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1,007,214

1,007,214 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.).

1,007,214 (one million seven thousand two hundred fourteen) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 37 × 349. Its proper divisors sum to 1,227,186, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E6E.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,127,001
Square (n²)
1,014,480,041,796
Cube (n³)
1,021,798,500,817,516,344
Divisor count
32
σ(n) — sum of divisors
2,234,400
φ(n) — Euler's totient
300,672
Sum of prime factors
404

Primality

Prime factorization: 2 × 3 × 13 × 37 × 349

Nearest primes: 1,007,203 (−11) · 1,007,231 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 13 · 26 · 37 · 39 · 74 · 78 · 111 · 222 · 349 · 481 · 698 · 962 · 1047 · 1443 · 2094 · 2886 · 4537 · 9074 · 12913 · 13611 · 25826 · 27222 · 38739 · 77478 · 167869 · 335738 · 503607 (half) · 1007214
Aliquot sum (sum of proper divisors): 1,227,186
Factor pairs (a × b = 1,007,214)
1 × 1007214
2 × 503607
3 × 335738
6 × 167869
13 × 77478
26 × 38739
37 × 27222
39 × 25826
74 × 13611
78 × 12913
111 × 9074
222 × 4537
349 × 2886
481 × 2094
698 × 1443
962 × 1047
First multiples
1,007,214 · 2,014,428 (double) · 3,021,642 · 4,028,856 · 5,036,070 · 6,043,284 · 7,050,498 · 8,057,712 · 9,064,926 · 10,072,140

Sums & aliquot sequence

As consecutive integers: 335,737 + 335,738 + 335,739 251,802 + 251,803 + 251,804 + 251,805 83,929 + 83,930 + … + 83,940 77,472 + 77,473 + … + 77,484
Aliquot sequence: 1,007,214 1,227,186 1,468,494 1,901,106 2,352,078 2,918,682 3,892,122 5,190,042 7,583,334 9,160,986 9,160,998 14,063,322 21,418,278 27,537,882 27,909,318 27,909,330 41,300,526 — unresolved within range

Continued fraction of √n

√1,007,214 = [1003; (1, 1, 1, 1, 76, 1, 1, 1, 1, 2006)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand two hundred fourteen
Ordinal
1007214th
Binary
11110101111001101110
Octal
3657156
Hexadecimal
0xF5E6E
Base64
D15u
One's complement
4,293,960,081 (32-bit)
Scientific notation
1.007214 × 10⁶
As a duration
1,007,214 s = 11 days, 15 hours, 46 minutes, 54 seconds
In other bases
ternary (3) 1220011122020
quaternary (4) 3311321232
quinary (5) 224212324
senary (6) 33331010
septenary (7) 11363325
nonary (9) 1804566
undecimal (11) 62880a
duodecimal (12) 406a66
tridecimal (13) 2935b0
tetradecimal (14) 1c30bc
pentadecimal (15) 14d679

As an angle

1,007,214° = 2,797 × 360° + 294°
294° ≈ 5.131 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬七千二百一十四
Chinese (financial)
壹佰萬柒仟貳佰壹拾肆
In other modern scripts
Eastern Arabic ١٠٠٧٢١٤ Devanagari १००७२१४ Bengali ১০০৭২১৪ Tamil ௧௦௦௭௨௧௪ Thai ๑๐๐๗๒๑๔ Tibetan ༡༠༠༧༢༡༤ Khmer ១០០៧២១៤ Lao ໑໐໐໗໒໑໔ Burmese ၁၀၀၇၂၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007214, here are decompositions:

  • 11 + 1007203 = 1007214
  • 41 + 1007173 = 1007214
  • 53 + 1007161 = 1007214
  • 97 + 1007117 = 1007214
  • 167 + 1007047 = 1007214
  • 191 + 1007023 = 1007214
  • 193 + 1007021 = 1007214
  • 223 + 1006991 = 1007214

Showing the first eight; more decompositions exist.

Hex color
#0F5E6E
RGB(15, 94, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.110.

Address
0.15.94.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.94.110

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 1,007,214 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°.