Live analysis

1,001,320

1,001,320 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.).

1,001,320 (one million one thousand three hundred twenty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,033. Its proper divisors sum to 1,251,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4768.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,308 1,001,309 1,001,310 1,001,311 1,001,312 1,001,313 1,001,314 1,001,315 1,001,316 1,001,317 1,001,318 1,001,319 1,001,320 1,001,321 1,001,322 1,001,323 1,001,324 1,001,325 1,001,326 1,001,327 1,001,328 1,001,329 1,001,330 1,001,331 1,001,332

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Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 231,001
Square (n²): 1,002,641,742,400
Cube (n³): 1,003,965,229,499,968,000
Divisor count: 16
σ(n) — sum of divisors: 2,253,060
φ(n) — Euler's totient: 400,512
Sum of prime factors: 25,044

Primality

Prime factorization: 2 ³ × 5 × 25033

Nearest primes: 1,001,311 (−9) · 1,001,321 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25033 · 50066 · 100132 · 125165 · 200264 · 250330 · 500660 (half) · 1001320

Aliquot sum (sum of proper divisors): 1,251,740

Factor pairs (a × b = 1,001,320)

1 × 1001320

2 × 500660

4 × 250330

5 × 200264

8 × 125165

10 × 100132

20 × 50066

40 × 25033

First multiples

1,001,320 · 2,002,640 (double) · 3,003,960 · 4,005,280 · 5,006,600 · 6,007,920 · 7,009,240 · 8,010,560 · 9,011,880 · 10,013,200

Sums & aliquot sequence

As a sum of two squares: 302² + 954² = 582² + 814²

As consecutive integers: 200,262 + 200,263 + 200,264 + 200,265 + 200,266 62,575 + 62,576 + … + 62,590 12,477 + 12,478 + … + 12,556

Aliquot sequence: 1,001,320 → 1,251,740 → 1,752,772 → 1,815,548 → 1,966,972 → 1,967,028 → 3,278,604 → 5,849,844 → 12,514,572 → 24,360,084 → 46,014,220 → 65,527,028 → 65,527,084 → 65,527,140 → 146,636,700 → 338,248,932 → 616,810,908 — unresolved within range

Continued fraction of √n

√1,001,320 = [1000; (1, 1, 1, 15, 2, 8, 1, 3, 1, 1, 3, 2, 17, 1, 1, 2, 4, 3, 9, 1, 2, 1, 20, 3, …)]

Representations

In words: one million one thousand three hundred twenty
Ordinal: 1001320th
Binary: 11110100011101101000
Octal: 3643550
Hexadecimal: 0xF4768
Base64: D0do
One's complement: 4,293,965,975 (32-bit)
Scientific notation: 1.00132 × 10⁶
As a duration: 1,001,320 s = 11 days, 14 hours, 8 minutes, 40 seconds

In other bases

ternary (3) 1212212112221

quaternary (4) 3310131220

quinary (5) 224020240

senary (6) 33243424

septenary (7) 11340205

nonary (9) 1785487

undecimal (11) 624341

duodecimal (12) 403574

tridecimal (13) 2909c8

tetradecimal (14) 1c0cac

pentadecimal (15) 14ba4a

As an angle

1,001,320° = 2,781 × 360° + 160°

160° ≈ 2.793 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬一千三百二十
Chinese (financial): 壹佰萬壹仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٣٢٠ Devanagari १००१३२० Bengali ১০০১৩২০ Tamil ௧௦௦௧௩௨௦ Thai ๑๐๐๑๓๒๐ Tibetan ༡༠༠༡༣༢༠ Khmer ១០០១៣២០ Lao ໑໐໐໑໓໒໐ Burmese ၁၀၀၁၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001320, here are decompositions:

17 + 1001303 = 1001320
29 + 1001291 = 1001320
41 + 1001279 = 1001320
53 + 1001267 = 1001320
83 + 1001237 = 1001320
101 + 1001219 = 1001320
167 + 1001153 = 1001320
197 + 1001123 = 1001320

Showing the first eight; more decompositions exist.

Hex color

#0F4768

RGB(15, 71, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.104.

Address: 0.15.71.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.104

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

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 1,001,320 and was likely granted around 1911.

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

Look up US1,001,320 on Google Patents ↗ Look up on USPTO ↗