Live analysis

1,004,120

1,004,120 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.).

1,004,120 (one million four thousand one hundred twenty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 1,931. Its proper divisors sum to 1,430,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5258.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,108 1,004,109 1,004,110 1,004,111 1,004,112 1,004,113 1,004,114 1,004,115 1,004,116 1,004,117 1,004,118 1,004,119 1,004,120 1,004,121 1,004,122 1,004,123 1,004,124 1,004,125 1,004,126 1,004,127 1,004,128 1,004,129 1,004,130 1,004,131 1,004,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 214,001
Square (n²): 1,008,256,974,400
Cube (n³): 1,012,410,993,134,528,000
Divisor count: 32
σ(n) — sum of divisors: 2,434,320
φ(n) — Euler's totient: 370,560
Sum of prime factors: 1,955

Primality

Prime factorization: 2 ³ × 5 × 13 × 1931

Nearest primes: 1,004,119 (−1) · 1,004,137 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 260 · 520 · 1931 · 3862 · 7724 · 9655 · 15448 · 19310 · 25103 · 38620 · 50206 · 77240 · 100412 · 125515 · 200824 · 251030 · 502060 (half) · 1004120

Aliquot sum (sum of proper divisors): 1,430,200

Factor pairs (a × b = 1,004,120)

1 × 1004120

2 × 502060

4 × 251030

5 × 200824

8 × 125515

10 × 100412

13 × 77240

20 × 50206

26 × 38620

40 × 25103

52 × 19310

65 × 15448

104 × 9655

130 × 7724

260 × 3862

520 × 1931

First multiples

1,004,120 · 2,008,240 (double) · 3,012,360 · 4,016,480 · 5,020,600 · 6,024,720 · 7,028,840 · 8,032,960 · 9,037,080 · 10,041,200

Sums & aliquot sequence

As consecutive integers: 200,822 + 200,823 + 200,824 + 200,825 + 200,826 77,234 + 77,235 + … + 77,246 62,750 + 62,751 + … + 62,765 15,416 + 15,417 + … + 15,480

Aliquot sequence: 1,004,120 → 1,430,200 → 1,895,480 → 2,369,440 → 3,345,920 → 4,682,584 → 4,132,736 → 4,221,064 → 3,693,446 → 1,862,698 → 937,562 → 468,784 → 453,032 → 396,418 → 271,166 → 202,162 → 101,084 — unresolved within range

Continued fraction of √n

√1,004,120 = [1002; (17, 3, 1, 1, 1, 1, 1, 1, 1, 3, 4, 1, 5, 1, 1, 1, 2, 1, 2, 3, 2, 2, 1, 2, …)]

Representations

In words: one million four thousand one hundred twenty
Ordinal: 1004120th
Binary: 11110101001001011000
Octal: 3651130
Hexadecimal: 0xF5258
Base64: D1JY
One's complement: 4,293,963,175 (32-bit)
Scientific notation: 1.00412 × 10⁶
As a duration: 1,004,120 s = 11 days, 14 hours, 55 minutes, 20 seconds

In other bases

ternary (3) 1220000101122

quaternary (4) 3311021120

quinary (5) 224112440

senary (6) 33304412

septenary (7) 11351315

nonary (9) 1800348

undecimal (11) 626457

duodecimal (12) 405108

tridecimal (13) 292070

tetradecimal (14) 1c1d0c

pentadecimal (15) 14c7b5

As an angle

1,004,120° = 2,789 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百萬四千一百二十
Chinese (financial): 壹佰萬肆仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٤١٢٠ Devanagari १००४१२० Bengali ১০০৪১২০ Tamil ௧௦௦௪௧௨௦ Thai ๑๐๐๔๑๒๐ Tibetan ༡༠༠༤༡༢༠ Khmer ១០០៤១២០ Lao ໑໐໐໔໑໒໐ Burmese ၁၀၀၄၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004120, here are decompositions:

3 + 1004117 = 1004120
31 + 1004089 = 1004120
43 + 1004077 = 1004120
67 + 1004053 = 1004120
157 + 1003963 = 1004120
163 + 1003957 = 1004120
211 + 1003909 = 1004120
223 + 1003897 = 1004120

Showing the first eight; more decompositions exist.

Hex color

#0F5258

RGB(15, 82, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.88.

Address: 0.15.82.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.88

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 1,004,120 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 US1,004,120 on Google Patents ↗ Look up on USPTO ↗