Live analysis

1,024,672

1,024,672 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.).

1,024,672 (one million twenty-four thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 41 × 71. Its proper divisors sum to 1,261,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA2A0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,024,660 1,024,661 1,024,662 1,024,663 1,024,664 1,024,665 1,024,666 1,024,667 1,024,668 1,024,669 1,024,670 1,024,671 1,024,672 1,024,673 1,024,674 1,024,675 1,024,676 1,024,677 1,024,678 1,024,679 1,024,680 1,024,681 1,024,682 1,024,683 1,024,684

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,764,201
Square (n²): 1,049,952,707,584
Cube (n³): 1,075,857,140,785,512,448
Divisor count: 48
σ(n) — sum of divisors: 2,286,144
φ(n) — Euler's totient: 448,000
Sum of prime factors: 133

Primality

Prime factorization: 2 ⁵ × 11 × 41 × 71

Nearest primes: 1,024,669 (−3) · 1,024,693 (+21)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 41 · 44 · 71 · 82 · 88 · 142 · 164 · 176 · 284 · 328 · 352 · 451 · 568 · 656 · 781 · 902 · 1136 · 1312 · 1562 · 1804 · 2272 · 2911 · 3124 · 3608 · 5822 · 6248 · 7216 · 11644 · 12496 · 14432 · 23288 · 24992 · 32021 · 46576 · 64042 · 93152 · 128084 · 256168 · 512336 (half) · 1024672

Aliquot sum (sum of proper divisors): 1,261,472

Factor pairs (a × b = 1,024,672)

1 × 1024672

2 × 512336

4 × 256168

8 × 128084

11 × 93152

16 × 64042

22 × 46576

32 × 32021

41 × 24992

44 × 23288

71 × 14432

82 × 12496

88 × 11644

142 × 7216

164 × 6248

176 × 5822

284 × 3608

328 × 3124

352 × 2911

451 × 2272

568 × 1804

656 × 1562

781 × 1312

902 × 1136

First multiples

1,024,672 · 2,049,344 (double) · 3,074,016 · 4,098,688 · 5,123,360 · 6,148,032 · 7,172,704 · 8,197,376 · 9,222,048 · 10,246,720

Sums & aliquot sequence

As consecutive integers: 93,147 + 93,148 + … + 93,157 24,972 + 24,973 + … + 25,012 15,979 + 15,980 + … + 16,042 14,397 + 14,398 + … + 14,467

Aliquot sequence: 1,024,672 → 1,261,472 → 1,258,528 → 1,260,464 → 1,181,716 → 886,294 → 443,150 → 381,202 → 215,534 → 144,322 → 72,164 → 54,130 → 43,322 → 21,664 → 21,050 → 18,196 → 13,654 — unresolved within range

Continued fraction of √n

√1,024,672 = [1012; (3, 1, 5, 56, 15, 1, 12, 24, 1, 11, 51, 1, 4, 1, 3, 1, 2, 3, 2, 2, 2, 1, 12, 3, …)]

Representations

In words: one million twenty-four thousand six hundred seventy-two
Ordinal: 1024672nd
Binary: 11111010001010100000
Octal: 3721240
Hexadecimal: 0xFA2A0
Base64: D6Kg
One's complement: 4,293,942,623 (32-bit)
Scientific notation: 1.024672 × 10⁶
As a duration: 1,024,672 s = 11 days, 20 hours, 37 minutes, 52 seconds

In other bases

ternary (3) 1221001120211

quaternary (4) 3322022200

quinary (5) 230242142

senary (6) 33543504

septenary (7) 11465245

nonary (9) 1831524

undecimal (11) 63a940

duodecimal (12) 414b94

tridecimal (13) 29b51c

tetradecimal (14) 1c95cc

pentadecimal (15) 153917

As an angle

1,024,672° = 2,846 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零二萬四千六百七十二
Chinese (financial): 壹佰零貳萬肆仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٢٤٦٧٢ Devanagari १०२४६७२ Bengali ১০২৪৬৭২ Tamil ௧௦௨௪௬௭௨ Thai ๑๐๒๔๖๗๒ Tibetan ༡༠༢༤༦༧༢ Khmer ១០២៤៦៧២ Lao ໑໐໒໔໖໗໒ Burmese ၁၀၂၄၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024672, here are decompositions:

3 + 1024669 = 1024672
83 + 1024589 = 1024672
113 + 1024559 = 1024672
149 + 1024523 = 1024672
191 + 1024481 = 1024672
239 + 1024433 = 1024672
251 + 1024421 = 1024672
281 + 1024391 = 1024672

Showing the first eight; more decompositions exist.

Hex color

#0FA2A0

RGB(15, 162, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.162.160.

Address: 0.15.162.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.162.160

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 4672 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4672-02-01 (DMMYYYY (Euro, single-digit day))
4672-10-02 (MMDYYYY (US, single-digit day))
4672-02-10 (DDMYYYY (Euro, single-digit month))

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 1,024,672 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,024,672 on Google Patents ↗ Look up on USPTO ↗