Live analysis

1,021,072

1,021,072 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.).

1,021,072 (one million twenty-one thousand seventy-two) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 4,909. Its proper divisors sum to 1,109,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9490.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,021,060 1,021,061 1,021,062 1,021,063 1,021,064 1,021,065 1,021,066 1,021,067 1,021,068 1,021,069 1,021,070 1,021,071 1,021,072 1,021,073 1,021,074 1,021,075 1,021,076 1,021,077 1,021,078 1,021,079 1,021,080 1,021,081 1,021,082 1,021,083 1,021,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,701,201
Square (n²): 1,042,588,029,184
Cube (n³): 1,064,557,444,134,965,248
Divisor count: 20
σ(n) — sum of divisors: 2,130,940
φ(n) — Euler's totient: 471,168
Sum of prime factors: 4,930

Primality

Prime factorization: 2 ⁴ × 13 × 4909

Nearest primes: 1,021,067 (−5) · 1,021,073 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 4909 · 9818 · 19636 · 39272 · 63817 · 78544 · 127634 · 255268 · 510536 (half) · 1021072

Aliquot sum (sum of proper divisors): 1,109,868

Factor pairs (a × b = 1,021,072)

1 × 1021072

2 × 510536

4 × 255268

8 × 127634

13 × 78544

16 × 63817

26 × 39272

52 × 19636

104 × 9818

208 × 4909

First multiples

1,021,072 · 2,042,144 (double) · 3,063,216 · 4,084,288 · 5,105,360 · 6,126,432 · 7,147,504 · 8,168,576 · 9,189,648 · 10,210,720

Sums & aliquot sequence

As a sum of two squares: 524² + 864² = 596² + 816²

As consecutive integers: 78,538 + 78,539 + … + 78,550 31,893 + 31,894 + … + 31,924 2,247 + 2,248 + … + 2,662

Aliquot sequence: 1,021,072 → 1,109,868 → 1,479,852 → 2,752,740 → 5,823,828 → 8,897,606 → 4,909,114 → 3,656,960 → 5,105,668 → 3,963,084 → 5,858,868 → 7,811,852 → 5,858,896 → 5,492,746 → 3,923,414 → 2,547,946 → 1,284,794 — unresolved within range

Continued fraction of √n

√1,021,072 = [1010; (2, 12, 1, 2, 2, 3, 2, 4, 1, 2, 2, 2, 19, 4, 1, 3, 1, 7, 13, 1, 9, 1, 1, 1, …)]

Representations

In words: one million twenty-one thousand seventy-two
Ordinal: 1021072nd
Binary: 11111001010010010000
Octal: 3712220
Hexadecimal: 0xF9490
Base64: D5SQ
One's complement: 4,293,946,223 (32-bit)
Scientific notation: 1.021072 × 10⁶
As a duration: 1,021,072 s = 11 days, 19 hours, 37 minutes, 52 seconds

In other bases

ternary (3) 1220212122111

quaternary (4) 3321102100

quinary (5) 230133242

senary (6) 33515104

septenary (7) 11451613

nonary (9) 1825574

undecimal (11) 638168

duodecimal (12) 412a94

tridecimal (13) 2999b0

tetradecimal (14) 1c817a

pentadecimal (15) 152817

As an angle

1,021,072° = 2,836 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零二萬一千零七十二
Chinese (financial): 壹佰零貳萬壹仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٢١٠٧٢ Devanagari १०२१०७२ Bengali ১০২১০৭২ Tamil ௧௦௨௧௦௭௨ Thai ๑๐๒๑๐๗๒ Tibetan ༡༠༢༡༠༧༢ Khmer ១០២១០៧២ Lao ໑໐໒໑໐໗໒ Burmese ၁၀၂၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021072, here are decompositions:

5 + 1021067 = 1021072
29 + 1021043 = 1021072
53 + 1021019 = 1021072
71 + 1021001 = 1021072
83 + 1020989 = 1021072
113 + 1020959 = 1021072
179 + 1020893 = 1021072
191 + 1020881 = 1021072

Showing the first eight; more decompositions exist.

Hex color

#0F9490

RGB(15, 148, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.144.

Address: 0.15.148.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.148.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 1072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1072-02-01 (DMMYYYY (Euro, single-digit day))
1072-10-02 (MMDYYYY (US, single-digit day))
1072-02-10 (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 1,021,072 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 US1,021,072 on Google Patents ↗ Look up on USPTO ↗