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1,001,700

1,001,700 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.).

1,001,700 (one million one thousand seven hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2² × 3³ × 5² × 7 × 53. Its proper divisors sum to 2,748,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48E4.

Abundant Number Arithmetic Number 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
71,001
Square (n²)
1,003,402,890,000
Cube (n³)
1,005,108,674,913,000,000
Divisor count
144
σ(n) — sum of divisors
3,749,760
φ(n) — Euler's totient
224,640
Sum of prime factors
83

Primality

Prime factorization: 2 2 × 3 3 × 5 2 × 7 × 53

Nearest primes: 1,001,687 (−13) · 1,001,713 (+13)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 25 · 27 · 28 · 30 · 35 · 36 · 42 · 45 · 50 · 53 · 54 · 60 · 63 · 70 · 75 · 84 · 90 · 100 · 105 · 106 · 108 · 126 · 135 · 140 · 150 · 159 · 175 · 180 · 189 · 210 · 212 · 225 · 252 · 265 · 270 · 300 · 315 · 318 · 350 · 371 · 378 · 420 · 450 · 477 · 525 · 530 · 540 · 630 · 636 · 675 · 700 · 742 · 756 · 795 · 900 · 945 · 954 · 1050 · 1060 · 1113 · 1260 · 1325 · 1350 · 1431 · 1484 · 1575 · 1590 · 1855 · 1890 · 1908 · 2100 · 2226 · 2385 · 2650 · 2700 · 2862 · 3150 · 3180 · 3339 · 3710 · 3780 · 3975 · 4452 · 4725 · 4770 · 5300 · 5565 · 5724 · 6300 · 6678 · 7155 · 7420 · 7950 · 9275 · 9450 · 9540 · 10017 · 11130 · 11925 · 13356 · 14310 · 15900 · 16695 · 18550 · 18900 · 20034 · 22260 · 23850 · 27825 · 28620 · 33390 · 35775 · 37100 · 40068 · 47700 · 50085 · 55650 · 66780 · 71550 · 83475 · 100170 · 111300 · 143100 · 166950 · 200340 · 250425 · 333900 · 500850 (half) · 1001700
Aliquot sum (sum of proper divisors): 2,748,060
Factor pairs (a × b = 1,001,700)
1 × 1001700
2 × 500850
3 × 333900
4 × 250425
5 × 200340
6 × 166950
7 × 143100
9 × 111300
10 × 100170
12 × 83475
14 × 71550
15 × 66780
18 × 55650
20 × 50085
21 × 47700
25 × 40068
27 × 37100
28 × 35775
30 × 33390
35 × 28620
36 × 27825
42 × 23850
45 × 22260
50 × 20034
53 × 18900
54 × 18550
60 × 16695
63 × 15900
70 × 14310
75 × 13356
84 × 11925
90 × 11130
100 × 10017
105 × 9540
106 × 9450
108 × 9275
126 × 7950
135 × 7420
140 × 7155
150 × 6678
159 × 6300
175 × 5724
180 × 5565
189 × 5300
210 × 4770
212 × 4725
225 × 4452
252 × 3975
265 × 3780
270 × 3710
300 × 3339
315 × 3180
318 × 3150
350 × 2862
371 × 2700
378 × 2650
420 × 2385
450 × 2226
477 × 2100
525 × 1908
530 × 1890
540 × 1855
630 × 1590
636 × 1575
675 × 1484
700 × 1431
742 × 1350
756 × 1325
795 × 1260
900 × 1113
945 × 1060
954 × 1050
First multiples
1,001,700 · 2,003,400 (double) · 3,005,100 · 4,006,800 · 5,008,500 · 6,010,200 · 7,011,900 · 8,013,600 · 9,015,300 · 10,017,000

Sums & aliquot sequence

As consecutive integers: 333,899 + 333,900 + 333,901 200,338 + 200,339 + 200,340 + 200,341 + 200,342 143,097 + 143,098 + … + 143,103 125,209 + 125,210 + … + 125,216
Aliquot sequence: 1,001,700 2,748,060 7,036,260 17,542,812 29,238,244 32,628,764 32,769,604 38,480,316 70,174,020 154,384,188 285,910,212 499,845,948 833,076,804 1,416,599,996 1,467,193,252 1,467,193,308 2,447,260,452 — unresolved within range

Continued fraction of √n

√1,001,700 = [1000; (1, 5, 1, 1, 1, 6, 3, 1, 1, 1, 1, 1, 2, 8, 1, 1, 16, 3, 2, 2, 2, 3, 16, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one million one thousand seven hundred
Ordinal
1001700th
Binary
11110100100011100100
Octal
3644344
Hexadecimal
0xF48E4
Base64
D0jk
One's complement
4,293,965,595 (32-bit)
Scientific notation
1.0017 × 10⁶
As a duration
1,001,700 s = 11 days, 14 hours, 15 minutes
In other bases
ternary (3) 1212220002000
quaternary (4) 3310203210
quinary (5) 224023300
senary (6) 33245300
septenary (7) 11341260
nonary (9) 1786060
undecimal (11) 624657
duodecimal (12) 403830
tridecimal (13) 290c2b
tetradecimal (14) 1c10a0
pentadecimal (15) 14bc00

As an angle

1,001,700° = 2,782 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百萬一千七百
Chinese (financial)
壹佰萬壹仟柒佰
In other modern scripts
Eastern Arabic ١٠٠١٧٠٠ Devanagari १००१७०० Bengali ১০০১৭০০ Tamil ௧௦௦௧௭௦௦ Thai ๑๐๐๑๗๐๐ Tibetan ༡༠༠༡༧༠༠ Khmer ១០០១៧០០ Lao ໑໐໐໑໗໐໐ Burmese ၁၀၀၁၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001700, here are decompositions:

  • 13 + 1001687 = 1001700
  • 17 + 1001683 = 1001700
  • 31 + 1001669 = 1001700
  • 41 + 1001659 = 1001700
  • 61 + 1001639 = 1001700
  • 71 + 1001629 = 1001700
  • 79 + 1001621 = 1001700
  • 107 + 1001593 = 1001700

Showing the first eight; more decompositions exist.

Hex color
#0F48E4
RGB(15, 72, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.228.

Address
0.15.72.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.72.228

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 1,001,700 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°.