Live analysis

1,001,300

1,001,300 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.).

1,001,300 (one million one thousand three hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 5² × 17 × 19 × 31. Its proper divisors sum to 1,498,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4754.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,288 1,001,289 1,001,290 1,001,291 1,001,292 1,001,293 1,001,294 1,001,295 1,001,296 1,001,297 1,001,298 1,001,299 1,001,300 1,001,301 1,001,302 1,001,303 1,001,304 1,001,305 1,001,306 1,001,307 1,001,308 1,001,309 1,001,310 1,001,311 1,001,312

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 31,001
Square (n²): 1,002,601,690,000
Cube (n³): 1,003,905,072,197,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,499,840
φ(n) — Euler's totient: 345,600
Sum of prime factors: 81

Primality

Prime factorization: 2 ² × 5 ² × 17 × 19 × 31

Nearest primes: 1,001,291 (−9) · 1,001,303 (+3)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 10 · 17 · 19 · 20 · 25 · 31 · 34 · 38 · 50 · 62 · 68 · 76 · 85 · 95 · 100 · 124 · 155 · 170 · 190 · 310 · 323 · 340 · 380 · 425 · 475 · 527 · 589 · 620 · 646 · 775 · 850 · 950 · 1054 · 1178 · 1292 · 1550 · 1615 · 1700 · 1900 · 2108 · 2356 · 2635 · 2945 · 3100 · 3230 · 5270 · 5890 · 6460 · 8075 · 10013 · 10540 · 11780 · 13175 · 14725 · 16150 · 20026 · 26350 · 29450 · 32300 · 40052 · 50065 · 52700 · 58900 · 100130 · 200260 · 250325 · 500650 (half) · 1001300

Aliquot sum (sum of proper divisors): 1,498,540

Factor pairs (a × b = 1,001,300)

1 × 1001300

2 × 500650

4 × 250325

5 × 200260

10 × 100130

17 × 58900

19 × 52700

20 × 50065

25 × 40052

31 × 32300

34 × 29450

38 × 26350

50 × 20026

62 × 16150

68 × 14725

76 × 13175

85 × 11780

95 × 10540

100 × 10013

124 × 8075

155 × 6460

170 × 5890

190 × 5270

310 × 3230

323 × 3100

340 × 2945

380 × 2635

425 × 2356

475 × 2108

527 × 1900

589 × 1700

620 × 1615

646 × 1550

775 × 1292

850 × 1178

950 × 1054

First multiples

1,001,300 · 2,002,600 (double) · 3,003,900 · 4,005,200 · 5,006,500 · 6,007,800 · 7,009,100 · 8,010,400 · 9,011,700 · 10,013,000

Sums & aliquot sequence

As consecutive integers: 200,258 + 200,259 + 200,260 + 200,261 + 200,262 125,159 + 125,160 + … + 125,166 58,892 + 58,893 + … + 58,908 52,691 + 52,692 + … + 52,709

Aliquot sequence: 1,001,300 → 1,498,540 → 1,751,252 → 1,528,108 → 1,172,772 → 1,868,028 → 2,747,604 → 3,729,804 → 5,642,916 → 7,523,916 → 10,331,124 → 13,774,860 → 33,426,756 → 63,903,708 → 116,837,412 → 155,783,244 → 221,460,756 — unresolved within range

Continued fraction of √n

√1,001,300 = [1000; (1, 1, 1, 5, 1, 10, 1, 124, 6, 26, 6, 124, 1, 10, 1, 5, 1, 1, 1, 2000)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred
Ordinal: 1001300th
Binary: 11110100011101010100
Octal: 3643524
Hexadecimal: 0xF4754
Base64: D0dU
One's complement: 4,293,965,995 (32-bit)
Scientific notation: 1.0013 × 10⁶
As a duration: 1,001,300 s = 11 days, 14 hours, 8 minutes, 20 seconds

In other bases

ternary (3) 1212212112012

quaternary (4) 3310131110

quinary (5) 224020200

senary (6) 33243352

septenary (7) 11340146

nonary (9) 1785465

undecimal (11) 624323

duodecimal (12) 403558

tridecimal (13) 2909b1

tetradecimal (14) 1c0c96

pentadecimal (15) 14ba35

As an angle

1,001,300° = 2,781 × 360° + 140°

140° ≈ 2.443 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢
Chinese: 一百萬一千三百
Chinese (financial): 壹佰萬壹仟參佰

In other modern scripts

Eastern Arabic ١٠٠١٣٠٠ Devanagari १००१३०० Bengali ১০০১৩০০ Tamil ௧௦௦௧௩௦௦ Thai ๑๐๐๑๓๐๐ Tibetan ༡༠༠༡༣༠༠ Khmer ១០០១៣០០ Lao ໑໐໐໑໓໐໐ Burmese ၁၀၀၁၃၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001300, here are decompositions:

103 + 1001197 = 1001300
109 + 1001191 = 1001300
127 + 1001173 = 1001300
193 + 1001107 = 1001300
211 + 1001089 = 1001300
277 + 1001023 = 1001300
283 + 1001017 = 1001300
331 + 1000969 = 1001300

Showing the first eight; more decompositions exist.

Hex color

#0F4754

RGB(15, 71, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.84.

Address: 0.15.71.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.84

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 1,001,300 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 US1,001,300 on Google Patents ↗ Look up on USPTO ↗