Live analysis

1,001,364

1,001,364 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.).

1,001,364 (one million one thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7² × 13 × 131. Its proper divisors sum to 1,948,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4794.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,352 1,001,353 1,001,354 1,001,355 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,631,001
Square (n²): 1,002,729,860,496
Cube (n³): 1,004,097,584,025,716,544
Divisor count: 72
σ(n) — sum of divisors: 2,949,408
φ(n) — Euler's totient: 262,080
Sum of prime factors: 165

Primality

Prime factorization: 2 ² × 3 × 7 ² × 13 × 131

Nearest primes: 1,001,353 (−11) · 1,001,369 (+5)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 39 · 42 · 49 · 52 · 78 · 84 · 91 · 98 · 131 · 147 · 156 · 182 · 196 · 262 · 273 · 294 · 364 · 393 · 524 · 546 · 588 · 637 · 786 · 917 · 1092 · 1274 · 1572 · 1703 · 1834 · 1911 · 2548 · 2751 · 3406 · 3668 · 3822 · 5109 · 5502 · 6419 · 6812 · 7644 · 10218 · 11004 · 11921 · 12838 · 19257 · 20436 · 23842 · 25676 · 35763 · 38514 · 47684 · 71526 · 77028 · 83447 · 143052 · 166894 · 250341 · 333788 · 500682 (half) · 1001364

Aliquot sum (sum of proper divisors): 1,948,044

Factor pairs (a × b = 1,001,364)

1 × 1001364

2 × 500682

3 × 333788

4 × 250341

6 × 166894

7 × 143052

12 × 83447

13 × 77028

14 × 71526

21 × 47684

26 × 38514

28 × 35763

39 × 25676

42 × 23842

49 × 20436

52 × 19257

78 × 12838

84 × 11921

91 × 11004

98 × 10218

131 × 7644

147 × 6812

156 × 6419

182 × 5502

196 × 5109

262 × 3822

273 × 3668

294 × 3406

364 × 2751

393 × 2548

524 × 1911

546 × 1834

588 × 1703

637 × 1572

786 × 1274

917 × 1092

First multiples

1,001,364 · 2,002,728 (double) · 3,004,092 · 4,005,456 · 5,006,820 · 6,008,184 · 7,009,548 · 8,010,912 · 9,012,276 · 10,013,640

Sums & aliquot sequence

As consecutive integers: 333,787 + 333,788 + 333,789 143,049 + 143,050 + … + 143,055 125,167 + 125,168 + … + 125,174 77,022 + 77,023 + … + 77,034

Aliquot sequence: 1,001,364 → 1,948,044 → 3,341,100 → 8,269,268 → 8,343,916 → 8,642,312 → 11,020,408 → 12,889,352 → 15,551,368 → 17,773,112 → 21,970,888 → 21,494,072 → 18,807,328 → 19,416,032 → 19,013,968 → 17,923,152 → 31,941,712 — unresolved within range

Continued fraction of √n

√1,001,364 = [1000; (1, 2, 7, 40, 1, 2, 2, 2, 1, 2, 2, 40, 2, 2, 1, 2, 2, 2, 1, 40, 7, 2, 1, 2000)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred sixty-four
Ordinal: 1001364th
Binary: 11110100011110010100
Octal: 3643624
Hexadecimal: 0xF4794
Base64: D0eU
One's complement: 4,293,965,931 (32-bit)
Scientific notation: 1.001364 × 10⁶
As a duration: 1,001,364 s = 11 days, 14 hours, 9 minutes, 24 seconds

In other bases

ternary (3) 1212212121120

quaternary (4) 3310132110

quinary (5) 224020424

senary (6) 33243540

septenary (7) 11340300

nonary (9) 1785546

undecimal (11) 624381

duodecimal (12) 4035b0

tridecimal (13) 290a30

tetradecimal (14) 1c0d00

pentadecimal (15) 14ba79

As an angle

1,001,364° = 2,781 × 360° + 204°

204° ≈ 3.56 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百六十四
Chinese (financial): 壹佰萬壹仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠١٣٦٤ Devanagari १००१३६४ Bengali ১০০১৩৬৪ Tamil ௧௦௦௧௩௬௪ Thai ๑๐๐๑๓๖๔ Tibetan ༡༠༠༡༣༦༤ Khmer ១០០១៣៦៤ Lao ໑໐໐໑໓໖໔ Burmese ၁၀၀၁၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001364, here are decompositions:

11 + 1001353 = 1001364
17 + 1001347 = 1001364
37 + 1001327 = 1001364
41 + 1001323 = 1001364
43 + 1001321 = 1001364
53 + 1001311 = 1001364
61 + 1001303 = 1001364
73 + 1001291 = 1001364

Showing the first eight; more decompositions exist.

Hex color

#0F4794

RGB(15, 71, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.148.

Address: 0.15.71.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.148

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 1,001,364 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 US1,001,364 on Google Patents ↗ Look up on USPTO ↗