Live analysis

1,001,368

1,001,368 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.).

1,001,368 (one million one thousand three hundred sixty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 37 × 199. Its proper divisors sum to 1,050,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4798.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,356 1,001,357 1,001,358 1,001,359 1,001,360 1,001,361 1,001,362 1,001,363 1,001,364 1,001,365 1,001,366 1,001,367 1,001,368 1,001,369 1,001,370 1,001,371 1,001,372 1,001,373 1,001,374 1,001,375 1,001,376 1,001,377 1,001,378 1,001,379 1,001,380

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,631,001
Square (n²): 1,002,737,871,424
Cube (n³): 1,004,109,616,832,108,032
Divisor count: 32
σ(n) — sum of divisors: 2,052,000
φ(n) — Euler's totient: 456,192
Sum of prime factors: 259

Primality

Prime factorization: 2 ³ × 17 × 37 × 199

Nearest primes: 1,001,353 (−15) · 1,001,369 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 17 · 34 · 37 · 68 · 74 · 136 · 148 · 199 · 296 · 398 · 629 · 796 · 1258 · 1592 · 2516 · 3383 · 5032 · 6766 · 7363 · 13532 · 14726 · 27064 · 29452 · 58904 · 125171 · 250342 · 500684 (half) · 1001368

Aliquot sum (sum of proper divisors): 1,050,632

Factor pairs (a × b = 1,001,368)

1 × 1001368

2 × 500684

4 × 250342

8 × 125171

17 × 58904

34 × 29452

37 × 27064

68 × 14726

74 × 13532

136 × 7363

148 × 6766

199 × 5032

296 × 3383

398 × 2516

629 × 1592

796 × 1258

First multiples

1,001,368 · 2,002,736 (double) · 3,004,104 · 4,005,472 · 5,006,840 · 6,008,208 · 7,009,576 · 8,010,944 · 9,012,312 · 10,013,680

Sums & aliquot sequence

As consecutive integers: 62,578 + 62,579 + … + 62,593 58,896 + 58,897 + … + 58,912 27,046 + 27,047 + … + 27,082 4,933 + 4,934 + … + 5,131

Aliquot sequence: 1,001,368 → 1,050,632 → 1,098,568 → 961,262 → 543,394 → 280,394 → 140,200 → 186,230 → 179,674 → 114,374 → 76,138 → 38,072 → 33,328 → 31,276 → 31,332 → 52,444 → 52,500 — unresolved within range

Continued fraction of √n

√1,001,368 = [1000; (1, 2, 6, 6, 13, 222, 3, 2, 1, 4, 1, 5, 2, 2, 3, 1, 1, 24, 6, 1, 13, 1, 6, 24, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred sixty-eight
Ordinal: 1001368th
Binary: 11110100011110011000
Octal: 3643630
Hexadecimal: 0xF4798
Base64: D0eY
One's complement: 4,293,965,927 (32-bit)
Scientific notation: 1.001368 × 10⁶
As a duration: 1,001,368 s = 11 days, 14 hours, 9 minutes, 28 seconds

In other bases

ternary (3) 1212212121201

quaternary (4) 3310132120

quinary (5) 224020433

senary (6) 33243544

septenary (7) 11340304

nonary (9) 1785551

undecimal (11) 624385

duodecimal (12) 4035b4

tridecimal (13) 290a34

tetradecimal (14) 1c0d04

pentadecimal (15) 14ba7d

As an angle

1,001,368° = 2,781 × 360° + 208°

208° ≈ 3.63 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百六十八
Chinese (financial): 壹佰萬壹仟參佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠١٣٦٨ Devanagari १००१३६८ Bengali ১০০১৩৬৮ Tamil ௧௦௦௧௩௬௮ Thai ๑๐๐๑๓๖๘ Tibetan ༡༠༠༡༣༦༨ Khmer ១០០១៣៦៨ Lao ໑໐໐໑໓໖໘ Burmese ၁၀၀၁၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001368, here are decompositions:

41 + 1001327 = 1001368
47 + 1001321 = 1001368
89 + 1001279 = 1001368
101 + 1001267 = 1001368
131 + 1001237 = 1001368
149 + 1001219 = 1001368
191 + 1001177 = 1001368
281 + 1001087 = 1001368

Showing the first eight; more decompositions exist.

Hex color

#0F4798

RGB(15, 71, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.152.

Address: 0.15.71.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.152

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 1,001,368 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 US1,001,368 on Google Patents ↗ Look up on USPTO ↗