Live analysis

1,001,014

1,001,014 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.).

1,001,014 (one million one thousand fourteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 127 × 563. Written other ways, in hexadecimal, 0xF4636.

Arithmetic Number Cube-Free Deficient Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,002 1,001,003 1,001,004 1,001,005 1,001,006 1,001,007 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,101,001
Square (n²): 1,002,029,028,196
Cube (n³): 1,003,045,085,630,590,744
Divisor count: 16
σ(n) — sum of divisors: 1,732,608
φ(n) — Euler's totient: 424,872
Sum of prime factors: 699

Primality

Prime factorization: 2 × 7 × 127 × 563

Nearest primes: 1,001,003 (−11) · 1,001,017 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 7 · 14 · 127 · 254 · 563 · 889 · 1126 · 1778 · 3941 · 7882 · 71501 · 143002 · 500507 (half) · 1001014

Aliquot sum (sum of proper divisors): 731,594

Factor pairs (a × b = 1,001,014)

1 × 1001014

2 × 500507

7 × 143002

14 × 71501

127 × 7882

254 × 3941

563 × 1778

889 × 1126

First multiples

1,001,014 · 2,002,028 (double) · 3,003,042 · 4,004,056 · 5,005,070 · 6,006,084 · 7,007,098 · 8,008,112 · 9,009,126 · 10,010,140

Sums & aliquot sequence

As consecutive integers: 250,252 + 250,253 + 250,254 + 250,255 142,999 + 143,000 + … + 143,005 35,737 + 35,738 + … + 35,764 7,819 + 7,820 + … + 7,945

Aliquot sequence: 1,001,014 → 731,594 → 365,800 → 527,000 → 820,840 → 1,026,140 → 1,128,796 → 977,924 → 733,450 → 630,860 → 693,988 → 520,498 → 347,822 → 182,650 → 184,514 → 117,454 → 58,730 — unresolved within range

Continued fraction of √n

√1,001,014 = [1000; (1, 1, 35, 1, 7, 2, 7, 1, 35, 1, 1, 2000)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million one thousand fourteen
Ordinal: 1001014th
Binary: 11110100011000110110
Octal: 3643066
Hexadecimal: 0xF4636
Base64: D0Y2
One's complement: 4,293,966,281 (32-bit)
Scientific notation: 1.001014 × 10⁶
As a duration: 1,001,014 s = 11 days, 14 hours, 3 minutes, 34 seconds

In other bases

ternary (3) 1212212010121

quaternary (4) 3310120312

quinary (5) 224013024

senary (6) 33242154

septenary (7) 11336260

nonary (9) 1785117

undecimal (11) 624093

duodecimal (12) 40335a

tridecimal (13) 290821

tetradecimal (14) 1c0b30

pentadecimal (15) 14b8e4

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零一十四
Chinese (financial): 壹佰萬壹仟零壹拾肆

In other modern scripts

Eastern Arabic ١٠٠١٠١٤ Devanagari १००१०१४ Bengali ১০০১০১৪ Tamil ௧௦௦௧௦௧௪ Thai ๑๐๐๑๐๑๔ Tibetan ༡༠༠༡༠༡༤ Khmer ១០០១០១៤ Lao ໑໐໐໑໐໑໔ Burmese ၁၀၀၁၀၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001014, here are decompositions:

11 + 1001003 = 1001014
41 + 1000973 = 1001014
83 + 1000931 = 1001014
107 + 1000907 = 1001014
167 + 1000847 = 1001014
251 + 1000763 = 1001014
293 + 1000721 = 1001014
317 + 1000697 = 1001014

Showing the first eight; more decompositions exist.

Hex color

#0F4636

RGB(15, 70, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.54.

Address: 0.15.70.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.54

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 1,001,014 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 US1,001,014 on Google Patents ↗ Look up on USPTO ↗