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1,010,034

1,010,034 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.).

1,010,034 (one million ten thousand thirty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 56,113. Its proper divisors sum to 1,178,412, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6972.

Abundant Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,300,101
Square (n²)
1,020,168,681,156
Cube (n³)
1,030,405,053,702,719,304
Divisor count
12
σ(n) — sum of divisors
2,188,446
φ(n) — Euler's totient
336,672
Sum of prime factors
56,121

Primality

Prime factorization: 2 × 3 2 × 56113

Nearest primes: 1,010,033 (−1) · 1,010,069 (+35)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 56113 · 112226 · 168339 · 336678 · 505017 (half) · 1010034
Aliquot sum (sum of proper divisors): 1,178,412
Factor pairs (a × b = 1,010,034)
1 × 1010034
2 × 505017
3 × 336678
6 × 168339
9 × 112226
18 × 56113
First multiples
1,010,034 · 2,020,068 (double) · 3,030,102 · 4,040,136 · 5,050,170 · 6,060,204 · 7,070,238 · 8,080,272 · 9,090,306 · 10,100,340

Sums & aliquot sequence

As a sum of two squares: 3² + 1,005²
As consecutive integers: 336,677 + 336,678 + 336,679 252,507 + 252,508 + 252,509 + 252,510 112,222 + 112,223 + … + 112,230 84,164 + 84,165 + … + 84,175
Aliquot sequence: 1,010,034 1,178,412 1,588,884 2,455,884 3,752,136 7,047,864 12,862,536 19,293,864 28,940,856 56,430,024 104,799,096 213,890,184 366,109,236 560,489,164 423,147,980 465,849,220 563,923,580 — unresolved within range

Continued fraction of √n

√1,010,034 = [1005; (223, 2, 1, 222, 1, 2, 223, 2010)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand thirty-four
Ordinal
1010034th
Binary
11110110100101110010
Octal
3664562
Hexadecimal
0xF6972
Base64
D2ly
One's complement
4,293,957,261 (32-bit)
Scientific notation
1.010034 × 10⁶
As a duration
1,010,034 s = 11 days, 16 hours, 33 minutes, 54 seconds
In other bases
ternary (3) 1220022111200
quaternary (4) 3312211302
quinary (5) 224310114
senary (6) 33352030
septenary (7) 11404464
nonary (9) 1808450
undecimal (11) 62a943
duodecimal (12) 408616
tridecimal (13) 29496c
tetradecimal (14) 1c4134
pentadecimal (15) 14e409

As an angle

1,010,034° = 2,805 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬零三十四
Chinese (financial)
壹佰零壹萬零參拾肆
In other modern scripts
Eastern Arabic ١٠١٠٠٣٤ Devanagari १०१००३४ Bengali ১০১০০৩৪ Tamil ௧௦௧௦௦௩௪ Thai ๑๐๑๐๐๓๔ Tibetan ༡༠༡༠༠༣༤ Khmer ១០១០០៣៤ Lao ໑໐໑໐໐໓໔ Burmese ၁၀၁၀၀၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010034, here are decompositions:

  • 31 + 1010003 = 1010034
  • 37 + 1009997 = 1010034
  • 41 + 1009993 = 1010034
  • 43 + 1009991 = 1010034
  • 71 + 1009963 = 1010034
  • 83 + 1009951 = 1010034
  • 97 + 1009937 = 1010034
  • 107 + 1009927 = 1010034

Showing the first eight; more decompositions exist.

Hex color
#0F6972
RGB(15, 105, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.114.

Address
0.15.105.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.105.114

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 0034 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0034-10-01 (MMDYYYY (US, single-digit day))
  • 0034-01-10 (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 1,010,034 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°.