Live analysis

1,001,638

1,001,638 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.).

1,001,638 (one million one thousand six hundred thirty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 11² × 4,139. Written other ways, in hexadecimal, 0xF48A6.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,626 1,001,627 1,001,628 1,001,629 1,001,630 1,001,631 1,001,632 1,001,633 1,001,634 1,001,635 1,001,636 1,001,637 1,001,638 1,001,639 1,001,640 1,001,641 1,001,642 1,001,643 1,001,644 1,001,645 1,001,646 1,001,647 1,001,648 1,001,649 1,001,650

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Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,361,001
Square (n²): 1,003,278,683,044
Cube (n³): 1,004,922,053,526,826,072
Divisor count: 12
σ(n) — sum of divisors: 1,651,860
φ(n) — Euler's totient: 455,180
Sum of prime factors: 4,163

Primality

Prime factorization: 2 × 11 ² × 4139

Nearest primes: 1,001,629 (−9) · 1,001,639 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 11 · 22 · 121 · 242 · 4139 · 8278 · 45529 · 91058 · 500819 (half) · 1001638

Aliquot sum (sum of proper divisors): 650,222

Factor pairs (a × b = 1,001,638)

1 × 1001638

2 × 500819

11 × 91058

22 × 45529

121 × 8278

242 × 4139

First multiples

1,001,638 · 2,003,276 (double) · 3,004,914 · 4,006,552 · 5,008,190 · 6,009,828 · 7,011,466 · 8,013,104 · 9,014,742 · 10,016,380

Sums & aliquot sequence

As consecutive integers: 250,408 + 250,409 + 250,410 + 250,411 91,053 + 91,054 + … + 91,063 22,743 + 22,744 + … + 22,786 8,218 + 8,219 + … + 8,338

Aliquot sequence: 1,001,638 → 650,222 → 337,114 → 175,706 → 87,856 → 102,484 → 76,870 → 61,514 → 30,760 → 38,540 → 46,132 → 38,988 → 67,692 → 90,284 → 67,720 → 84,740 → 103,420 — unresolved within range

Continued fraction of √n

√1,001,638 = [1000; (1, 4, 1, 1, 16, 1, 1, 3, 2, 73, 1, 2, 3, 3, 51, 47, 1, 1, 1, 3, 3, 1, 1, 9, …)]

Representations

In words: one million one thousand six hundred thirty-eight
Ordinal: 1001638th
Binary: 11110100100010100110
Octal: 3644246
Hexadecimal: 0xF48A6
Base64: D0im
One's complement: 4,293,965,657 (32-bit)
Scientific notation: 1.001638 × 10⁶
As a duration: 1,001,638 s = 11 days, 14 hours, 13 minutes, 58 seconds

In other bases

ternary (3) 1212212222201

quaternary (4) 3310202212

quinary (5) 224023023

senary (6) 33245114

septenary (7) 11341141

nonary (9) 1785881

undecimal (11) 624600

duodecimal (12) 40379a

tridecimal (13) 290bb1

tetradecimal (14) 1c1058

pentadecimal (15) 14bbad

As an angle

1,001,638° = 2,782 × 360° + 118°

118° ≈ 2.059 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千六百三十八
Chinese (financial): 壹佰萬壹仟陸佰參拾捌

In other modern scripts

Eastern Arabic ١٠٠١٦٣٨ Devanagari १००१६३८ Bengali ১০০১৬৩৮ Tamil ௧௦௦௧௬௩௮ Thai ๑๐๐๑๖๓๘ Tibetan ༡༠༠༡༦༣༨ Khmer ១០០១៦៣៨ Lao ໑໐໐໑໖໓໘ Burmese ၁၀၀၁၆၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001638, here are decompositions:

17 + 1001621 = 1001638
89 + 1001549 = 1001638
107 + 1001531 = 1001638
137 + 1001501 = 1001638
179 + 1001459 = 1001638
191 + 1001447 = 1001638
227 + 1001411 = 1001638
251 + 1001387 = 1001638

Showing the first eight; more decompositions exist.

Hex color

#0F48A6

RGB(15, 72, 166)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.166.

Address: 0.15.72.166
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.166

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 1,001,638 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 US1,001,638 on Google Patents ↗ Look up on USPTO ↗