
In other modern scripts
Eastern Arabic ٤٦٢٠٤٢ Devanagari ४६२०४२ Bengali ৪৬২০৪২ Tamil ௪௬௨௦௪௨ Thai ๔๖๒๐๔๒ Tibetan ༤༦༢༠༤༢ Khmer ៤៦២០៤២ Lao ໔໖໒໐໔໒ Burmese ၄၆၂၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 462042, here are decompositions:

  • 29 + 462013 = 462042
  • 59 + 461983 = 462042
  • 71 + 461971 = 462042
  • 109 + 461933 = 462042
  • 151 + 461891 = 462042
  • 181 + 461861 = 462042
  • 199 + 461843 = 462042
  • 223 + 461819 = 462042

Showing the first eight; more decompositions exist.

Hex color
#070CDA
RGB(7, 12, 218)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.12.218.

Address
0.7.12.218
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.12.218

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 462,042 and was likely granted around 1891.

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

Position in π

The digit sequence 462042 first appears in π at position 675,943 of the decimal expansion (the 675,943ordinal-suffix:rd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.