Live analysis

1,053,072

1,053,072 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.).

1,053,072 (one million fifty-three thousand seventy-two) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 71 × 103. Its proper divisors sum to 1,964,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101190.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,053,060 1,053,061 1,053,062 1,053,063 1,053,064 1,053,065 1,053,066 1,053,067 1,053,068 1,053,069 1,053,070 1,053,071 1,053,072 1,053,073 1,053,074 1,053,075 1,053,076 1,053,077 1,053,078 1,053,079 1,053,080 1,053,081 1,053,082 1,053,083 1,053,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 21 bits
Reversed: 2,703,501
Square (n²): 1,108,960,637,184
Cube (n³): 1,167,815,396,120,629,248
Divisor count: 60
σ(n) — sum of divisors: 3,017,664
φ(n) — Euler's totient: 342,720
Sum of prime factors: 188

Primality

Prime factorization: 2 ⁴ × 3 ² × 71 × 103

Nearest primes: 1,053,071 (−1) · 1,053,079 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 71 · 72 · 103 · 142 · 144 · 206 · 213 · 284 · 309 · 412 · 426 · 568 · 618 · 639 · 824 · 852 · 927 · 1136 · 1236 · 1278 · 1648 · 1704 · 1854 · 2472 · 2556 · 3408 · 3708 · 4944 · 5112 · 7313 · 7416 · 10224 · 14626 · 14832 · 21939 · 29252 · 43878 · 58504 · 65817 · 87756 · 117008 · 131634 · 175512 · 263268 · 351024 · 526536 (half) · 1053072

Aliquot sum (sum of proper divisors): 1,964,592

Factor pairs (a × b = 1,053,072)

1 × 1053072

2 × 526536

3 × 351024

4 × 263268

6 × 175512

8 × 131634

9 × 117008

12 × 87756

16 × 65817

18 × 58504

24 × 43878

36 × 29252

48 × 21939

71 × 14832

72 × 14626

103 × 10224

142 × 7416

144 × 7313

206 × 5112

213 × 4944

284 × 3708

309 × 3408

412 × 2556

426 × 2472

568 × 1854

618 × 1704

639 × 1648

824 × 1278

852 × 1236

927 × 1136

First multiples

1,053,072 · 2,106,144 (double) · 3,159,216 · 4,212,288 · 5,265,360 · 6,318,432 · 7,371,504 · 8,424,576 · 9,477,648 · 10,530,720

Sums & aliquot sequence

As consecutive integers: 351,023 + 351,024 + 351,025 117,004 + 117,005 + … + 117,012 32,893 + 32,894 + … + 32,924 14,797 + 14,798 + … + 14,867

Aliquot sequence: 1,053,072 → 1,964,592 → 4,322,208 → 8,058,048 → 13,262,712 → 20,046,168 → 34,455,552 → 57,554,184 → 89,049,336 → 136,713,864 → 276,882,936 → 478,253,064 → 727,967,256 → 1,091,950,944 → 2,586,781,344 → 5,312,154,624 → 10,869,429,504 — keeps growing

Continued fraction of √n

√1,053,072 = [1026; (5, 5, 2, 16, 1, 1, 43, 6, 1, 1, 6, 1, 4, 2, 28, 2, 4, 1, 6, 1, 1, 6, 43, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million fifty-three thousand seventy-two
Ordinal: 1053072nd
Binary: 100000001000110010000
Octal: 4010620
Hexadecimal: 0x101190
Base64: EBGQ
One's complement: 4,293,914,223 (32-bit)
Scientific notation: 1.053072 × 10⁶
As a duration: 1,053,072 s = 12 days, 4 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 1222111112200

quaternary (4) 10001012100

quinary (5) 232144242

senary (6) 34323200

septenary (7) 11644116

nonary (9) 1874480

undecimal (11) 65a209

duodecimal (12) 429500

tridecimal (13) 2ab427

tetradecimal (14) 1d5ab6

pentadecimal (15) 15c04c

As an angle

1,053,072° = 2,925 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零五萬三千零七十二
Chinese (financial): 壹佰零伍萬參仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٥٣٠٧٢ Devanagari १०५३०७२ Bengali ১০৫৩০৭২ Tamil ௧௦௫௩௦௭௨ Thai ๑๐๕๓๐๗๒ Tibetan ༡༠༥༣༠༧༢ Khmer ១០៥៣០៧២ Lao ໑໐໕໓໐໗໒ Burmese ၁၀၅၃၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053072, here are decompositions:

5 + 1053067 = 1053072
11 + 1053061 = 1053072
43 + 1053029 = 1053072
79 + 1052993 = 1053072
101 + 1052971 = 1053072
173 + 1052899 = 1053072
179 + 1052893 = 1053072
191 + 1052881 = 1053072

Showing the first eight; more decompositions exist.

Hex color

#101190

RGB(16, 17, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.17.144.

Address: 0.16.17.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.17.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 3072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

3072-05-01 (DMMYYYY (Euro, single-digit day))
3072-10-05 (MMDYYYY (US, single-digit day))
3072-05-10 (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 1,053,072 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 US1,053,072 on Google Patents ↗ Look up on USPTO ↗