Live analysis

1,002,372

1,002,372 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.).

1,002,372 (one million two thousand three hundred seventy-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 11,933. Its proper divisors sum to 1,670,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B84.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,360 1,002,361 1,002,362 1,002,363 1,002,364 1,002,365 1,002,366 1,002,367 1,002,368 1,002,369 1,002,370 1,002,371 1,002,372 1,002,373 1,002,374 1,002,375 1,002,376 1,002,377 1,002,378 1,002,379 1,002,380 1,002,381 1,002,382 1,002,383 1,002,384

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,732,001
Square (n²): 1,004,749,626,384
Cube (n³): 1,007,132,892,497,782,848
Divisor count: 24
σ(n) — sum of divisors: 2,673,216
φ(n) — Euler's totient: 286,368
Sum of prime factors: 11,947

Primality

Prime factorization: 2 ² × 3 × 7 × 11933

Nearest primes: 1,002,361 (−11) · 1,002,377 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 11933 · 23866 · 35799 · 47732 · 71598 · 83531 · 143196 · 167062 · 250593 · 334124 · 501186 (half) · 1002372

Aliquot sum (sum of proper divisors): 1,670,844

Factor pairs (a × b = 1,002,372)

1 × 1002372

2 × 501186

3 × 334124

4 × 250593

6 × 167062

7 × 143196

12 × 83531

14 × 71598

21 × 47732

28 × 35799

42 × 23866

84 × 11933

First multiples

1,002,372 · 2,004,744 (double) · 3,007,116 · 4,009,488 · 5,011,860 · 6,014,232 · 7,016,604 · 8,018,976 · 9,021,348 · 10,023,720

Sums & aliquot sequence

As consecutive integers: 334,123 + 334,124 + 334,125 143,193 + 143,194 + … + 143,199 125,293 + 125,294 + … + 125,300 47,722 + 47,723 + … + 47,742

Aliquot sequence: 1,002,372 → 1,670,844 → 2,784,964 → 3,326,120 → 5,384,620 → 5,923,124 → 4,442,350 → 4,838,306 → 3,139,300 → 3,673,198 → 2,026,682 → 1,447,654 → 904,262 → 452,134 → 255,626 → 221,014 → 116,306 — unresolved within range

Continued fraction of √n

√1,002,372 = [1001; (5, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 3, 11, 1, 2, 2, 33, 1, 1, 21, 42, 1, 1, 3, …)]

Representations

In words: one million two thousand three hundred seventy-two
Ordinal: 1002372nd
Binary: 11110100101110000100
Octal: 3645604
Hexadecimal: 0xF4B84
Base64: D0uE
One's complement: 4,293,964,923 (32-bit)
Scientific notation: 1.002372 × 10⁶
As a duration: 1,002,372 s = 11 days, 14 hours, 26 minutes, 12 seconds

In other bases

ternary (3) 1212220222220

quaternary (4) 3310232010

quinary (5) 224033442

senary (6) 33252340

septenary (7) 11343240

nonary (9) 1786886

undecimal (11) 625108

duodecimal (12) 4040b0

tridecimal (13) 291327

tetradecimal (14) 1c1420

pentadecimal (15) 14beec

As an angle

1,002,372° = 2,784 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千三百七十二
Chinese (financial): 壹佰萬貳仟參佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٣٧٢ Devanagari १००२३७२ Bengali ১০০২৩৭২ Tamil ௧௦௦௨௩௭௨ Thai ๑๐๐๒๓๗๒ Tibetan ༡༠༠༢༣༧༢ Khmer ១០០២៣៧២ Lao ໑໐໐໒໓໗໒ Burmese ၁၀၀၂၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002372, here are decompositions:

11 + 1002361 = 1002372
13 + 1002359 = 1002372
23 + 1002349 = 1002372
29 + 1002343 = 1002372
31 + 1002341 = 1002372
73 + 1002299 = 1002372
83 + 1002289 = 1002372
109 + 1002263 = 1002372

Showing the first eight; more decompositions exist.

Hex color

#0F4B84

RGB(15, 75, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.132.

Address: 0.15.75.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.132

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 1,002,372 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 US1,002,372 on Google Patents ↗ Look up on USPTO ↗