Live analysis

1,007,364

1,007,364 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.).

1,007,364 (one million seven thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 127 × 661. Its proper divisors sum to 1,365,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5F04.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,352 1,007,353 1,007,354 1,007,355 1,007,356 1,007,357 1,007,358 1,007,359 1,007,360 1,007,361 1,007,362 1,007,363 1,007,364 1,007,365 1,007,366 1,007,367 1,007,368 1,007,369 1,007,370 1,007,371 1,007,372 1,007,373 1,007,374 1,007,375 1,007,376

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,637,001
Recamán's sequence: a(350,723) = 1,007,364
Square (n²): 1,014,782,228,496
Cube (n³): 1,022,255,084,826,644,544
Divisor count: 24
σ(n) — sum of divisors: 2,372,608
φ(n) — Euler's totient: 332,640
Sum of prime factors: 795

Primality

Prime factorization: 2 ² × 3 × 127 × 661

Nearest primes: 1,007,359 (−5) · 1,007,381 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 127 · 254 · 381 · 508 · 661 · 762 · 1322 · 1524 · 1983 · 2644 · 3966 · 7932 · 83947 · 167894 · 251841 · 335788 · 503682 (half) · 1007364

Aliquot sum (sum of proper divisors): 1,365,244

Factor pairs (a × b = 1,007,364)

1 × 1007364

2 × 503682

3 × 335788

4 × 251841

6 × 167894

12 × 83947

127 × 7932

254 × 3966

381 × 2644

508 × 1983

661 × 1524

762 × 1322

First multiples

1,007,364 · 2,014,728 (double) · 3,022,092 · 4,029,456 · 5,036,820 · 6,044,184 · 7,051,548 · 8,058,912 · 9,066,276 · 10,073,640

Sums & aliquot sequence

As consecutive integers: 335,787 + 335,788 + 335,789 125,917 + 125,918 + … + 125,924 41,962 + 41,963 + … + 41,985 7,869 + 7,870 + … + 7,995

Aliquot sequence: 1,007,364 → 1,365,244 → 1,023,940 → 1,126,376 → 985,594 → 543,866 → 300,154 → 150,080 → 264,448 → 263,926 → 162,458 → 89,722 → 46,394 → 23,200 → 35,390 → 28,330 → 22,682 — unresolved within range

Continued fraction of √n

√1,007,364 = [1003; (1, 2, 12, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 3, 1, 13, 13, 1, 1, 2, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand three hundred sixty-four
Ordinal: 1007364th
Binary: 11110101111100000100
Octal: 3657404
Hexadecimal: 0xF5F04
Base64: D18E
One's complement: 4,293,959,931 (32-bit)
Scientific notation: 1.007364 × 10⁶
As a duration: 1,007,364 s = 11 days, 15 hours, 49 minutes, 24 seconds

In other bases

ternary (3) 1220011211210

quaternary (4) 3311330010

quinary (5) 224213424

senary (6) 33331420

septenary (7) 11363631

nonary (9) 1804753

undecimal (11) 628936

duodecimal (12) 406b70

tridecimal (13) 293697

tetradecimal (14) 1c3188

pentadecimal (15) 14d729

As an angle

1,007,364° = 2,798 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬七千三百六十四
Chinese (financial): 壹佰萬柒仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٧٣٦٤ Devanagari १००७३६४ Bengali ১০০৭৩৬৪ Tamil ௧௦௦௭௩௬௪ Thai ๑๐๐๗๓๖๔ Tibetan ༡༠༠༧༣༦༤ Khmer ១០០៧៣៦៤ Lao ໑໐໐໗໓໖໔ Burmese ၁၀၀၇၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007364, here are decompositions:

5 + 1007359 = 1007364
11 + 1007353 = 1007364
47 + 1007317 = 1007364
67 + 1007297 = 1007364
191 + 1007173 = 1007364
227 + 1007137 = 1007364
283 + 1007081 = 1007364
317 + 1007047 = 1007364

Showing the first eight; more decompositions exist.

Hex color

#0F5F04

RGB(15, 95, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.4.

Address: 0.15.95.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.95.4

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 1,007,364 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 US1,007,364 on Google Patents ↗ Look up on USPTO ↗