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1,053,492

1,053,492 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.).

1,053,492 (one million fifty-three thousand four hundred ninety-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 23 × 347. Its proper divisors sum to 1,752,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101334.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
2,943,501
Square (n²)
1,109,845,394,064
Cube (n³)
1,169,213,243,883,271,488
Divisor count
48
σ(n) — sum of divisors
2,806,272
φ(n) — Euler's totient
304,480
Sum of prime factors
388

Primality

Prime factorization: 2 2 × 3 × 11 × 23 × 347

Nearest primes: 1,053,491 (−1) · 1,053,497 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 23 · 33 · 44 · 46 · 66 · 69 · 92 · 132 · 138 · 253 · 276 · 347 · 506 · 694 · 759 · 1012 · 1041 · 1388 · 1518 · 2082 · 3036 · 3817 · 4164 · 7634 · 7981 · 11451 · 15268 · 15962 · 22902 · 23943 · 31924 · 45804 · 47886 · 87791 · 95772 · 175582 · 263373 · 351164 · 526746 (half) · 1053492
Aliquot sum (sum of proper divisors): 1,752,780
Factor pairs (a × b = 1,053,492)
1 × 1053492
2 × 526746
3 × 351164
4 × 263373
6 × 175582
11 × 95772
12 × 87791
22 × 47886
23 × 45804
33 × 31924
44 × 23943
46 × 22902
66 × 15962
69 × 15268
92 × 11451
132 × 7981
138 × 7634
253 × 4164
276 × 3817
347 × 3036
506 × 2082
694 × 1518
759 × 1388
1012 × 1041
First multiples
1,053,492 · 2,106,984 (double) · 3,160,476 · 4,213,968 · 5,267,460 · 6,320,952 · 7,374,444 · 8,427,936 · 9,481,428 · 10,534,920

Sums & aliquot sequence

As consecutive integers: 351,163 + 351,164 + 351,165 131,683 + 131,684 + … + 131,690 95,767 + 95,768 + … + 95,777 45,793 + 45,794 + … + 45,815
Aliquot sequence: 1,053,492 1,752,780 3,214,644 4,286,220 7,715,364 10,287,180 21,420,132 30,963,612 46,208,868 62,303,004 95,438,580 171,789,612 237,522,900 453,370,380 816,066,852 1,088,089,164 1,801,449,852 — unresolved within range

Continued fraction of √n

√1,053,492 = [1026; (2, 1, 1, 15, 1, 21, 7, 1, 1, 170, 1, 1, 7, 21, 1, 15, 1, 1, 2, 2052)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand four hundred ninety-two
Ordinal
1053492nd
Binary
100000001001100110100
Octal
4011464
Hexadecimal
0x101334
Base64
EBM0
One's complement
4,293,913,803 (32-bit)
Scientific notation
1.053492 × 10⁶
As a duration
1,053,492 s = 12 days, 4 hours, 38 minutes, 12 seconds
In other bases
ternary (3) 1222112010020
quaternary (4) 10001030310
quinary (5) 232202432
senary (6) 34325140
septenary (7) 11645256
nonary (9) 1875106
undecimal (11) 65a560
duodecimal (12) 4297b0
tridecimal (13) 2ab68b
tetradecimal (14) 1d5cd6
pentadecimal (15) 15c22c

As an angle

1,053,492° = 2,926 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬三千四百九十二
Chinese (financial)
壹佰零伍萬參仟肆佰玖拾貳
In other modern scripts
Eastern Arabic ١٠٥٣٤٩٢ Devanagari १०५३४९२ Bengali ১০৫৩৪৯২ Tamil ௧௦௫௩௪௯௨ Thai ๑๐๕๓๔๙๒ Tibetan ༡༠༥༣༤༩༢ Khmer ១០៥៣៤៩២ Lao ໑໐໕໓໔໙໒ Burmese ၁၀၅၃၄၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053492, here are decompositions:

  • 5 + 1053487 = 1053492
  • 31 + 1053461 = 1053492
  • 43 + 1053449 = 1053492
  • 71 + 1053421 = 1053492
  • 109 + 1053383 = 1053492
  • 131 + 1053361 = 1053492
  • 173 + 1053319 = 1053492
  • 191 + 1053301 = 1053492

Showing the first eight; more decompositions exist.

Hex color
#101334
RGB(16, 19, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.52.

Address
0.16.19.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.52

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 3492 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3492-05-01 (DMMYYYY (Euro, single-digit day))
  • 3492-10-05 (MMDYYYY (US, single-digit day))
  • 3492-05-10 (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 1,053,492 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°.