Live analysis

1,013,442

1,013,442 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.).

1,013,442 (one million thirteen thousand four hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 67 × 2,521. Its proper divisors sum to 1,044,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76C2.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,430 1,013,431 1,013,432 1,013,433 1,013,434 1,013,435 1,013,436 1,013,437 1,013,438 1,013,439 1,013,440 1,013,441 1,013,442 1,013,443 1,013,444 1,013,445 1,013,446 1,013,447 1,013,448 1,013,449 1,013,450 1,013,451 1,013,452 1,013,453 1,013,454

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,443,101
Square (n²): 1,027,064,687,364
Cube (n³): 1,040,870,490,891,546,888
Divisor count: 16
σ(n) — sum of divisors: 2,057,952
φ(n) — Euler's totient: 332,640
Sum of prime factors: 2,593

Primality

Prime factorization: 2 × 3 × 67 × 2521

Nearest primes: 1,013,431 (−11) · 1,013,471 (+29)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 67 · 134 · 201 · 402 · 2521 · 5042 · 7563 · 15126 · 168907 · 337814 · 506721 (half) · 1013442

Aliquot sum (sum of proper divisors): 1,044,510

Factor pairs (a × b = 1,013,442)

1 × 1013442

2 × 506721

3 × 337814

6 × 168907

67 × 15126

134 × 7563

201 × 5042

402 × 2521

First multiples

1,013,442 · 2,026,884 (double) · 3,040,326 · 4,053,768 · 5,067,210 · 6,080,652 · 7,094,094 · 8,107,536 · 9,120,978 · 10,134,420

Sums & aliquot sequence

As consecutive integers: 337,813 + 337,814 + 337,815 253,359 + 253,360 + 253,361 + 253,362 84,448 + 84,449 + … + 84,459 15,093 + 15,094 + … + 15,159

Aliquot sequence: 1,013,442 → 1,044,510 → 1,532,802 → 1,532,814 → 1,532,826 → 2,031,462 → 2,370,078 → 2,765,130 → 3,984,438 → 4,005,258 → 4,084,278 → 5,298,762 → 7,259,478 → 7,506,282 → 10,661,910 → 19,108,506 → 20,426,694 — unresolved within range

Continued fraction of √n

√1,013,442 = [1006; (1, 2, 3, 6, 1, 2, 1006, 2, 1, 6, 3, 2, 1, 2012)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand four hundred forty-two
Ordinal: 1013442nd
Binary: 11110111011011000010
Octal: 3673302
Hexadecimal: 0xF76C2
Base64: D3bC
One's complement: 4,293,953,853 (32-bit)
Scientific notation: 1.013442 × 10⁶
As a duration: 1,013,442 s = 11 days, 17 hours, 30 minutes, 42 seconds

In other bases

ternary (3) 1220111011220

quaternary (4) 3313123002

quinary (5) 224412232

senary (6) 33415510

septenary (7) 11420433

nonary (9) 1814156

undecimal (11) 632461

duodecimal (12) 40a596

tridecimal (13) 296391

tetradecimal (14) 1c548a

pentadecimal (15) 15042c

As an angle

1,013,442° = 2,815 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千四百四十二
Chinese (financial): 壹佰零壹萬參仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٠١٣٤٤٢ Devanagari १०१३४४२ Bengali ১০১৩৪৪২ Tamil ௧௦௧௩௪௪௨ Thai ๑๐๑๓๔๔๒ Tibetan ༡༠༡༣༤༤༢ Khmer ១០១៣៤៤២ Lao ໑໐໑໓໔໔໒ Burmese ၁၀၁၃၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013442, here are decompositions:

11 + 1013431 = 1013442
13 + 1013429 = 1013442
41 + 1013401 = 1013442
43 + 1013399 = 1013442
113 + 1013329 = 1013442
151 + 1013291 = 1013442
163 + 1013279 = 1013442
179 + 1013263 = 1013442

Showing the first eight; more decompositions exist.

Hex color

#0F76C2

RGB(15, 118, 194)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.194.

Address: 0.15.118.194
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.194

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3442 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3442-10-01 (MMDYYYY (US, single-digit day))
3442-01-10 (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 1,013,442 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 US1,013,442 on Google Patents ↗ Look up on USPTO ↗