Live analysis

1,001,442

1,001,442 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.).

1,001,442 (one million one thousand four hundred forty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 37 × 347. Its proper divisors sum to 1,220,190, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47E2.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,430 1,001,431 1,001,432 1,001,433 1,001,434 1,001,435 1,001,436 1,001,437 1,001,438 1,001,439 1,001,440 1,001,441 1,001,442 1,001,443 1,001,444 1,001,445 1,001,446 1,001,447 1,001,448 1,001,449 1,001,450 1,001,451 1,001,452 1,001,453 1,001,454

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,441,001
Square (n²): 1,002,886,079,364
Cube (n³): 1,004,332,241,090,442,888
Divisor count: 32
σ(n) — sum of divisors: 2,221,632
φ(n) — Euler's totient: 298,944
Sum of prime factors: 402

Primality

Prime factorization: 2 × 3 × 13 × 37 × 347

Nearest primes: 1,001,431 (−11) · 1,001,447 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 37 · 39 · 74 · 78 · 111 · 222 · 347 · 481 · 694 · 962 · 1041 · 1443 · 2082 · 2886 · 4511 · 9022 · 12839 · 13533 · 25678 · 27066 · 38517 · 77034 · 166907 · 333814 · 500721 (half) · 1001442

Aliquot sum (sum of proper divisors): 1,220,190

Factor pairs (a × b = 1,001,442)

1 × 1001442

2 × 500721

3 × 333814

6 × 166907

13 × 77034

26 × 38517

37 × 27066

39 × 25678

74 × 13533

78 × 12839

111 × 9022

222 × 4511

347 × 2886

481 × 2082

694 × 1443

962 × 1041

First multiples

1,001,442 · 2,002,884 (double) · 3,004,326 · 4,005,768 · 5,007,210 · 6,008,652 · 7,010,094 · 8,011,536 · 9,012,978 · 10,014,420

Sums & aliquot sequence

As consecutive integers: 333,813 + 333,814 + 333,815 250,359 + 250,360 + 250,361 + 250,362 83,448 + 83,449 + … + 83,459 77,028 + 77,029 + … + 77,040

Aliquot sequence: 1,001,442 → 1,220,190 → 1,747,650 → 2,680,638 → 2,680,650 → 6,140,214 → 7,163,622 → 8,467,578 → 14,595,462 → 21,545,994 → 22,189,974 → 22,489,626 → 22,685,478 → 22,738,458 → 22,738,470 → 32,084,922 → 32,084,934 — unresolved within range

Continued fraction of √n

√1,001,442 = [1000; (1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 3, 3, 1, 11, 1, 4, 1, 1, 1, 1, 1, 5, 1, 1, …)]

Representations

In words: one million one thousand four hundred forty-two
Ordinal: 1001442nd
Binary: 11110100011111100010
Octal: 3643742
Hexadecimal: 0xF47E2
Base64: D0fi
One's complement: 4,293,965,853 (32-bit)
Scientific notation: 1.001442 × 10⁶
As a duration: 1,001,442 s = 11 days, 14 hours, 10 minutes, 42 seconds

In other bases

ternary (3) 1212212201110

quaternary (4) 3310133202

quinary (5) 224021232

senary (6) 33244150

septenary (7) 11340441

nonary (9) 1785643

undecimal (11) 624442

duodecimal (12) 403656

tridecimal (13) 290a90

tetradecimal (14) 1c0d58

pentadecimal (15) 14bacc

As an angle

1,001,442° = 2,781 × 360° + 282°

282° ≈ 4.922 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千四百四十二
Chinese (financial): 壹佰萬壹仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٠١٤٤٢ Devanagari १००१४४२ Bengali ১০০১৪৪২ Tamil ௧௦௦௧௪௪௨ Thai ๑๐๐๑๔๔๒ Tibetan ༡༠༠༡༤༤༢ Khmer ១០០១៤៤២ Lao ໑໐໐໑໔໔໒ Burmese ၁၀၀၁၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001442, here are decompositions:

11 + 1001431 = 1001442
31 + 1001411 = 1001442
41 + 1001401 = 1001442
53 + 1001389 = 1001442
61 + 1001381 = 1001442
73 + 1001369 = 1001442
89 + 1001353 = 1001442
131 + 1001311 = 1001442

Showing the first eight; more decompositions exist.

Hex color

#0F47E2

RGB(15, 71, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.226.

Address: 0.15.71.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.226

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 1,001,442 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 US1,001,442 on Google Patents ↗ Look up on USPTO ↗