Live analysis

1,001,138

1,001,138 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.).

1,001,138 (one million one thousand one hundred thirty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 29 × 41 × 421. Written other ways, in hexadecimal, 0xF46B2.

Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,126 1,001,127 1,001,128 1,001,129 1,001,130 1,001,131 1,001,132 1,001,133 1,001,134 1,001,135 1,001,136 1,001,137 1,001,138 1,001,139 1,001,140 1,001,141 1,001,142 1,001,143 1,001,144 1,001,145 1,001,146 1,001,147 1,001,148 1,001,149 1,001,150

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 8,311,001
Square (n²): 1,002,277,295,044
Cube (n³): 1,003,417,886,605,760,072
Divisor count: 16
σ(n) — sum of divisors: 1,595,160
φ(n) — Euler's totient: 470,400
Sum of prime factors: 493

Primality

Prime factorization: 2 × 29 × 41 × 421

Nearest primes: 1,001,123 (−15) · 1,001,153 (+15)

Divisors & multiples

All divisors (16)

1 · 2 · 29 · 41 · 58 · 82 · 421 · 842 · 1189 · 2378 · 12209 · 17261 · 24418 · 34522 · 500569 (half) · 1001138

Aliquot sum (sum of proper divisors): 594,022

Factor pairs (a × b = 1,001,138)

1 × 1001138

2 × 500569

29 × 34522

41 × 24418

58 × 17261

82 × 12209

421 × 2378

842 × 1189

First multiples

1,001,138 · 2,002,276 (double) · 3,003,414 · 4,004,552 · 5,005,690 · 6,006,828 · 7,007,966 · 8,009,104 · 9,010,242 · 10,011,380

Sums & aliquot sequence

As a sum of two squares: 257² + 967² = 323² + 947² = 463² + 887² = 523² + 853²

As consecutive integers: 250,283 + 250,284 + 250,285 + 250,286 34,508 + 34,509 + … + 34,536 24,398 + 24,399 + … + 24,438 8,573 + 8,574 + … + 8,688

Aliquot sequence: 1,001,138 → 594,022 → 502,682 → 271,834 → 138,566 → 72,154 → 38,726 → 23,902 → 17,138 → 13,102 → 6,554 → 3,706 → 2,234 → 1,120 → 1,904 → 2,560 → 3,578 — unresolved within range

Continued fraction of √n

√1,001,138 = [1000; (1, 1, 3, 7, 1, 1, 2, 5, 6, 1, 2, 1, 4, 1, 12, 1, 7, 2, 1, 1, 1, 18, 1, 4, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million one thousand one hundred thirty-eight
Ordinal: 1001138th
Binary: 11110100011010110010
Octal: 3643262
Hexadecimal: 0xF46B2
Base64: D0ay
One's complement: 4,293,966,157 (32-bit)
Scientific notation: 1.001138 × 10⁶
As a duration: 1,001,138 s = 11 days, 14 hours, 5 minutes, 38 seconds

In other bases

ternary (3) 1212212022012

quaternary (4) 3310122302

quinary (5) 224014023

senary (6) 33242522

septenary (7) 11336525

nonary (9) 1785265

undecimal (11) 624196

duodecimal (12) 403442

tridecimal (13) 2908b8

tetradecimal (14) 1c0bbc

pentadecimal (15) 14b978

As an angle

1,001,138° = 2,780 × 360° + 338°

338° ≈ 5.899 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百三十八
Chinese (financial): 壹佰萬壹仟壹佰參拾捌

In other modern scripts

Eastern Arabic ١٠٠١١٣٨ Devanagari १००११३८ Bengali ১০০১১৩৮ Tamil ௧௦௦௧௧௩௮ Thai ๑๐๐๑๑๓๘ Tibetan ༡༠༠༡༡༣༨ Khmer ១០០១១៣៨ Lao ໑໐໐໑໑໓໘ Burmese ၁၀၀၁၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001138, here are decompositions:

31 + 1001107 = 1001138
97 + 1001041 = 1001138
139 + 1000999 = 1001138
157 + 1000981 = 1001138
277 + 1000861 = 1001138
487 + 1000651 = 1001138
499 + 1000639 = 1001138
601 + 1000537 = 1001138

Showing the first eight; more decompositions exist.

Hex color

#0F46B2

RGB(15, 70, 178)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.178.

Address: 0.15.70.178
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.178

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 1,001,138 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 US1,001,138 on Google Patents ↗ Look up on USPTO ↗