Live analysis

1,054,000

1,054,000 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.).

1,054,000 (one million fifty-four thousand) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5³ × 17 × 31. Its proper divisors sum to 1,731,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101530.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,053,988 1,053,989 1,053,990 1,053,991 1,053,992 1,053,993 1,053,994 1,053,995 1,053,996 1,053,997 1,053,998 1,053,999 1,054,000 1,054,001 1,054,002 1,054,003 1,054,004 1,054,005 1,054,006 1,054,007 1,054,008 1,054,009 1,054,010 1,054,011 1,054,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 21 bits
Reversed: 4,501
Square (n²): 1,110,916,000,000
Cube (n³): 1,170,905,464,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 2,785,536
φ(n) — Euler's totient: 384,000
Sum of prime factors: 71

Primality

Prime factorization: 2 ⁴ × 5 ³ × 17 × 31

Nearest primes: 1,053,991 (−9) · 1,054,003 (+3)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 31 · 34 · 40 · 50 · 62 · 68 · 80 · 85 · 100 · 124 · 125 · 136 · 155 · 170 · 200 · 248 · 250 · 272 · 310 · 340 · 400 · 425 · 496 · 500 · 527 · 620 · 680 · 775 · 850 · 1000 · 1054 · 1240 · 1360 · 1550 · 1700 · 2000 · 2108 · 2125 · 2480 · 2635 · 3100 · 3400 · 3875 · 4216 · 4250 · 5270 · 6200 · 6800 · 7750 · 8432 · 8500 · 10540 · 12400 · 13175 · 15500 · 17000 · 21080 · 26350 · 31000 · 34000 · 42160 · 52700 · 62000 · 65875 · 105400 · 131750 · 210800 · 263500 · 527000 (half) · 1054000

Aliquot sum (sum of proper divisors): 1,731,536

Factor pairs (a × b = 1,054,000)

1 × 1054000

2 × 527000

4 × 263500

5 × 210800

8 × 131750

10 × 105400

16 × 65875

17 × 62000

20 × 52700

25 × 42160

31 × 34000

34 × 31000

40 × 26350

50 × 21080

62 × 17000

68 × 15500

80 × 13175

85 × 12400

100 × 10540

124 × 8500

125 × 8432

136 × 7750

155 × 6800

170 × 6200

200 × 5270

248 × 4250

250 × 4216

272 × 3875

310 × 3400

340 × 3100

400 × 2635

425 × 2480

496 × 2125

500 × 2108

527 × 2000

620 × 1700

680 × 1550

775 × 1360

850 × 1240

1000 × 1054

First multiples

1,054,000 · 2,108,000 (double) · 3,162,000 · 4,216,000 · 5,270,000 · 6,324,000 · 7,378,000 · 8,432,000 · 9,486,000 · 10,540,000

Sums & aliquot sequence

As consecutive integers: 210,798 + 210,799 + 210,800 + 210,801 + 210,802 61,992 + 61,993 + … + 62,008 42,148 + 42,149 + … + 42,172 33,985 + 33,986 + … + 34,015

Aliquot sequence: 1,054,000 → 1,731,536 → 1,732,528 → 2,235,472 → 2,236,464 → 4,429,776 → 8,347,184 → 8,348,176 → 8,349,168 → 14,060,856 → 22,227,144 → 33,340,776 → 63,623,064 → 95,434,656 → 155,664,192 → 262,980,640 → 406,108,088 — unresolved within range

Continued fraction of √n

√1,054,000 = [1026; (1, 1, 1, 4, 2, 6, 1, 81, 3, 1, 3, 4, 1, 6, 2, 81, 1, 1, 1, 127, 1, 1, 1, 81, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million fifty-four thousand
Ordinal: 1054000th
Binary: 100000001010100110000
Octal: 4012460
Hexadecimal: 0x101530
Base64: EBUw
One's complement: 4,293,913,295 (32-bit)
Scientific notation: 1.054 × 10⁶
As a duration: 1,054,000 s = 12 days, 4 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1222112211001

quaternary (4) 10001110300

quinary (5) 232212000

senary (6) 34331344

septenary (7) 11646613

nonary (9) 1875731

undecimal (11) 65a982

duodecimal (12) 429b54

tridecimal (13) 2ab98c

tetradecimal (14) 1d617a

pentadecimal (15) 15c46a

As an angle

1,054,000° = 2,927 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Chinese: 一百零五萬四千
Chinese (financial): 壹佰零伍萬肆仟

In other modern scripts

Eastern Arabic ١٠٥٤٠٠٠ Devanagari १०५४००० Bengali ১০৫৪০০০ Tamil ௧௦௫௪௦௦௦ Thai ๑๐๕๔๐๐๐ Tibetan ༡༠༥༤༠༠༠ Khmer ១០៥៤០០០ Lao ໑໐໕໔໐໐໐ Burmese ၁၀၅၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054000, here are decompositions:

11 + 1053989 = 1054000
29 + 1053971 = 1054000
41 + 1053959 = 1054000
47 + 1053953 = 1054000
137 + 1053863 = 1054000
173 + 1053827 = 1054000
179 + 1053821 = 1054000
191 + 1053809 = 1054000

Showing the first eight; more decompositions exist.

Hex color

#101530

RGB(16, 21, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.48.

Address: 0.16.21.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.21.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 4000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4000-05-01 (DMMYYYY (Euro, single-digit day))
4000-10-05 (MMDYYYY (US, single-digit day))
4000-05-10 (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 1,054,000 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,054,000 on Google Patents ↗ Look up on USPTO ↗