Live analysis

1,001,020

1,001,020 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.).

1,001,020 (one million one thousand twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,051. Its proper divisors sum to 1,101,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF463C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,008 1,001,009 1,001,010 1,001,011 1,001,012 1,001,013 1,001,014 1,001,015 1,001,016 1,001,017 1,001,018 1,001,019 1,001,020 1,001,021 1,001,022 1,001,023 1,001,024 1,001,025 1,001,026 1,001,027 1,001,028 1,001,029 1,001,030 1,001,031 1,001,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 201,001
Square (n²): 1,002,041,040,400
Cube (n³): 1,003,063,122,261,208,000
Divisor count: 12
σ(n) — sum of divisors: 2,102,184
φ(n) — Euler's totient: 400,400
Sum of prime factors: 50,060

Primality

Prime factorization: 2 ² × 5 × 50051

Nearest primes: 1,001,017 (−3) · 1,001,023 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50051 · 100102 · 200204 · 250255 · 500510 (half) · 1001020

Aliquot sum (sum of proper divisors): 1,101,164

Factor pairs (a × b = 1,001,020)

1 × 1001020

2 × 500510

4 × 250255

5 × 200204

10 × 100102

20 × 50051

First multiples

1,001,020 · 2,002,040 (double) · 3,003,060 · 4,004,080 · 5,005,100 · 6,006,120 · 7,007,140 · 8,008,160 · 9,009,180 · 10,010,200

Sums & aliquot sequence

As consecutive integers: 200,202 + 200,203 + 200,204 + 200,205 + 200,206 125,124 + 125,125 + … + 125,131 25,006 + 25,007 + … + 25,045

Aliquot sequence: 1,001,020 → 1,101,164 → 927,436 → 695,584 → 673,910 → 539,146 → 269,576 → 252,664 → 221,096 → 208,204 → 156,160 → 224,396 → 168,304 → 164,760 → 329,880 → 660,120 → 1,320,600 — unresolved within range

Continued fraction of √n

√1,001,020 = [1000; (1, 1, 24, 1, 4, 1, 5, 1, 19, 2, 1, 3, 1, 2, 1, 1, 11, 7, 1, 18, 1, 14, 1, 1, …)]

Representations

In words: one million one thousand twenty
Ordinal: 1001020th
Binary: 11110100011000111100
Octal: 3643074
Hexadecimal: 0xF463C
Base64: D0Y8
One's complement: 4,293,966,275 (32-bit)
Scientific notation: 1.00102 × 10⁶
As a duration: 1,001,020 s = 11 days, 14 hours, 3 minutes, 40 seconds

In other bases

ternary (3) 1212212010211

quaternary (4) 3310120330

quinary (5) 224013040

senary (6) 33242204

septenary (7) 11336266

nonary (9) 1785124

undecimal (11) 624099

duodecimal (12) 403364

tridecimal (13) 290827

tetradecimal (14) 1c0b36

pentadecimal (15) 14b8ea

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆
Chinese: 一百萬一千零二十
Chinese (financial): 壹佰萬壹仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠١٠٢٠ Devanagari १००१०२० Bengali ১০০১০২০ Tamil ௧௦௦௧௦௨௦ Thai ๑๐๐๑๐๒๐ Tibetan ༡༠༠༡༠༢༠ Khmer ១០០១០២០ Lao ໑໐໐໑໐໒໐ Burmese ၁၀၀၁၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001020, here are decompositions:

3 + 1001017 = 1001020
17 + 1001003 = 1001020
47 + 1000973 = 1001020
89 + 1000931 = 1001020
101 + 1000919 = 1001020
113 + 1000907 = 1001020
131 + 1000889 = 1001020
173 + 1000847 = 1001020

Showing the first eight; more decompositions exist.

Hex color

#0F463C

RGB(15, 70, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.60.

Address: 0.15.70.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.60

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 1,001,020 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 US1,001,020 on Google Patents ↗ Look up on USPTO ↗