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1,001,070

1,001,070 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.).

1,001,070 (one million one thousand seventy) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2 × 3² × 5 × 7² × 227. Its proper divisors sum to 2,039,994, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF466E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
701,001
Square (n²)
1,002,141,144,900
Cube (n³)
1,003,213,435,925,043,000
Divisor count
72
σ(n) — sum of divisors
3,041,064
φ(n) — Euler's totient
227,808
Sum of prime factors
254

Primality

Prime factorization: 2 × 3 2 × 5 × 7 2 × 227

Nearest primes: 1,001,069 (−1) · 1,001,081 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 5 · 6 · 7 · 9 · 10 · 14 · 15 · 18 · 21 · 30 · 35 · 42 · 45 · 49 · 63 · 70 · 90 · 98 · 105 · 126 · 147 · 210 · 227 · 245 · 294 · 315 · 441 · 454 · 490 · 630 · 681 · 735 · 882 · 1135 · 1362 · 1470 · 1589 · 2043 · 2205 · 2270 · 3178 · 3405 · 4086 · 4410 · 4767 · 6810 · 7945 · 9534 · 10215 · 11123 · 14301 · 15890 · 20430 · 22246 · 23835 · 28602 · 33369 · 47670 · 55615 · 66738 · 71505 · 100107 · 111230 · 143010 · 166845 · 200214 · 333690 · 500535 (half) · 1001070
Aliquot sum (sum of proper divisors): 2,039,994
Factor pairs (a × b = 1,001,070)
1 × 1001070
2 × 500535
3 × 333690
5 × 200214
6 × 166845
7 × 143010
9 × 111230
10 × 100107
14 × 71505
15 × 66738
18 × 55615
21 × 47670
30 × 33369
35 × 28602
42 × 23835
45 × 22246
49 × 20430
63 × 15890
70 × 14301
90 × 11123
98 × 10215
105 × 9534
126 × 7945
147 × 6810
210 × 4767
227 × 4410
245 × 4086
294 × 3405
315 × 3178
441 × 2270
454 × 2205
490 × 2043
630 × 1589
681 × 1470
735 × 1362
882 × 1135
First multiples
1,001,070 · 2,002,140 (double) · 3,003,210 · 4,004,280 · 5,005,350 · 6,006,420 · 7,007,490 · 8,008,560 · 9,009,630 · 10,010,700

Sums & aliquot sequence

As consecutive integers: 333,689 + 333,690 + 333,691 250,266 + 250,267 + 250,268 + 250,269 200,212 + 200,213 + 200,214 + 200,215 + 200,216 143,007 + 143,008 + … + 143,013
Aliquot sequence: 1,001,070 2,039,994 2,782,278 3,246,030 5,193,882 6,477,414 6,477,426 8,225,262 9,596,178 13,443,822 21,300,498 25,008,570 40,340,142 47,063,538 58,963,662 71,510,994 83,429,532 — unresolved within range

Continued fraction of √n

√1,001,070 = [1000; (1, 1, 6, 1, 2, 19, 1, 6, 2, 1, 5, 5, 2, 1, 2, 1, 1, 1, 1, 1, 3, 40, 1, 1, …)]

Representations

In words
one million one thousand seventy
Ordinal
1001070th
Binary
11110100011001101110
Octal
3643156
Hexadecimal
0xF466E
Base64
D0Zu
One's complement
4,293,966,225 (32-bit)
Scientific notation
1.00107 × 10⁶
As a duration
1,001,070 s = 11 days, 14 hours, 4 minutes, 30 seconds
In other bases
ternary (3) 1212212012200
quaternary (4) 3310121232
quinary (5) 224013240
senary (6) 33242330
septenary (7) 11336400
nonary (9) 1785180
undecimal (11) 624134
duodecimal (12) 4033a6
tridecimal (13) 290865
tetradecimal (14) 1c0b70
pentadecimal (15) 14b930

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百萬一千零七十
Chinese (financial)
壹佰萬壹仟零柒拾
In other modern scripts
Eastern Arabic ١٠٠١٠٧٠ Devanagari १००१०७० Bengali ১০০১০৭০ Tamil ௧௦௦௧௦௭௦ Thai ๑๐๐๑๐๗๐ Tibetan ༡༠༠༡༠༧༠ Khmer ១០០១០៧០ Lao ໑໐໐໑໐໗໐ Burmese ၁၀၀၁၀၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001070, here are decompositions:

  • 29 + 1001041 = 1001070
  • 43 + 1001027 = 1001070
  • 47 + 1001023 = 1001070
  • 53 + 1001017 = 1001070
  • 67 + 1001003 = 1001070
  • 71 + 1000999 = 1001070
  • 89 + 1000981 = 1001070
  • 97 + 1000973 = 1001070

Showing the first eight; more decompositions exist.

Hex color
#0F466E
RGB(15, 70, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.110.

Address
0.15.70.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.110

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 1,001,070 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°.