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1,007,226

1,007,226 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.).

1,007,226 (one million seven thousand two hundred twenty-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 11 × 5,087. Its proper divisors sum to 1,373,958, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E7A.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven 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
6,227,001
Square (n²)
1,014,504,215,076
Cube (n³)
1,021,835,022,534,139,176
Divisor count
24
σ(n) — sum of divisors
2,381,184
φ(n) — Euler's totient
305,160
Sum of prime factors
5,106

Primality

Prime factorization: 2 × 3 2 × 11 × 5087

Nearest primes: 1,007,203 (−23) · 1,007,231 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 33 · 66 · 99 · 198 · 5087 · 10174 · 15261 · 30522 · 45783 · 55957 · 91566 · 111914 · 167871 · 335742 · 503613 (half) · 1007226
Aliquot sum (sum of proper divisors): 1,373,958
Factor pairs (a × b = 1,007,226)
1 × 1007226
2 × 503613
3 × 335742
6 × 167871
9 × 111914
11 × 91566
18 × 55957
22 × 45783
33 × 30522
66 × 15261
99 × 10174
198 × 5087
First multiples
1,007,226 · 2,014,452 (double) · 3,021,678 · 4,028,904 · 5,036,130 · 6,043,356 · 7,050,582 · 8,057,808 · 9,065,034 · 10,072,260

Sums & aliquot sequence

As consecutive integers: 335,741 + 335,742 + 335,743 251,805 + 251,806 + 251,807 + 251,808 111,910 + 111,911 + … + 111,918 91,561 + 91,562 + … + 91,571
Aliquot sequence: 1,007,226 1,373,958 1,684,890 2,763,918 3,290,130 5,358,510 8,573,850 16,407,810 26,252,730 53,161,722 62,022,048 115,589,568 190,241,672 166,850,068 197,187,116 199,400,404 220,531,136 — unresolved within range

Continued fraction of √n

√1,007,226 = [1003; (1, 1, 1, 1, 5, 1, 1, 3, 1, 7, 2, 1, 7, 1, 2, 1, 1, 4, 1, 8, 1, 1, 3, 1, …)]

Representations

In words
one million seven thousand two hundred twenty-six
Ordinal
1007226th
Binary
11110101111001111010
Octal
3657172
Hexadecimal
0xF5E7A
Base64
D156
One's complement
4,293,960,069 (32-bit)
Scientific notation
1.007226 × 10⁶
As a duration
1,007,226 s = 11 days, 15 hours, 47 minutes, 6 seconds
In other bases
ternary (3) 1220011122200
quaternary (4) 3311321322
quinary (5) 224212401
senary (6) 33331030
septenary (7) 11363343
nonary (9) 1804580
undecimal (11) 628820
duodecimal (12) 406a76
tridecimal (13) 2935bc
tetradecimal (14) 1c30ca
pentadecimal (15) 14d686

As an angle

1,007,226° = 2,797 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬七千二百二十六
Chinese (financial)
壹佰萬柒仟貳佰貳拾陸
In other modern scripts
Eastern Arabic ١٠٠٧٢٢٦ Devanagari १००७२२६ Bengali ১০০৭২২৬ Tamil ௧௦௦௭௨௨௬ Thai ๑๐๐๗๒๒๖ Tibetan ༡༠༠༧༢༢༦ Khmer ១០០៧២២៦ Lao ໑໐໐໗໒໒໖ Burmese ၁၀၀၇၂၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007226, here are decompositions:

  • 23 + 1007203 = 1007226
  • 47 + 1007179 = 1007226
  • 53 + 1007173 = 1007226
  • 89 + 1007137 = 1007226
  • 97 + 1007129 = 1007226
  • 107 + 1007119 = 1007226
  • 109 + 1007117 = 1007226
  • 127 + 1007099 = 1007226

Showing the first eight; more decompositions exist.

Hex color
#0F5E7A
RGB(15, 94, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.122.

Address
0.15.94.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.94.122

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 1,007,226 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°.