Live analysis

1,013,138

1,013,138 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.).

1,013,138 (one million thirteen thousand one hundred thirty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 72,367. Written other ways, in hexadecimal, 0xF7592.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,126 1,013,127 1,013,128 1,013,129 1,013,130 1,013,131 1,013,132 1,013,133 1,013,134 1,013,135 1,013,136 1,013,137 1,013,138 1,013,139 1,013,140 1,013,141 1,013,142 1,013,143 1,013,144 1,013,145 1,013,146 1,013,147 1,013,148 1,013,149 1,013,150

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 8,313,101
Square (n²): 1,026,448,607,044
Cube (n³): 1,039,934,088,843,344,072
Divisor count: 8
σ(n) — sum of divisors: 1,736,832
φ(n) — Euler's totient: 434,196
Sum of prime factors: 72,376

Primality

Prime factorization: 2 × 7 × 72367

Nearest primes: 1,013,063 (−75) · 1,013,143 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 7 · 14 · 72367 · 144734 · 506569 (half) · 1013138

Aliquot sum (sum of proper divisors): 723,694

Factor pairs (a × b = 1,013,138)

1 × 1013138

2 × 506569

7 × 144734

14 × 72367

First multiples

1,013,138 · 2,026,276 (double) · 3,039,414 · 4,052,552 · 5,065,690 · 6,078,828 · 7,091,966 · 8,105,104 · 9,118,242 · 10,131,380

Sums & aliquot sequence

As consecutive integers: 253,283 + 253,284 + 253,285 + 253,286 144,731 + 144,732 + … + 144,737 36,170 + 36,171 + … + 36,197

Aliquot sequence: 1,013,138 → 723,694 → 380,426 → 236,470 → 253,418 → 161,302 → 80,654 → 60,250 → 53,006 → 31,234 → 25,214 → 18,034 → 9,614 → 7,666 → 3,836 → 3,892 → 3,948 — unresolved within range

Continued fraction of √n

√1,013,138 = [1006; (1, 1, 4, 1, 3, 10, 5, 1, 13, 4, 7, 5, 2, 7, 1, 2, 3, 1, 1, 1, 8, 1, 142, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand one hundred thirty-eight
Ordinal: 1013138th
Binary: 11110111010110010010
Octal: 3672622
Hexadecimal: 0xF7592
Base64: D3WS
One's complement: 4,293,954,157 (32-bit)
Scientific notation: 1.013138 × 10⁶
As a duration: 1,013,138 s = 11 days, 17 hours, 25 minutes, 38 seconds

In other bases

ternary (3) 1220110202122

quaternary (4) 3313112102

quinary (5) 224410023

senary (6) 33414242

septenary (7) 11416520

nonary (9) 1813678

undecimal (11) 632205

duodecimal (12) 40a382

tridecimal (13) 2961b9

tetradecimal (14) 1c5310

pentadecimal (15) 1502c8

As an angle

1,013,138° = 2,814 × 360° + 98°

98° ≈ 1.71 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百三十八
Chinese (financial): 壹佰零壹萬參仟壹佰參拾捌

In other modern scripts

Eastern Arabic ١٠١٣١٣٨ Devanagari १०१३१३८ Bengali ১০১৩১৩৮ Tamil ௧௦௧௩௧௩௮ Thai ๑๐๑๓๑๓๘ Tibetan ༡༠༡༣༡༣༨ Khmer ១០១៣១៣៨ Lao ໑໐໑໓໑໓໘ Burmese ၁၀၁၃၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013138, here are decompositions:

97 + 1013041 = 1013138
109 + 1013029 = 1013138
157 + 1012981 = 1013138
277 + 1012861 = 1013138
307 + 1012831 = 1013138
349 + 1012789 = 1013138
367 + 1012771 = 1013138
421 + 1012717 = 1013138

Showing the first eight; more decompositions exist.

Hex color

#0F7592

RGB(15, 117, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.146.

Address: 0.15.117.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.146

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3138 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3138-10-01 (MMDYYYY (US, single-digit day))
3138-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,138 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 US1,013,138 on Google Patents ↗ Look up on USPTO ↗