Live analysis

1,054,004

1,054,004 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.).

1,054,004 (one million fifty-four thousand four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 37,643. Its proper divisors sum to 1,054,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101534.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,054,013 1,054,014 1,054,015 1,054,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 4,004,501
Square (n²): 1,110,924,432,016
Cube (n³): 1,170,918,795,042,592,064
Divisor count: 12
σ(n) — sum of divisors: 2,108,064
φ(n) — Euler's totient: 451,704
Sum of prime factors: 37,654

Primality

Prime factorization: 2 ² × 7 × 37643

Nearest primes: 1,054,003 (−1) · 1,054,007 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 37643 · 75286 · 150572 · 263501 · 527002 (half) · 1054004

Aliquot sum (sum of proper divisors): 1,054,060

Factor pairs (a × b = 1,054,004)

1 × 1054004

2 × 527002

4 × 263501

7 × 150572

14 × 75286

28 × 37643

First multiples

1,054,004 · 2,108,008 (double) · 3,162,012 · 4,216,016 · 5,270,020 · 6,324,024 · 7,378,028 · 8,432,032 · 9,486,036 · 10,540,040

Sums & aliquot sequence

As consecutive integers: 150,569 + 150,570 + … + 150,575 131,747 + 131,748 + … + 131,754 18,794 + 18,795 + … + 18,849

Aliquot sequence: 1,054,004 → 1,054,060 → 1,476,020 → 2,343,628 → 2,343,684 → 3,906,364 → 4,688,628 → 7,814,604 → 13,703,732 → 14,449,708 → 18,127,844 → 18,775,666 → 16,399,502 → 11,713,954 → 8,747,294 → 4,373,650 → 3,761,432 — unresolved within range

Continued fraction of √n

√1,054,004 = [1026; (1, 1, 1, 4, 1, 37, 1, 11, 5, 1, 2, 2, 1, 23, 2, 5, 66, 18, 1, 4, 1, 1, 1, 2, …)]

Representations

In words: one million fifty-four thousand four
Ordinal: 1054004th
Binary: 100000001010100110100
Octal: 4012464
Hexadecimal: 0x101534
Base64: EBU0
One's complement: 4,293,913,291 (32-bit)
Scientific notation: 1.054004 × 10⁶
As a duration: 1,054,004 s = 12 days, 4 hours, 46 minutes, 44 seconds

In other bases

ternary (3) 1222112211012

quaternary (4) 10001110310

quinary (5) 232212004

senary (6) 34331352

septenary (7) 11646620

nonary (9) 1875735

undecimal (11) 65a986

duodecimal (12) 429b58

tridecimal (13) 2ab993

tetradecimal (14) 1d6180

pentadecimal (15) 15c46e

As an angle

1,054,004° = 2,927 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零五萬四千零四
Chinese (financial): 壹佰零伍萬肆仟零肆

In other modern scripts

Eastern Arabic ١٠٥٤٠٠٤ Devanagari १०५४००४ Bengali ১০৫৪০০৪ Tamil ௧௦௫௪௦௦௪ Thai ๑๐๕๔๐๐๔ Tibetan ༡༠༥༤༠༠༤ Khmer ១០៥៤០០៤ Lao ໑໐໕໔໐໐໔ Burmese ၁၀၅၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054004, here are decompositions:

13 + 1053991 = 1054004
37 + 1053967 = 1054004
277 + 1053727 = 1054004
307 + 1053697 = 1054004
313 + 1053691 = 1054004
421 + 1053583 = 1054004
433 + 1053571 = 1054004
643 + 1053361 = 1054004

Showing the first eight; more decompositions exist.

Hex color

#101534

RGB(16, 21, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.52.

Address: 0.16.21.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.21.52

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 4004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4004-05-01 (DMMYYYY (Euro, single-digit day))
4004-10-05 (MMDYYYY (US, single-digit day))
4004-05-10 (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 1,054,004 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 US1,054,004 on Google Patents ↗ Look up on USPTO ↗