Live analysis

1,052,072

1,052,072 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.).

1,052,072 (one million fifty-two thousand seventy-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 18,787. Its proper divisors sum to 1,202,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100DA8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,052,060 1,052,061 1,052,062 1,052,063 1,052,064 1,052,065 1,052,066 1,052,067 1,052,068 1,052,069 1,052,070 1,052,071 1,052,072 1,052,073 1,052,074 1,052,075 1,052,076 1,052,077 1,052,078 1,052,079 1,052,080 1,052,081 1,052,082 1,052,083 1,052,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 21 bits
Reversed: 2,702,501
Square (n²): 1,106,855,493,184
Cube (n³): 1,164,491,672,425,077,248
Divisor count: 16
σ(n) — sum of divisors: 2,254,560
φ(n) — Euler's totient: 450,864
Sum of prime factors: 18,800

Primality

Prime factorization: 2 ³ × 7 × 18787

Nearest primes: 1,052,063 (−9) · 1,052,083 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 18787 · 37574 · 75148 · 131509 · 150296 · 263018 · 526036 (half) · 1052072

Aliquot sum (sum of proper divisors): 1,202,488

Factor pairs (a × b = 1,052,072)

1 × 1052072

2 × 526036

4 × 263018

7 × 150296

8 × 131509

14 × 75148

28 × 37574

56 × 18787

First multiples

1,052,072 · 2,104,144 (double) · 3,156,216 · 4,208,288 · 5,260,360 · 6,312,432 · 7,364,504 · 8,416,576 · 9,468,648 · 10,520,720

Sums & aliquot sequence

As consecutive integers: 150,293 + 150,294 + … + 150,299 65,747 + 65,748 + … + 65,762 9,338 + 9,339 + … + 9,449

Aliquot sequence: 1,052,072 → 1,202,488 → 1,411,112 → 1,234,738 → 617,372 → 691,012 → 841,148 → 994,756 → 994,812 → 1,865,220 → 4,104,828 → 8,966,412 → 22,404,564 → 48,615,840 → 163,138,248 → 390,522,132 → 935,008,620 — unresolved within range

Continued fraction of √n

√1,052,072 = [1025; (1, 2, 2, 1, 1, 12, 6, 1, 1, 14, 2, 3, 2, 1, 1, 6, 1, 2, 2, 5, 3, 1, 8, 2, …)]

Representations

In words: one million fifty-two thousand seventy-two
Ordinal: 1052072nd
Binary: 100000000110110101000
Octal: 4006650
Hexadecimal: 0x100DA8
Base64: EA2o
One's complement: 4,293,915,223 (32-bit)
Scientific notation: 1.052072 × 10⁶
As a duration: 1,052,072 s = 12 days, 4 hours, 14 minutes, 32 seconds

In other bases

ternary (3) 1222110011122

quaternary (4) 10000312220

quinary (5) 232131242

senary (6) 34314412

septenary (7) 11641160

nonary (9) 1873148

undecimal (11) 65948a

duodecimal (12) 428a08

tridecimal (13) 2aab38

tetradecimal (14) 1d55a0

pentadecimal (15) 15bad2

As an angle

1,052,072° = 2,922 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零五萬二千零七十二
Chinese (financial): 壹佰零伍萬貳仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٥٢٠٧٢ Devanagari १०५२०७२ Bengali ১০৫২০৭২ Tamil ௧௦௫௨௦௭௨ Thai ๑๐๕๒๐๗๒ Tibetan ༡༠༥༢༠༧༢ Khmer ១០៥២០៧២ Lao ໑໐໕໒໐໗໒ Burmese ၁၀၅၂၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052072, here are decompositions:

31 + 1052041 = 1052072
193 + 1051879 = 1052072
223 + 1051849 = 1052072
283 + 1051789 = 1052072
313 + 1051759 = 1052072
409 + 1051663 = 1052072
433 + 1051639 = 1052072
523 + 1051549 = 1052072

Showing the first eight; more decompositions exist.

Hex color

#100DA8

RGB(16, 13, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.168.

Address: 0.16.13.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.13.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 2072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2072-05-01 (DMMYYYY (Euro, single-digit day))
2072-10-05 (MMDYYYY (US, single-digit day))
2072-05-10 (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 1,052,072 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 US1,052,072 on Google Patents ↗ Look up on USPTO ↗