Live analysis

1,001,224

1,001,224 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.).

1,001,224 (one million one thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 19 × 941. Its proper divisors sum to 1,259,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4708.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,212 1,001,213 1,001,214 1,001,215 1,001,216 1,001,217 1,001,218 1,001,219 1,001,220 1,001,221 1,001,222 1,001,223 1,001,224 1,001,225 1,001,226 1,001,227 1,001,228 1,001,229 1,001,230 1,001,231 1,001,232 1,001,233 1,001,234 1,001,235 1,001,236

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,221,001
Square (n²): 1,002,449,498,176
Cube (n³): 1,003,676,496,361,767,424
Divisor count: 32
σ(n) — sum of divisors: 2,260,800
φ(n) — Euler's totient: 406,080
Sum of prime factors: 973

Primality

Prime factorization: 2 ³ × 7 × 19 × 941

Nearest primes: 1,001,219 (−5) · 1,001,237 (+13)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 19 · 28 · 38 · 56 · 76 · 133 · 152 · 266 · 532 · 941 · 1064 · 1882 · 3764 · 6587 · 7528 · 13174 · 17879 · 26348 · 35758 · 52696 · 71516 · 125153 · 143032 · 250306 · 500612 (half) · 1001224

Aliquot sum (sum of proper divisors): 1,259,576

Factor pairs (a × b = 1,001,224)

1 × 1001224

2 × 500612

4 × 250306

7 × 143032

8 × 125153

14 × 71516

19 × 52696

28 × 35758

38 × 26348

56 × 17879

76 × 13174

133 × 7528

152 × 6587

266 × 3764

532 × 1882

941 × 1064

First multiples

1,001,224 · 2,002,448 (double) · 3,003,672 · 4,004,896 · 5,006,120 · 6,007,344 · 7,008,568 · 8,009,792 · 9,011,016 · 10,012,240

Sums & aliquot sequence

As consecutive integers: 143,029 + 143,030 + … + 143,035 62,569 + 62,570 + … + 62,584 52,687 + 52,688 + … + 52,705 8,884 + 8,885 + … + 8,995

Aliquot sequence: 1,001,224 → 1,259,576 → 1,133,224 → 991,586 → 516,958 → 334,802 → 216,238 → 137,642 → 68,824 → 78,776 → 73,024 → 93,600 → 261,846 → 366,474 → 374,838 → 374,850 → 865,584 — unresolved within range

Continued fraction of √n

√1,001,224 = [1000; (1, 1, 1, 1, 2, 1, 3, 1, 2, 11, 2, 14, 7, 1, 3, 1, 1, 10, 1, 2, 1, 79, 3, 3, …)]

Representations

In words: one million one thousand two hundred twenty-four
Ordinal: 1001224th
Binary: 11110100011100001000
Octal: 3643410
Hexadecimal: 0xF4708
Base64: D0cI
One's complement: 4,293,966,071 (32-bit)
Scientific notation: 1.001224 × 10⁶
As a duration: 1,001,224 s = 11 days, 14 hours, 7 minutes, 4 seconds

In other bases

ternary (3) 1212212102101

quaternary (4) 3310130020

quinary (5) 224014344

senary (6) 33243144

septenary (7) 11340010

nonary (9) 1785371

undecimal (11) 624264

duodecimal (12) 4034b4

tridecimal (13) 290953

tetradecimal (14) 1c0c40

pentadecimal (15) 14b9d4

As an angle

1,001,224° = 2,781 × 360° + 64°

64° ≈ 1.117 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千二百二十四
Chinese (financial): 壹佰萬壹仟貳佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠١٢٢٤ Devanagari १००१२२४ Bengali ১০০১২২৪ Tamil ௧௦௦௧௨௨௪ Thai ๑๐๐๑๒๒๔ Tibetan ༡༠༠༡༢༢༤ Khmer ១០០១២២៤ Lao ໑໐໐໑໒໒໔ Burmese ၁၀၀၁၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001224, here are decompositions:

5 + 1001219 = 1001224
47 + 1001177 = 1001224
71 + 1001153 = 1001224
101 + 1001123 = 1001224
131 + 1001093 = 1001224
137 + 1001087 = 1001224
197 + 1001027 = 1001224
251 + 1000973 = 1001224

Showing the first eight; more decompositions exist.

Hex color

#0F4708

RGB(15, 71, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.8.

Address: 0.15.71.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.8

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 1,001,224 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 US1,001,224 on Google Patents ↗ Look up on USPTO ↗