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1,012,704

1,012,704 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.).

1,012,704 (one million twelve thousand seven hundred four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 11 × 137. Its proper divisors sum to 2,325,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF73E0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,072,101
Square (n²)
1,025,569,391,616
Cube (n³)
1,038,598,225,167,089,664
Divisor count
96
σ(n) — sum of divisors
3,338,496
φ(n) — Euler's totient
261,120
Sum of prime factors
168

Primality

Prime factorization: 2 5 × 3 × 7 × 11 × 137

Nearest primes: 1,012,703 (−1) · 1,012,717 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 21 · 22 · 24 · 28 · 32 · 33 · 42 · 44 · 48 · 56 · 66 · 77 · 84 · 88 · 96 · 112 · 132 · 137 · 154 · 168 · 176 · 224 · 231 · 264 · 274 · 308 · 336 · 352 · 411 · 462 · 528 · 548 · 616 · 672 · 822 · 924 · 959 · 1056 · 1096 · 1232 · 1507 · 1644 · 1848 · 1918 · 2192 · 2464 · 2877 · 3014 · 3288 · 3696 · 3836 · 4384 · 4521 · 5754 · 6028 · 6576 · 7392 · 7672 · 9042 · 10549 · 11508 · 12056 · 13152 · 15344 · 18084 · 21098 · 23016 · 24112 · 30688 · 31647 · 36168 · 42196 · 46032 · 48224 · 63294 · 72336 · 84392 · 92064 · 126588 · 144672 · 168784 · 253176 · 337568 · 506352 (half) · 1012704
Aliquot sum (sum of proper divisors): 2,325,792
Factor pairs (a × b = 1,012,704)
1 × 1012704
2 × 506352
3 × 337568
4 × 253176
6 × 168784
7 × 144672
8 × 126588
11 × 92064
12 × 84392
14 × 72336
16 × 63294
21 × 48224
22 × 46032
24 × 42196
28 × 36168
32 × 31647
33 × 30688
42 × 24112
44 × 23016
48 × 21098
56 × 18084
66 × 15344
77 × 13152
84 × 12056
88 × 11508
96 × 10549
112 × 9042
132 × 7672
137 × 7392
154 × 6576
168 × 6028
176 × 5754
224 × 4521
231 × 4384
264 × 3836
274 × 3696
308 × 3288
336 × 3014
352 × 2877
411 × 2464
462 × 2192
528 × 1918
548 × 1848
616 × 1644
672 × 1507
822 × 1232
924 × 1096
959 × 1056
First multiples
1,012,704 · 2,025,408 (double) · 3,038,112 · 4,050,816 · 5,063,520 · 6,076,224 · 7,088,928 · 8,101,632 · 9,114,336 · 10,127,040

Sums & aliquot sequence

As consecutive integers: 337,567 + 337,568 + 337,569 144,669 + 144,670 + … + 144,675 92,059 + 92,060 + … + 92,069 48,214 + 48,215 + … + 48,234
Aliquot sequence: 1,012,704 2,325,792 4,653,600 12,720,288 27,148,128 55,588,512 111,179,040 312,846,240 879,867,744 1,764,833,952 3,546,060,000 9,748,984,224 19,799,680,992 — keeps growing

Continued fraction of √n

√1,012,704 = [1006; (3, 80, 5, 1, 3, 2, 1, 2, 1, 1, 8, 1, 3, 1, 1, 1, 1, 5, 9, 5, 2, 6, 1, 11, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one million twelve thousand seven hundred four
Ordinal
1012704th
Binary
11110111001111100000
Octal
3671740
Hexadecimal
0xF73E0
Base64
D3Pg
One's complement
4,293,954,591 (32-bit)
Scientific notation
1.012704 × 10⁶
As a duration
1,012,704 s = 11 days, 17 hours, 18 minutes, 24 seconds
In other bases
ternary (3) 1220110011120
quaternary (4) 3313033200
quinary (5) 224401304
senary (6) 33412240
septenary (7) 11415330
nonary (9) 1813146
undecimal (11) 631950
duodecimal (12) 40a080
tridecimal (13) 295c44
tetradecimal (14) 1c50c0
pentadecimal (15) 1500d9

As an angle

1,012,704° = 2,813 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千七百零四
Chinese (financial)
壹佰零壹萬貳仟柒佰零肆
In other modern scripts
Eastern Arabic ١٠١٢٧٠٤ Devanagari १०१२७०४ Bengali ১০১২৭০৪ Tamil ௧௦௧௨௭௦௪ Thai ๑๐๑๒๗๐๔ Tibetan ༡༠༡༢༧༠༤ Khmer ១០១២៧០៤ Lao ໑໐໑໒໗໐໔ Burmese ၁၀၁၂၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012704, here are decompositions:

  • 5 + 1012699 = 1012704
  • 13 + 1012691 = 1012704
  • 41 + 1012663 = 1012704
  • 47 + 1012657 = 1012704
  • 67 + 1012637 = 1012704
  • 71 + 1012633 = 1012704
  • 73 + 1012631 = 1012704
  • 103 + 1012601 = 1012704

Showing the first eight; more decompositions exist.

Hex color
#0F73E0
RGB(15, 115, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.224.

Address
0.15.115.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.115.224

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 2704 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2704-10-01 (MMDYYYY (US, single-digit day))
  • 2704-01-10 (DDMYYYY (Euro, single-digit month))
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 1,012,704 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°.