Live analysis

1,004,360

1,004,360 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.).

1,004,360 (one million four thousand three hundred sixty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 17 × 211. Its proper divisors sum to 1,743,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5348.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,348 1,004,349 1,004,350 1,004,351 1,004,352 1,004,353 1,004,354 1,004,355 1,004,356 1,004,357 1,004,358 1,004,359 1,004,360 1,004,361 1,004,362 1,004,363 1,004,364 1,004,365 1,004,366 1,004,367 1,004,368 1,004,369 1,004,370 1,004,371 1,004,372

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 634,001
Square (n²): 1,008,739,009,600
Cube (n³): 1,013,137,111,681,856,000
Divisor count: 64
σ(n) — sum of divisors: 2,747,520
φ(n) — Euler's totient: 322,560
Sum of prime factors: 246

Primality

Prime factorization: 2 ³ × 5 × 7 × 17 × 211

Nearest primes: 1,004,323 (−37) · 1,004,363 (+3)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 17 · 20 · 28 · 34 · 35 · 40 · 56 · 68 · 70 · 85 · 119 · 136 · 140 · 170 · 211 · 238 · 280 · 340 · 422 · 476 · 595 · 680 · 844 · 952 · 1055 · 1190 · 1477 · 1688 · 2110 · 2380 · 2954 · 3587 · 4220 · 4760 · 5908 · 7174 · 7385 · 8440 · 11816 · 14348 · 14770 · 17935 · 25109 · 28696 · 29540 · 35870 · 50218 · 59080 · 71740 · 100436 · 125545 · 143480 · 200872 · 251090 · 502180 (half) · 1004360

Aliquot sum (sum of proper divisors): 1,743,160

Factor pairs (a × b = 1,004,360)

1 × 1004360

2 × 502180

4 × 251090

5 × 200872

7 × 143480

8 × 125545

10 × 100436

14 × 71740

17 × 59080

20 × 50218

28 × 35870

34 × 29540

35 × 28696

40 × 25109

56 × 17935

68 × 14770

70 × 14348

85 × 11816

119 × 8440

136 × 7385

140 × 7174

170 × 5908

211 × 4760

238 × 4220

280 × 3587

340 × 2954

422 × 2380

476 × 2110

595 × 1688

680 × 1477

844 × 1190

952 × 1055

First multiples

1,004,360 · 2,008,720 (double) · 3,013,080 · 4,017,440 · 5,021,800 · 6,026,160 · 7,030,520 · 8,034,880 · 9,039,240 · 10,043,600

Sums & aliquot sequence

As consecutive integers: 200,870 + 200,871 + 200,872 + 200,873 + 200,874 143,477 + 143,478 + … + 143,483 62,765 + 62,766 + … + 62,780 59,072 + 59,073 + … + 59,088

Aliquot sequence: 1,004,360 → 1,743,160 → 2,179,040 → 2,969,320 → 4,065,080 → 5,081,440 → 9,736,160 → 16,554,496 → 22,728,704 → 24,451,456 → 24,260,684 → 26,348,476 → 33,233,396 → 35,391,244 → 35,391,300 → 87,934,140 → 232,582,980 — unresolved within range

Continued fraction of √n

√1,004,360 = [1002; (5, 1, 1, 1, 2, 2, 1, 15, 1, 6, 5, 5, 2, 1, 3, 1, 6, 1, 1, 1, 1, 3, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million four thousand three hundred sixty
Ordinal: 1004360th
Binary: 11110101001101001000
Octal: 3651510
Hexadecimal: 0xF5348
Base64: D1NI
One's complement: 4,293,962,935 (32-bit)
Scientific notation: 1.00436 × 10⁶
As a duration: 1,004,360 s = 11 days, 14 hours, 59 minutes, 20 seconds

In other bases

ternary (3) 1220000201112

quaternary (4) 3311031020

quinary (5) 224114420

senary (6) 33305452

septenary (7) 11352110

nonary (9) 1800645

undecimal (11) 626655

duodecimal (12) 405288

tridecimal (13) 2921c6

tetradecimal (14) 1c2040

pentadecimal (15) 14c8c5

As an angle

1,004,360° = 2,789 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千三百六十
Chinese (financial): 壹佰萬肆仟參佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٤٣٦٠ Devanagari १००४३६० Bengali ১০০৪৩৬০ Tamil ௧௦௦௪௩௬௦ Thai ๑๐๐๔๓๖๐ Tibetan ༡༠༠༤༣༦༠ Khmer ១០០៤៣៦០ Lao ໑໐໐໔໓໖໐ Burmese ၁၀၀၄၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004360, here are decompositions:

37 + 1004323 = 1004360
43 + 1004317 = 1004360
67 + 1004293 = 1004360
73 + 1004287 = 1004360
127 + 1004233 = 1004360
139 + 1004221 = 1004360
151 + 1004209 = 1004360
193 + 1004167 = 1004360

Showing the first eight; more decompositions exist.

Hex color

#0F5348

RGB(15, 83, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.72.

Address: 0.15.83.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.72

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 1,004,360 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 US1,004,360 on Google Patents ↗ Look up on USPTO ↗