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1,007,442

1,007,442 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.).

1,007,442 (one million seven thousand four hundred forty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 97 × 577. Its proper divisors sum to 1,201,674, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5F52.

Abundant Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,447,001
Recamán's sequence
a(350,567) = 1,007,442
Square (n²)
1,014,939,383,364
Cube (n³)
1,022,492,562,254,994,888
Divisor count
24
σ(n) — sum of divisors
2,209,116
φ(n) — Euler's totient
331,776
Sum of prime factors
682

Primality

Prime factorization: 2 × 3 2 × 97 × 577

Nearest primes: 1,007,441 (−1) · 1,007,459 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 97 · 194 · 291 · 577 · 582 · 873 · 1154 · 1731 · 1746 · 3462 · 5193 · 10386 · 55969 · 111938 · 167907 · 335814 · 503721 (half) · 1007442
Aliquot sum (sum of proper divisors): 1,201,674
Factor pairs (a × b = 1,007,442)
1 × 1007442
2 × 503721
3 × 335814
6 × 167907
9 × 111938
18 × 55969
97 × 10386
194 × 5193
291 × 3462
577 × 1746
582 × 1731
873 × 1154
First multiples
1,007,442 · 2,014,884 (double) · 3,022,326 · 4,029,768 · 5,037,210 · 6,044,652 · 7,052,094 · 8,059,536 · 9,066,978 · 10,074,420

Sums & aliquot sequence

As a sum of two squares: 321² + 951² = 399² + 921²
As consecutive integers: 335,813 + 335,814 + 335,815 251,859 + 251,860 + 251,861 + 251,862 111,934 + 111,935 + … + 111,942 83,948 + 83,949 + … + 83,959
Aliquot sequence: 1,007,442 1,201,674 1,378,806 1,862,922 1,880,790 2,701,866 2,701,878 3,019,962 3,569,190 4,996,938 5,071,542 7,204,170 10,085,910 14,957,130 23,300,790 32,621,178 32,621,190 — unresolved within range

Continued fraction of √n

√1,007,442 = [1003; (1, 2, 2, 111, 10, 1, 1, 222, 1, 1, 10, 111, 2, 2, 1, 2006)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand four hundred forty-two
Ordinal
1007442nd
Binary
11110101111101010010
Octal
3657522
Hexadecimal
0xF5F52
Base64
D19S
One's complement
4,293,959,853 (32-bit)
Scientific notation
1.007442 × 10⁶
As a duration
1,007,442 s = 11 days, 15 hours, 50 minutes, 42 seconds
In other bases
ternary (3) 1220011221200
quaternary (4) 3311331102
quinary (5) 224214232
senary (6) 33332030
septenary (7) 11364102
nonary (9) 1804850
undecimal (11) 6289a7
duodecimal (12) 407016
tridecimal (13) 293727
tetradecimal (14) 1c3202
pentadecimal (15) 14d77c

As an angle

1,007,442° = 2,798 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬七千四百四十二
Chinese (financial)
壹佰萬柒仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٠٧٤٤٢ Devanagari १००७४४२ Bengali ১০০৭৪৪২ Tamil ௧௦௦௭௪௪௨ Thai ๑๐๐๗๔๔๒ Tibetan ༡༠༠༧༤༤༢ Khmer ១០០៧៤៤២ Lao ໑໐໐໗໔໔໒ Burmese ၁၀၀၇၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007442, here are decompositions:

  • 13 + 1007429 = 1007442
  • 41 + 1007401 = 1007442
  • 61 + 1007381 = 1007442
  • 83 + 1007359 = 1007442
  • 89 + 1007353 = 1007442
  • 103 + 1007339 = 1007442
  • 193 + 1007249 = 1007442
  • 199 + 1007243 = 1007442

Showing the first eight; more decompositions exist.

Hex color
#0F5F52
RGB(15, 95, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.82.

Address
0.15.95.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.95.82

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 1,007,442 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.