Live analysis

1,053,672

1,053,672 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.).

1,053,672 (one million fifty-three thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 43 × 1,021. Its proper divisors sum to 1,644,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1013E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,053,660 1,053,661 1,053,662 1,053,663 1,053,664 1,053,665 1,053,666 1,053,667 1,053,668 1,053,669 1,053,670 1,053,671 1,053,672 1,053,673 1,053,674 1,053,675 1,053,676 1,053,677 1,053,678 1,053,679 1,053,680 1,053,681 1,053,682 1,053,683 1,053,684

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 21 bits
Reversed: 2,763,501
Square (n²): 1,110,224,683,584
Cube (n³): 1,169,812,662,801,320,448
Divisor count: 32
σ(n) — sum of divisors: 2,698,080
φ(n) — Euler's totient: 342,720
Sum of prime factors: 1,073

Primality

Prime factorization: 2 ³ × 3 × 43 × 1021

Nearest primes: 1,053,617 (−55) · 1,053,691 (+19)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43 · 86 · 129 · 172 · 258 · 344 · 516 · 1021 · 1032 · 2042 · 3063 · 4084 · 6126 · 8168 · 12252 · 24504 · 43903 · 87806 · 131709 · 175612 · 263418 · 351224 · 526836 (half) · 1053672

Aliquot sum (sum of proper divisors): 1,644,408

Factor pairs (a × b = 1,053,672)

1 × 1053672

2 × 526836

3 × 351224

4 × 263418

6 × 175612

8 × 131709

12 × 87806

24 × 43903

43 × 24504

86 × 12252

129 × 8168

172 × 6126

258 × 4084

344 × 3063

516 × 2042

1021 × 1032

First multiples

1,053,672 · 2,107,344 (double) · 3,161,016 · 4,214,688 · 5,268,360 · 6,322,032 · 7,375,704 · 8,429,376 · 9,483,048 · 10,536,720

Sums & aliquot sequence

As consecutive integers: 351,223 + 351,224 + 351,225 65,847 + 65,848 + … + 65,862 24,483 + 24,484 + … + 24,525 21,928 + 21,929 + … + 21,975

Aliquot sequence: 1,053,672 → 1,644,408 → 3,136,392 → 6,847,608 → 10,271,472 → 16,263,288 → 33,157,512 → 59,716,038 → 62,801,466 → 91,788,102 → 135,497,034 → 166,015,866 → 166,015,878 → 213,449,082 → 329,599,494 → 486,551,946 → 498,768,054 — unresolved within range

Continued fraction of √n

√1,053,672 = [1026; (2, 16, 2, 7, 28, 1, 3, 1, 1, 2, 1, 3, 2, 11, 1, 2, 2, 2, 2, 1, 1, 1, 5, 7, …)]

Representations

In words: one million fifty-three thousand six hundred seventy-two
Ordinal: 1053672nd
Binary: 100000001001111101000
Octal: 4011750
Hexadecimal: 0x1013E8
Base64: EBPo
One's complement: 4,293,913,623 (32-bit)
Scientific notation: 1.053672 × 10⁶
As a duration: 1,053,672 s = 12 days, 4 hours, 41 minutes, 12 seconds

In other bases

ternary (3) 1222112100220

quaternary (4) 10001033220

quinary (5) 232204142

senary (6) 34330040

septenary (7) 11645634

nonary (9) 1875326

undecimal (11) 65a704

duodecimal (12) 429920

tridecimal (13) 2ab799

tetradecimal (14) 1d5dc4

pentadecimal (15) 15c2ec

As an angle

1,053,672° = 2,926 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零五萬三千六百七十二
Chinese (financial): 壹佰零伍萬參仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٥٣٦٧٢ Devanagari १०५३६७२ Bengali ১০৫৩৬৭২ Tamil ௧௦௫௩௬௭௨ Thai ๑๐๕๓๖๗๒ Tibetan ༡༠༥༣༦༧༢ Khmer ១០៥៣៦៧២ Lao ໑໐໕໓໖໗໒ Burmese ၁၀၅၃၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053672, here are decompositions:

79 + 1053593 = 1053672
83 + 1053589 = 1053672
89 + 1053583 = 1053672
101 + 1053571 = 1053672
163 + 1053509 = 1053672
181 + 1053491 = 1053672
211 + 1053461 = 1053672
223 + 1053449 = 1053672

Showing the first eight; more decompositions exist.

Hex color

#1013E8

RGB(16, 19, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.232.

Address: 0.16.19.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.19.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 3672 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

3672-05-01 (DMMYYYY (Euro, single-digit day))
3672-10-05 (MMDYYYY (US, single-digit day))
3672-05-10 (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 1,053,672 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 US1,053,672 on Google Patents ↗ Look up on USPTO ↗