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1,052,504

1,052,504 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.).

1,052,504 (one million fifty-two thousand five hundred four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 71 × 109. Its proper divisors sum to 1,085,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100F58.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
4,052,501
Square (n²)
1,107,764,670,016
Cube (n³)
1,165,926,746,250,520,064
Divisor count
32
σ(n) — sum of divisors
2,138,400
φ(n) — Euler's totient
483,840
Sum of prime factors
203

Primality

Prime factorization: 2 3 × 17 × 71 × 109

Nearest primes: 1,052,489 (−15) · 1,052,531 (+27)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 17 · 34 · 68 · 71 · 109 · 136 · 142 · 218 · 284 · 436 · 568 · 872 · 1207 · 1853 · 2414 · 3706 · 4828 · 7412 · 7739 · 9656 · 14824 · 15478 · 30956 · 61912 · 131563 · 263126 · 526252 (half) · 1052504
Aliquot sum (sum of proper divisors): 1,085,896
Factor pairs (a × b = 1,052,504)
1 × 1052504
2 × 526252
4 × 263126
8 × 131563
17 × 61912
34 × 30956
68 × 15478
71 × 14824
109 × 9656
136 × 7739
142 × 7412
218 × 4828
284 × 3706
436 × 2414
568 × 1853
872 × 1207
First multiples
1,052,504 · 2,105,008 (double) · 3,157,512 · 4,210,016 · 5,262,520 · 6,315,024 · 7,367,528 · 8,420,032 · 9,472,536 · 10,525,040

Sums & aliquot sequence

As consecutive integers: 65,774 + 65,775 + … + 65,789 61,904 + 61,905 + … + 61,920 14,789 + 14,790 + … + 14,859 9,602 + 9,603 + … + 9,710
Aliquot sequence: 1,052,504 1,085,896 1,241,144 1,102,456 1,073,744 1,304,080 1,728,092 1,296,076 983,796 1,616,844 2,214,004 1,958,640 4,113,888 6,685,320 13,371,000 28,355,880 68,867,160 — unresolved within range

Continued fraction of √n

√1,052,504 = [1025; (1, 10, 1, 13, 4, 3, 1, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 1, 5, 1, 1, 3, 3, …)]

Representations

In words
one million fifty-two thousand five hundred four
Ordinal
1052504th
Binary
100000000111101011000
Octal
4007530
Hexadecimal
0x100F58
Base64
EA9Y
One's complement
4,293,914,791 (32-bit)
Scientific notation
1.052504 × 10⁶
As a duration
1,052,504 s = 12 days, 4 hours, 21 minutes, 44 seconds
In other bases
ternary (3) 1222110202122
quaternary (4) 10000331120
quinary (5) 232140004
senary (6) 34320412
septenary (7) 11642345
nonary (9) 1873678
undecimal (11) 659842
duodecimal (12) 429108
tridecimal (13) 2ab0ab
tetradecimal (14) 1d57cc
pentadecimal (15) 15bcbe

As an angle

1,052,504° = 2,923 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese
一百零五萬二千五百零四
Chinese (financial)
壹佰零伍萬貳仟伍佰零肆
In other modern scripts
Eastern Arabic ١٠٥٢٥٠٤ Devanagari १०५२५०४ Bengali ১০৫২৫০৪ Tamil ௧௦௫௨௫௦௪ Thai ๑๐๕๒๕๐๔ Tibetan ༡༠༥༢༥༠༤ Khmer ១០៥២៥០៤ Lao ໑໐໕໒໕໐໔ Burmese ၁၀၅၂၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052504, here are decompositions:

  • 31 + 1052473 = 1052504
  • 67 + 1052437 = 1052504
  • 73 + 1052431 = 1052504
  • 223 + 1052281 = 1052504
  • 283 + 1052221 = 1052504
  • 307 + 1052197 = 1052504
  • 367 + 1052137 = 1052504
  • 421 + 1052083 = 1052504

Showing the first eight; more decompositions exist.

Hex color
#100F58
RGB(16, 15, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.15.88.

Address
0.16.15.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.15.88

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 2504 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2504-05-01 (DMMYYYY (Euro, single-digit day))
  • 2504-10-05 (MMDYYYY (US, single-digit day))
  • 2504-05-10 (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 1,052,504 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°.