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1,053,552

1,053,552 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.).

1,053,552 (one million fifty-three thousand five hundred fifty-two) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 47 × 467. Its proper divisors sum to 1,731,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101370.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
2,553,501
Square (n²)
1,109,971,816,704
Cube (n³)
1,169,413,027,432,132,608
Divisor count
40
σ(n) — sum of divisors
2,785,536
φ(n) — Euler's totient
342,976
Sum of prime factors
525

Primality

Prime factorization: 2 4 × 3 × 47 × 467

Nearest primes: 1,053,551 (−1) · 1,053,557 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 47 · 48 · 94 · 141 · 188 · 282 · 376 · 467 · 564 · 752 · 934 · 1128 · 1401 · 1868 · 2256 · 2802 · 3736 · 5604 · 7472 · 11208 · 21949 · 22416 · 43898 · 65847 · 87796 · 131694 · 175592 · 263388 · 351184 · 526776 (half) · 1053552
Aliquot sum (sum of proper divisors): 1,731,984
Factor pairs (a × b = 1,053,552)
1 × 1053552
2 × 526776
3 × 351184
4 × 263388
6 × 175592
8 × 131694
12 × 87796
16 × 65847
24 × 43898
47 × 22416
48 × 21949
94 × 11208
141 × 7472
188 × 5604
282 × 3736
376 × 2802
467 × 2256
564 × 1868
752 × 1401
934 × 1128
First multiples
1,053,552 · 2,107,104 (double) · 3,160,656 · 4,214,208 · 5,267,760 · 6,321,312 · 7,374,864 · 8,428,416 · 9,481,968 · 10,535,520

Sums & aliquot sequence

As consecutive integers: 351,183 + 351,184 + 351,185 32,908 + 32,909 + … + 32,939 22,393 + 22,394 + … + 22,439 10,927 + 10,928 + … + 11,022
Aliquot sequence: 1,053,552 1,731,984 2,742,432 6,565,440 17,282,112 28,443,984 46,750,608 88,562,966 44,281,486 27,999,602 17,013,070 13,610,474 7,151,446 3,884,138 2,007,802 1,181,114 805,222 — unresolved within range

Continued fraction of √n

√1,053,552 = [1026; (2, 2, 1, 10, 1, 7, 1, 1, 1, 1, 11, 16, 1, 7, 3, 3, 3, 7, 1, 16, 11, 1, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand five hundred fifty-two
Ordinal
1053552nd
Binary
100000001001101110000
Octal
4011560
Hexadecimal
0x101370
Base64
EBNw
One's complement
4,293,913,743 (32-bit)
Scientific notation
1.053552 × 10⁶
As a duration
1,053,552 s = 12 days, 4 hours, 39 minutes, 12 seconds
In other bases
ternary (3) 1222112012110
quaternary (4) 10001031300
quinary (5) 232203202
senary (6) 34325320
septenary (7) 11645403
nonary (9) 1875173
undecimal (11) 65a605
duodecimal (12) 429840
tridecimal (13) 2ab706
tetradecimal (14) 1d5d3a
pentadecimal (15) 15c26c

As an angle

1,053,552° = 2,926 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬三千五百五十二
Chinese (financial)
壹佰零伍萬參仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٥٣٥٥٢ Devanagari १०५३५५२ Bengali ১০৫৩৫৫২ Tamil ௧௦௫௩௫௫௨ Thai ๑๐๕๓๕๕๒ Tibetan ༡༠༥༣༥༥༢ Khmer ១០៥៣៥៥២ Lao ໑໐໕໓໕໕໒ Burmese ၁၀၅၃၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053552, here are decompositions:

  • 13 + 1053539 = 1053552
  • 23 + 1053529 = 1053552
  • 41 + 1053511 = 1053552
  • 43 + 1053509 = 1053552
  • 61 + 1053491 = 1053552
  • 103 + 1053449 = 1053552
  • 131 + 1053421 = 1053552
  • 151 + 1053401 = 1053552

Showing the first eight; more decompositions exist.

Hex color
#101370
RGB(16, 19, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.112.

Address
0.16.19.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 3552 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3552-05-01 (DMMYYYY (Euro, single-digit day))
  • 3552-10-05 (MMDYYYY (US, single-digit day))
  • 3552-05-10 (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 1,053,552 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°.