Live analysis

1,002,001

1,002,001 is a composite number, odd.

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.).

1,002,001 (one million two thousand one) is an odd 7-digit number. It is a composite number with 27 divisors, and factors as 7² × 11² × 13². It is a perfect square (1,001²). Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xF4A11.

Cube-Free Deficient Number Gapful Number Odious Number Palindrome Perfect Square Powerful Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,989 1,001,990 1,001,991 1,001,992 1,001,993 1,001,994 1,001,995 1,001,996 1,001,997 1,001,998 1,001,999 1,002,000 1,002,001 1,002,002 1,002,003 1,002,004 1,002,005 1,002,006 1,002,007 1,002,008 1,002,009 1,002,010 1,002,011 1,002,012 1,002,013

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: Yes
Bit width: 20 bits
Square (n²): 1,004,006,004,001
Cube (n³): 1,006,015,020,015,006,001
Square root (√n): 1,001
Divisor count: 27
σ(n) — sum of divisors: 1,387,323
φ(n) — Euler's totient: 720,720
Sum of prime factors: 62

Primality

Prime factorization: 7 ² × 11 ² × 13 ²

Nearest primes: 1,001,989 (−12) · 1,002,017 (+16)

Divisors & multiples

All divisors (27)

1 · 7 · 11 · 13 · 49 · 77 · 91 · 121 · 143 · 169 · 539 · 637 · 847 · 1001 · 1183 · 1573 · 1859 · 5929 · 7007 · 8281 · 11011 · 13013 · 20449 · 77077 · 91091 · 143143 · 1002001

Aliquot sum (sum of proper divisors): 385,322

Factor pairs (a × b = 1,002,001)

1 × 1002001

7 × 143143

11 × 91091

13 × 77077

49 × 20449

77 × 13013

91 × 11011

121 × 8281

143 × 7007

169 × 5929

539 × 1859

637 × 1573

847 × 1183

1001 × 1001

First multiples

1,002,001 · 2,004,002 (double) · 3,006,003 · 4,008,004 · 5,010,005 · 6,012,006 · 7,014,007 · 8,016,008 · 9,018,009 · 10,020,010

Sums & aliquot sequence

As a sum of two squares: 0² + 1,001² = 385² + 924²

As consecutive integers: 501,000 + 501,001 143,140 + 143,141 + … + 143,146 91,086 + 91,087 + … + 91,096 77,071 + 77,072 + … + 77,083

Aliquot sequence: 1,002,001 → 385,322 → 314,518 → 157,262 → 119,218 → 75,902 → 37,954 → 27,134 → 13,570 → 12,350 → 13,690 → 11,636 → 8,734 → 5,594 → 2,800 → 4,888 → 5,192 — unresolved within range

Representations

In words: one million two thousand one
Ordinal: 1002001st
Binary: 11110100101000010001
Octal: 3645021
Hexadecimal: 0xF4A11
Base64: D0oR
One's complement: 4,293,965,294 (32-bit)
Scientific notation: 1.002001 × 10⁶
As a duration: 1,002,001 s = 11 days, 14 hours, 20 minutes, 1 second

In other bases

ternary (3) 1212220111011

quaternary (4) 3310220101

quinary (5) 224031001

senary (6) 33250521

septenary (7) 11342200

nonary (9) 1786434

undecimal (11) 624900

duodecimal (12) 403a41

tridecimal (13) 291100

tetradecimal (14) 1c1237

pentadecimal (15) 14bd51

As an angle

1,002,001° = 2,783 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓏺
Chinese: 一百萬二千零一
Chinese (financial): 壹佰萬貳仟零壹

In other modern scripts

Eastern Arabic ١٠٠٢٠٠١ Devanagari १००२००१ Bengali ১০০২০০১ Tamil ௧௦௦௨௦௦௧ Thai ๑๐๐๒๐๐๑ Tibetan ༡༠༠༢༠༠༡ Khmer ១០០២០០១ Lao ໑໐໐໒໐໐໑ Burmese ၁၀၀၂၀၀၁

Also seen as

Hex color

#0F4A11

RGB(15, 74, 17)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.17.

Address: 0.15.74.17
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.17

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 1,002,001 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 US1,002,001 on Google Patents ↗ Look up on USPTO ↗