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1,054,608

1,054,608 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.).

1,054,608 (one million fifty-four thousand six hundred eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 127 × 173. Its proper divisors sum to 1,707,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101790.

Abundant Number Harshad / Niven Odious Number Pernicious 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
8,064,501
Square (n²)
1,112,198,033,664
Cube (n³)
1,172,932,943,886,323,712
Divisor count
40
σ(n) — sum of divisors
2,761,728
φ(n) — Euler's totient
346,752
Sum of prime factors
311

Primality

Prime factorization: 2 4 × 3 × 127 × 173

Nearest primes: 1,054,607 (−1) · 1,054,609 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 127 · 173 · 254 · 346 · 381 · 508 · 519 · 692 · 762 · 1016 · 1038 · 1384 · 1524 · 2032 · 2076 · 2768 · 3048 · 4152 · 6096 · 8304 · 21971 · 43942 · 65913 · 87884 · 131826 · 175768 · 263652 · 351536 · 527304 (half) · 1054608
Aliquot sum (sum of proper divisors): 1,707,120
Factor pairs (a × b = 1,054,608)
1 × 1054608
2 × 527304
3 × 351536
4 × 263652
6 × 175768
8 × 131826
12 × 87884
16 × 65913
24 × 43942
48 × 21971
127 × 8304
173 × 6096
254 × 4152
346 × 3048
381 × 2768
508 × 2076
519 × 2032
692 × 1524
762 × 1384
1016 × 1038
First multiples
1,054,608 · 2,109,216 (double) · 3,163,824 · 4,218,432 · 5,273,040 · 6,327,648 · 7,382,256 · 8,436,864 · 9,491,472 · 10,546,080

Sums & aliquot sequence

As consecutive integers: 351,535 + 351,536 + 351,537 32,941 + 32,942 + … + 32,972 10,938 + 10,939 + … + 11,033 8,241 + 8,242 + … + 8,367
Aliquot sequence: 1,054,608 1,707,120 4,028,376 6,958,824 10,438,296 19,542,504 29,597,496 44,537,544 76,085,166 85,036,578 100,929,054 101,505,138 130,941,966 137,831,154 144,268,686 168,313,506 179,921,694 — unresolved within range

Continued fraction of √n

√1,054,608 = [1026; (1, 15, 1, 38, 1, 1, 3, 1, 11, 1, 1, 11, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 16, 1, …)]

Representations

In words
one million fifty-four thousand six hundred eight
Ordinal
1054608th
Binary
100000001011110010000
Octal
4013620
Hexadecimal
0x101790
Base64
EBeQ
One's complement
4,293,912,687 (32-bit)
Scientific notation
1.054608 × 10⁶
As a duration
1,054,608 s = 12 days, 4 hours, 56 minutes, 48 seconds
In other bases
ternary (3) 1222120122120
quaternary (4) 10001132100
quinary (5) 232221413
senary (6) 34334240
septenary (7) 11651442
nonary (9) 1876576
undecimal (11) 660385
duodecimal (12) 42a380
tridecimal (13) 2ac039
tetradecimal (14) 1d6492
pentadecimal (15) 15c723

As an angle

1,054,608° = 2,929 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬四千六百零八
Chinese (financial)
壹佰零伍萬肆仟陸佰零捌
In other modern scripts
Eastern Arabic ١٠٥٤٦٠٨ Devanagari १०५४६०८ Bengali ১০৫৪৬০৮ Tamil ௧௦௫௪௬௦௮ Thai ๑๐๕๔๖๐๘ Tibetan ༡༠༥༤༦༠༨ Khmer ១០៥៤៦០៨ Lao ໑໐໕໔໖໐໘ Burmese ၁၀၅၄၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054608, here are decompositions:

  • 11 + 1054597 = 1054608
  • 31 + 1054577 = 1054608
  • 59 + 1054549 = 1054608
  • 131 + 1054477 = 1054608
  • 151 + 1054457 = 1054608
  • 167 + 1054441 = 1054608
  • 179 + 1054429 = 1054608
  • 227 + 1054381 = 1054608

Showing the first eight; more decompositions exist.

Hex color
#101790
RGB(16, 23, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.23.144.

Address
0.16.23.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.23.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 4608 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4608-05-01 (DMMYYYY (Euro, single-digit day))
  • 4608-10-05 (MMDYYYY (US, single-digit day))
  • 4608-05-10 (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 1,054,608 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°.