Live analysis

1,021,000

1,021,000 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.).

1,021,000 (one million twenty-one thousand) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 1,021. Its proper divisors sum to 1,370,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9448.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,020,988 1,020,989 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,201
Square (n²): 1,042,441,000,000
Cube (n³): 1,064,332,261,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 2,391,480
φ(n) — Euler's totient: 408,000
Sum of prime factors: 1,042

Primality

Prime factorization: 2 ³ × 5 ³ × 1021

Nearest primes: 1,020,997 (−3) · 1,021,001 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 1000 · 1021 · 2042 · 4084 · 5105 · 8168 · 10210 · 20420 · 25525 · 40840 · 51050 · 102100 · 127625 · 204200 · 255250 · 510500 (half) · 1021000

Aliquot sum (sum of proper divisors): 1,370,480

Factor pairs (a × b = 1,021,000)

1 × 1021000

2 × 510500

4 × 255250

5 × 204200

8 × 127625

10 × 102100

20 × 51050

25 × 40840

40 × 25525

50 × 20420

100 × 10210

125 × 8168

200 × 5105

250 × 4084

500 × 2042

1000 × 1021

First multiples

1,021,000 · 2,042,000 (double) · 3,063,000 · 4,084,000 · 5,105,000 · 6,126,000 · 7,147,000 · 8,168,000 · 9,189,000 · 10,210,000

Sums & aliquot sequence

As a sum of two squares: 30² + 1,010² = 254² + 978² = 582² + 826² = 630² + 790²

As consecutive integers: 204,198 + 204,199 + 204,200 + 204,201 + 204,202 63,805 + 63,806 + … + 63,820 40,828 + 40,829 + … + 40,852 12,723 + 12,724 + … + 12,802

Aliquot sequence: 1,021,000 → 1,370,480 → 1,909,072 → 2,126,384 → 2,310,832 → 2,166,436 → 1,659,176 → 1,473,964 → 1,105,480 → 1,470,320 → 1,948,360 → 2,507,000 → 3,670,600 → 4,864,010 → 3,917,686 → 2,323,274 → 1,161,640 — unresolved within range

Continued fraction of √n

√1,021,000 = [1010; (2, 4, 12, 9, 1, 35, 5, 2, 1, 3, 3, 9, 1, 2, 1, 40, 2, 224, 20, 4, 1, 8, 5, 1, …)]

Representations

In words: one million twenty-one thousand
Ordinal: 1021000th
Binary: 11111001010001001000
Octal: 3712110
Hexadecimal: 0xF9448
Base64: D5RI
One's complement: 4,293,946,295 (32-bit)
Scientific notation: 1.021 × 10⁶
As a duration: 1,021,000 s = 11 days, 19 hours, 36 minutes, 40 seconds

In other bases

ternary (3) 1220212112211

quaternary (4) 3321101020

quinary (5) 230133000

senary (6) 33514504

septenary (7) 11451451

nonary (9) 1825484

undecimal (11) 638102

duodecimal (12) 412a34

tridecimal (13) 299956

tetradecimal (14) 1c8128

pentadecimal (15) 1527ba

As an angle

1,021,000° = 2,836 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ١٠٢١٠٠٠ Devanagari १०२१००० Bengali ১০২১০০০ Tamil ௧௦௨௧௦௦௦ Thai ๑๐๒๑๐๐๐ Tibetan ༡༠༢༡༠༠༠ Khmer ១០២១០០០ Lao ໑໐໒໑໐໐໐ Burmese ၁၀၂၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021000, here are decompositions:

3 + 1020997 = 1021000
11 + 1020989 = 1021000
23 + 1020977 = 1021000
41 + 1020959 = 1021000
107 + 1020893 = 1021000
173 + 1020827 = 1021000
179 + 1020821 = 1021000
257 + 1020743 = 1021000

Showing the first eight; more decompositions exist.

Hex color

#0F9448

RGB(15, 148, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.72.

Address: 0.15.148.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.148.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 1000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1000-02-01 (DMMYYYY (Euro, single-digit day))
1000-10-02 (MMDYYYY (US, single-digit day))
1000-02-10 (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 1,021,000 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 US1,021,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1021000 first appears in π at position 158,072 of the decimal expansion (the 158,072ordinal-suffix:nd 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.

Look up 1021000 on Pi Search ↗