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1,052,034

1,052,034 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.).

1,052,034 (one million fifty-two thousand thirty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 67 × 2,617. Its proper divisors sum to 1,084,254, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100D82.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
4,302,501
Square (n²)
1,106,775,537,156
Cube (n³)
1,164,365,495,456,375,304
Divisor count
16
σ(n) — sum of divisors
2,136,288
φ(n) — Euler's totient
345,312
Sum of prime factors
2,689

Primality

Prime factorization: 2 × 3 × 67 × 2617

Nearest primes: 1,052,027 (−7) · 1,052,039 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 67 · 134 · 201 · 402 · 2617 · 5234 · 7851 · 15702 · 175339 · 350678 · 526017 (half) · 1052034
Aliquot sum (sum of proper divisors): 1,084,254
Factor pairs (a × b = 1,052,034)
1 × 1052034
2 × 526017
3 × 350678
6 × 175339
67 × 15702
134 × 7851
201 × 5234
402 × 2617
First multiples
1,052,034 · 2,104,068 (double) · 3,156,102 · 4,208,136 · 5,260,170 · 6,312,204 · 7,364,238 · 8,416,272 · 9,468,306 · 10,520,340

Sums & aliquot sequence

As consecutive integers: 350,677 + 350,678 + 350,679 263,007 + 263,008 + 263,009 + 263,010 87,664 + 87,665 + … + 87,675 15,669 + 15,670 + … + 15,735
Aliquot sequence: 1,052,034 1,084,254 1,198,626 1,661,406 1,661,418 2,367,702 2,795,898 3,594,822 5,694,906 7,322,118 7,322,130 12,653,550 30,677,010 65,413,614 87,754,002 116,409,054 116,409,066 — unresolved within range

Continued fraction of √n

√1,052,034 = [1025; (1, 2, 5, 9, 3, 1, 3, 5, 9, 1, 1, 1, 2, 52, 4, 2, 23, 7, 2, 3, 1, 36, 1, 1, …)]

Representations

In words
one million fifty-two thousand thirty-four
Ordinal
1052034th
Binary
100000000110110000010
Octal
4006602
Hexadecimal
0x100D82
Base64
EA2C
One's complement
4,293,915,261 (32-bit)
Scientific notation
1.052034 × 10⁶
As a duration
1,052,034 s = 12 days, 4 hours, 13 minutes, 54 seconds
In other bases
ternary (3) 1222110010020
quaternary (4) 10000312002
quinary (5) 232131114
senary (6) 34314310
septenary (7) 11641104
nonary (9) 1873106
undecimal (11) 659455
duodecimal (12) 428996
tridecimal (13) 2aab09
tetradecimal (14) 1d5574
pentadecimal (15) 15baa9

As an angle

1,052,034° = 2,922 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬二千零三十四
Chinese (financial)
壹佰零伍萬貳仟零參拾肆
In other modern scripts
Eastern Arabic ١٠٥٢٠٣٤ Devanagari १०५२०३४ Bengali ১০৫২০৩৪ Tamil ௧௦௫௨௦௩௪ Thai ๑๐๕๒๐๓๔ Tibetan ༡༠༥༢༠༣༤ Khmer ១០៥២០៣៤ Lao ໑໐໕໒໐໓໔ Burmese ၁၀၅၂၀၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052034, here are decompositions:

  • 7 + 1052027 = 1052034
  • 43 + 1051991 = 1052034
  • 47 + 1051987 = 1052034
  • 73 + 1051961 = 1052034
  • 107 + 1051927 = 1052034
  • 131 + 1051903 = 1052034
  • 223 + 1051811 = 1052034
  • 271 + 1051763 = 1052034

Showing the first eight; more decompositions exist.

Hex color
#100D82
RGB(16, 13, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.130.

Address
0.16.13.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.130

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 2034 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2034-05-01 (DMMYYYY (Euro, single-digit day))
  • 2034-10-05 (MMDYYYY (US, single-digit day))
  • 2034-05-10 (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 1,052,034 and was likely granted around 1912.

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°.