number.wiki
Live analysis

501,042

501,042 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.).

501,042 (five hundred one thousand forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 113 × 739. Its proper divisors sum to 511,278, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A532.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
240,105
Square (n²)
251,043,085,764
Cube (n³)
125,783,129,777,366,088
Divisor count
16
σ(n) — sum of divisors
1,012,320
φ(n) — Euler's totient
165,312
Sum of prime factors
857

Primality

Prime factorization: 2 × 3 × 113 × 739

Nearest primes: 501,037 (−5) · 501,043 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 113 · 226 · 339 · 678 · 739 · 1478 · 2217 · 4434 · 83507 · 167014 · 250521 (half) · 501042
Aliquot sum (sum of proper divisors): 511,278
Factor pairs (a × b = 501,042)
1 × 501042
2 × 250521
3 × 167014
6 × 83507
113 × 4434
226 × 2217
339 × 1478
678 × 739
First multiples
501,042 · 1,002,084 (double) · 1,503,126 · 2,004,168 · 2,505,210 · 3,006,252 · 3,507,294 · 4,008,336 · 4,509,378 · 5,010,420

Sums & aliquot sequence

As consecutive integers: 167,013 + 167,014 + 167,015 125,259 + 125,260 + 125,261 + 125,262 41,748 + 41,749 + … + 41,759 4,378 + 4,379 + … + 4,490
Aliquot sequence: 501,042 511,278 511,290 1,061,190 1,913,418 2,968,290 5,680,350 10,771,722 14,507,532 26,001,748 21,070,592 20,988,796 15,741,604 11,851,640 15,036,040 18,795,140 32,008,060 — unresolved within range

Continued fraction of √n

√501,042 = [707; (1, 5, 2, 1, 1, 1, 5, 4, 2, 45, 4, 1, 1, 7, 1, 4, 1, 1, 1, 1, 9, 3, 2, 2, …)]

Representations

In words
five hundred one thousand forty-two
Ordinal
501042nd
Binary
1111010010100110010
Octal
1722462
Hexadecimal
0x7A532
Base64
B6Uy
One's complement
4,294,466,253 (32-bit)
Scientific notation
5.01042 × 10⁵
As a duration
501,042 s = 5 days, 19 hours, 10 minutes, 42 seconds
In other bases
ternary (3) 221110022010
quaternary (4) 1322110302
quinary (5) 112013132
senary (6) 14423350
septenary (7) 4154523
nonary (9) 843263
undecimal (11) 312493
duodecimal (12) 201b56
tridecimal (13) 147099
tetradecimal (14) d084a
pentadecimal (15) 9d6cc

As an angle

501,042° = 1,391 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φαμβʹ
Chinese
五十萬一千零四十二
Chinese (financial)
伍拾萬壹仟零肆拾貳
In other modern scripts
Eastern Arabic ٥٠١٠٤٢ Devanagari ५०१०४२ Bengali ৫০১০৪২ Tamil ௫௦௧௦௪௨ Thai ๕๐๑๐๔๒ Tibetan ༥༠༡༠༤༢ Khmer ៥០១០៤២ Lao ໕໐໑໐໔໒ Burmese ၅၀၁၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501042, here are decompositions:

  • 5 + 501037 = 501042
  • 11 + 501031 = 501042
  • 13 + 501029 = 501042
  • 23 + 501019 = 501042
  • 29 + 501013 = 501042
  • 41 + 501001 = 501042
  • 89 + 500953 = 501042
  • 109 + 500933 = 501042

Showing the first eight; more decompositions exist.

Hex color
#07A532
RGB(7, 165, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.50.

Address
0.7.165.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.165.50

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 501,042 and was likely granted around 1893.

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

Position in π

The digit sequence 501042 first appears in π at position 130,848 of the decimal expansion (the 130,848ordinal-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.

Related reading

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