Live analysis

1,004,020

1,004,020 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.).

1,004,020 (one million four thousand twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 2,953. Its proper divisors sum to 1,229,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51F4.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,008 1,004,009 1,004,010 1,004,011 1,004,012 1,004,013 1,004,014 1,004,015 1,004,016 1,004,017 1,004,018 1,004,019 1,004,020 1,004,021 1,004,022 1,004,023 1,004,024 1,004,025 1,004,026 1,004,027 1,004,028 1,004,029 1,004,030 1,004,031 1,004,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 204,001
Square (n²): 1,008,056,160,400
Cube (n³): 1,012,108,546,164,808,000
Divisor count: 24
σ(n) — sum of divisors: 2,233,224
φ(n) — Euler's totient: 377,856
Sum of prime factors: 2,979

Primality

Prime factorization: 2 ² × 5 × 17 × 2953

Nearest primes: 1,003,963 (−57) · 1,004,027 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 17 · 20 · 34 · 68 · 85 · 170 · 340 · 2953 · 5906 · 11812 · 14765 · 29530 · 50201 · 59060 · 100402 · 200804 · 251005 · 502010 (half) · 1004020

Aliquot sum (sum of proper divisors): 1,229,204

Factor pairs (a × b = 1,004,020)

1 × 1004020

2 × 502010

4 × 251005

5 × 200804

10 × 100402

17 × 59060

20 × 50201

34 × 29530

68 × 14765

85 × 11812

170 × 5906

340 × 2953

First multiples

1,004,020 · 2,008,040 (double) · 3,012,060 · 4,016,080 · 5,020,100 · 6,024,120 · 7,028,140 · 8,032,160 · 9,036,180 · 10,040,200

Sums & aliquot sequence

As a sum of two squares: 4² + 1,002² = 428² + 906² = 468² + 886² = 598² + 804²

As consecutive integers: 200,802 + 200,803 + 200,804 + 200,805 + 200,806 125,499 + 125,500 + … + 125,506 59,052 + 59,053 + … + 59,068 25,081 + 25,082 + … + 25,120

Aliquot sequence: 1,004,020 → 1,229,204 → 921,910 → 1,067,450 → 975,202 → 487,604 → 431,440 → 571,844 → 660,604 → 660,660 → 1,841,868 → 3,479,812 → 4,118,268 → 7,864,836 → 13,108,284 → 26,440,596 → 57,360,576 — unresolved within range

Continued fraction of √n

√1,004,020 = [1002; (125, 3, 1, 124, 1, 1, 500, 1, 1, 124, 1, 3, 125, 2004)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million four thousand twenty
Ordinal: 1004020th
Binary: 11110101000111110100
Octal: 3650764
Hexadecimal: 0xF51F4
Base64: D1H0
One's complement: 4,293,963,275 (32-bit)
Scientific notation: 1.00402 × 10⁶
As a duration: 1,004,020 s = 11 days, 14 hours, 53 minutes, 40 seconds

In other bases

ternary (3) 1220000020221

quaternary (4) 3311013310

quinary (5) 224112040

senary (6) 33304124

septenary (7) 11351113

nonary (9) 1800227

undecimal (11) 626376

duodecimal (12) 405044

tridecimal (13) 291cc4

tetradecimal (14) 1c1c7a

pentadecimal (15) 14c74a

As an angle

1,004,020° = 2,788 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百萬四千零二十
Chinese (financial): 壹佰萬肆仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠٤٠٢٠ Devanagari १००४०२० Bengali ১০০৪০২০ Tamil ௧௦௦௪௦௨௦ Thai ๑๐๐๔๐๒๐ Tibetan ༡༠༠༤༠༢༠ Khmer ១០០៤០២០ Lao ໑໐໐໔໐໒໐ Burmese ၁၀၀၄၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004020, here are decompositions:

89 + 1003931 = 1004020
107 + 1003913 = 1004020
113 + 1003907 = 1004020
131 + 1003889 = 1004020
179 + 1003841 = 1004020
233 + 1003787 = 1004020
257 + 1003763 = 1004020
263 + 1003757 = 1004020

Showing the first eight; more decompositions exist.

Hex color

#0F51F4

RGB(15, 81, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.244.

Address: 0.15.81.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.244

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 1,004,020 and was likely granted around 1911.

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

Look up US1,004,020 on Google Patents ↗ Look up on USPTO ↗