Live analysis

1,042,000

1,042,000 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.).

1,042,000 (one million forty-two thousand) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 521. Its proper divisors sum to 1,482,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE650.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,988 1,041,989 1,041,990 1,041,991 1,041,992 1,041,993 1,041,994 1,041,995 1,041,996 1,041,997 1,041,998 1,041,999 1,042,000 1,042,001 1,042,002 1,042,003 1,042,004 1,042,005 1,042,006 1,042,007 1,042,008 1,042,009 1,042,010 1,042,011 1,042,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 2,401
Square (n²): 1,085,764,000,000
Cube (n³): 1,131,366,088,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 2,524,392
φ(n) — Euler's totient: 416,000
Sum of prime factors: 544

Primality

Prime factorization: 2 ⁴ × 5 ³ × 521

Nearest primes: 1,041,991 (−9) · 1,042,001 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 125 · 200 · 250 · 400 · 500 · 521 · 1000 · 1042 · 2000 · 2084 · 2605 · 4168 · 5210 · 8336 · 10420 · 13025 · 20840 · 26050 · 41680 · 52100 · 65125 · 104200 · 130250 · 208400 · 260500 · 521000 (half) · 1042000

Aliquot sum (sum of proper divisors): 1,482,392

Factor pairs (a × b = 1,042,000)

1 × 1042000

2 × 521000

4 × 260500

5 × 208400

8 × 130250

10 × 104200

16 × 65125

20 × 52100

25 × 41680

40 × 26050

50 × 20840

80 × 13025

100 × 10420

125 × 8336

200 × 5210

250 × 4168

400 × 2605

500 × 2084

521 × 2000

1000 × 1042

First multiples

1,042,000 · 2,084,000 (double) · 3,126,000 · 4,168,000 · 5,210,000 · 6,252,000 · 7,294,000 · 8,336,000 · 9,378,000 · 10,420,000

Sums & aliquot sequence

As a sum of two squares: 40² + 1,020² = 324² + 968² = 580² + 840² = 644² + 792²

As consecutive integers: 208,398 + 208,399 + 208,400 + 208,401 + 208,402 41,668 + 41,669 + … + 41,692 32,547 + 32,548 + … + 32,578 8,274 + 8,275 + … + 8,398

Aliquot sequence: 1,042,000 → 1,482,392 → 1,297,108 → 1,079,686 → 539,846 → 269,926 → 161,102 → 83,098 → 41,552 → 53,866 → 30,518 → 15,262 → 9,434 → 5,146 → 2,918 → 1,462 → 914 — unresolved within range

Continued fraction of √n

√1,042,000 = [1020; (1, 3, 1, 1, 1, 2, 2, 1, 4, 2, 4, 1, 1, 1, 6, 1, 7, 1, 31, 81, 1, 1, 1, 2, …)]

Representations

In words: one million forty-two thousand
Ordinal: 1042000th
Binary: 11111110011001010000
Octal: 3763120
Hexadecimal: 0xFE650
Base64: D+ZQ
One's complement: 4,293,925,295 (32-bit)
Scientific notation: 1.042 × 10⁶
As a duration: 1,042,000 s = 12 days, 1 hour, 26 minutes, 40 seconds

In other bases

ternary (3) 1221221100121

quaternary (4) 3332121100

quinary (5) 231321000

senary (6) 34200024

septenary (7) 11566621

nonary (9) 1857317

undecimal (11) 651963

duodecimal (12) 423014

tridecimal (13) 2a638b

tetradecimal (14) 1d1a48

pentadecimal (15) 158b1a

As an angle

1,042,000° = 2,894 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼
Chinese: 一百零四萬二千
Chinese (financial): 壹佰零肆萬貳仟

In other modern scripts

Eastern Arabic ١٠٤٢٠٠٠ Devanagari १०४२००० Bengali ১০৪২০০০ Tamil ௧௦௪௨௦௦௦ Thai ๑๐๔๒๐๐๐ Tibetan ༡༠༤༢༠༠༠ Khmer ១០៤២០០០ Lao ໑໐໔໒໐໐໐ Burmese ၁၀၄၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042000, here are decompositions:

17 + 1041983 = 1042000
107 + 1041893 = 1042000
131 + 1041869 = 1042000
137 + 1041863 = 1042000
263 + 1041737 = 1042000
269 + 1041731 = 1042000
347 + 1041653 = 1042000
383 + 1041617 = 1042000

Showing the first eight; more decompositions exist.

Hex color

#0FE650

RGB(15, 230, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.80.

Address: 0.15.230.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.80

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 2000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2000-04-01 (DMMYYYY (Euro, single-digit day))
2000-10-04 (MMDYYYY (US, single-digit day))
2000-04-10 (DDMYYYY (Euro, single-digit month))

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 1,042,000 and was likely granted around 1912.

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

Look up US1,042,000 on Google Patents ↗ Look up on USPTO ↗