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1,001,052

1,001,052 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.).

1,001,052 (one million one thousand fifty-two) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 13 × 23 × 31. Its proper divisors sum to 2,009,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF465C.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number 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
2,501,001
Square (n²)
1,002,105,106,704
Cube (n³)
1,003,159,321,276,252,608
Divisor count
96
σ(n) — sum of divisors
3,010,560
φ(n) — Euler's totient
285,120
Sum of prime factors
80

Primality

Prime factorization: 2 2 × 3 3 × 13 × 23 × 31

Nearest primes: 1,001,041 (−11) · 1,001,069 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 23 · 26 · 27 · 31 · 36 · 39 · 46 · 52 · 54 · 62 · 69 · 78 · 92 · 93 · 108 · 117 · 124 · 138 · 156 · 186 · 207 · 234 · 276 · 279 · 299 · 351 · 372 · 403 · 414 · 468 · 558 · 598 · 621 · 702 · 713 · 806 · 828 · 837 · 897 · 1116 · 1196 · 1209 · 1242 · 1404 · 1426 · 1612 · 1674 · 1794 · 2139 · 2418 · 2484 · 2691 · 2852 · 3348 · 3588 · 3627 · 4278 · 4836 · 5382 · 6417 · 7254 · 8073 · 8556 · 9269 · 10764 · 10881 · 12834 · 14508 · 16146 · 18538 · 19251 · 21762 · 25668 · 27807 · 32292 · 37076 · 38502 · 43524 · 55614 · 77004 · 83421 · 111228 · 166842 · 250263 · 333684 · 500526 (half) · 1001052
Aliquot sum (sum of proper divisors): 2,009,508
Factor pairs (a × b = 1,001,052)
1 × 1001052
2 × 500526
3 × 333684
4 × 250263
6 × 166842
9 × 111228
12 × 83421
13 × 77004
18 × 55614
23 × 43524
26 × 38502
27 × 37076
31 × 32292
36 × 27807
39 × 25668
46 × 21762
52 × 19251
54 × 18538
62 × 16146
69 × 14508
78 × 12834
92 × 10881
93 × 10764
108 × 9269
117 × 8556
124 × 8073
138 × 7254
156 × 6417
186 × 5382
207 × 4836
234 × 4278
276 × 3627
279 × 3588
299 × 3348
351 × 2852
372 × 2691
403 × 2484
414 × 2418
468 × 2139
558 × 1794
598 × 1674
621 × 1612
702 × 1426
713 × 1404
806 × 1242
828 × 1209
837 × 1196
897 × 1116
First multiples
1,001,052 · 2,002,104 (double) · 3,003,156 · 4,004,208 · 5,005,260 · 6,006,312 · 7,007,364 · 8,008,416 · 9,009,468 · 10,010,520

Sums & aliquot sequence

As consecutive integers: 333,683 + 333,684 + 333,685 125,128 + 125,129 + … + 125,135 111,224 + 111,225 + … + 111,232 76,998 + 76,999 + … + 77,010
Aliquot sequence: 1,001,052 2,009,508 2,714,652 4,147,476 5,562,924 7,539,396 10,105,308 15,438,756 20,716,188 27,621,612 42,744,684 56,992,940 62,692,276 47,019,214 29,921,354 15,696,634 8,396,006 — unresolved within range

Continued fraction of √n

√1,001,052 = [1000; (1, 1, 9, 5, 1, 221, 1, 1, 86, 1, 1, 221, 1, 5, 9, 1, 1, 2000)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one million one thousand fifty-two
Ordinal
1001052nd
Binary
11110100011001011100
Octal
3643134
Hexadecimal
0xF465C
Base64
D0Zc
One's complement
4,293,966,243 (32-bit)
Scientific notation
1.001052 × 10⁶
As a duration
1,001,052 s = 11 days, 14 hours, 4 minutes, 12 seconds
In other bases
ternary (3) 1212212012000
quaternary (4) 3310121130
quinary (5) 224013202
senary (6) 33242300
septenary (7) 11336343
nonary (9) 1785160
undecimal (11) 624118
duodecimal (12) 403390
tridecimal (13) 290850
tetradecimal (14) 1c0b5a
pentadecimal (15) 14b91c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬一千零五十二
Chinese (financial)
壹佰萬壹仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠٠١٠٥٢ Devanagari १००१०५२ Bengali ১০০১০৫২ Tamil ௧௦௦௧௦௫௨ Thai ๑๐๐๑๐๕๒ Tibetan ༡༠༠༡༠༥༢ Khmer ១០០១០៥២ Lao ໑໐໐໑໐໕໒ Burmese ၁၀၀၁၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001052, here are decompositions:

  • 11 + 1001041 = 1001052
  • 29 + 1001023 = 1001052
  • 53 + 1000999 = 1001052
  • 71 + 1000981 = 1001052
  • 79 + 1000973 = 1001052
  • 83 + 1000969 = 1001052
  • 131 + 1000921 = 1001052
  • 163 + 1000889 = 1001052

Showing the first eight; more decompositions exist.

Hex color
#0F465C
RGB(15, 70, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.92.

Address
0.15.70.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.92

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 1,001,052 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°.