Live analysis

1,021,002

1,021,002 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.).

1,021,002 (one million twenty-one thousand two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 170,167. Its proper divisors sum to 1,021,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF944A.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Moran Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,020,990 1,020,991 1,020,992 1,020,993 1,020,994 1,020,995 1,020,996 1,020,997 1,020,998 1,020,999 1,021,000 1,021,001 1,021,002 1,021,003 1,021,004 1,021,005 1,021,006 1,021,007 1,021,008 1,021,009 1,021,010 1,021,011 1,021,012 1,021,013 1,021,014

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,001,201
Square (n²): 1,042,445,084,004
Cube (n³): 1,064,338,515,658,252,008
Divisor count: 8
σ(n) — sum of divisors: 2,042,016
φ(n) — Euler's totient: 340,332
Sum of prime factors: 170,172

Primality

Prime factorization: 2 × 3 × 170167

Nearest primes: 1,021,001 (−1) · 1,021,019 (+17)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 170167 · 340334 · 510501 (half) · 1021002

Aliquot sum (sum of proper divisors): 1,021,014

Factor pairs (a × b = 1,021,002)

1 × 1021002

2 × 510501

3 × 340334

6 × 170167

First multiples

1,021,002 · 2,042,004 (double) · 3,063,006 · 4,084,008 · 5,105,010 · 6,126,012 · 7,147,014 · 8,168,016 · 9,189,018 · 10,210,020

Sums & aliquot sequence

As consecutive integers: 340,333 + 340,334 + 340,335 255,249 + 255,250 + 255,251 + 255,252 85,078 + 85,079 + … + 85,089

Aliquot sequence: 1,021,002 → 1,021,014 → 1,213,218 → 1,505,652 → 2,007,564 → 3,340,884 → 4,865,356 → 3,649,024 → 3,642,920 → 4,693,600 → 6,766,604 → 5,985,940 → 6,658,412 → 5,097,724 → 3,840,660 → 8,433,420 → 15,180,324 — unresolved within range

Continued fraction of √n

√1,021,002 = [1010; (2, 4, 5, 1, 42, 6, 3, 4, 1, 4, 2, 1, 4, 9, 1, 16, 4, 2, 6, 18, 1, 10, 10, 2, …)]

Representations

In words: one million twenty-one thousand two
Ordinal: 1021002nd
Binary: 11111001010001001010
Octal: 3712112
Hexadecimal: 0xF944A
Base64: D5RK
One's complement: 4,293,946,293 (32-bit)
Scientific notation: 1.021002 × 10⁶
As a duration: 1,021,002 s = 11 days, 19 hours, 36 minutes, 42 seconds

In other bases

ternary (3) 1220212112220

quaternary (4) 3321101022

quinary (5) 230133002

senary (6) 33514510

septenary (7) 11451453

nonary (9) 1825486

undecimal (11) 638104

duodecimal (12) 412a36

tridecimal (13) 299958

tetradecimal (14) 1c812a

pentadecimal (15) 1527bc

As an angle

1,021,002° = 2,836 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓏺𓏺
Chinese: 一百零二萬一千零二
Chinese (financial): 壹佰零貳萬壹仟零貳

In other modern scripts

Eastern Arabic ١٠٢١٠٠٢ Devanagari १०२१००२ Bengali ১০২১০০২ Tamil ௧௦௨௧௦௦௨ Thai ๑๐๒๑๐๐๒ Tibetan ༡༠༢༡༠༠༢ Khmer ១០២១០០២ Lao ໑໐໒໑໐໐໒ Burmese ၁၀၂၁၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021002, here are decompositions:

5 + 1020997 = 1021002
11 + 1020991 = 1021002
13 + 1020989 = 1021002
23 + 1020979 = 1021002
29 + 1020973 = 1021002
41 + 1020961 = 1021002
43 + 1020959 = 1021002
71 + 1020931 = 1021002

Showing the first eight; more decompositions exist.

Hex color

#0F944A

RGB(15, 148, 74)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.74.

Address: 0.15.148.74
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.148.74

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 1002 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1002-02-01 (DMMYYYY (Euro, single-digit day))
1002-10-02 (MMDYYYY (US, single-digit day))
1002-02-10 (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 1,021,002 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 US1,021,002 on Google Patents ↗ Look up on USPTO ↗