Live analysis

1,003,120

1,003,120 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.).

1,003,120 (one million three thousand one hundred twenty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,539. Its proper divisors sum to 1,329,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E70.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,108 1,003,109 1,003,110 1,003,111 1,003,112 1,003,113 1,003,114 1,003,115 1,003,116 1,003,117 1,003,118 1,003,119 1,003,120 1,003,121 1,003,122 1,003,123 1,003,124 1,003,125 1,003,126 1,003,127 1,003,128 1,003,129 1,003,130 1,003,131 1,003,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 213,001
Square (n²): 1,006,249,734,400
Cube (n³): 1,009,389,233,571,328,000
Divisor count: 20
σ(n) — sum of divisors: 2,332,440
φ(n) — Euler's totient: 401,216
Sum of prime factors: 12,552

Primality

Prime factorization: 2 ⁴ × 5 × 12539

Nearest primes: 1,003,111 (−9) · 1,003,133 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12539 · 25078 · 50156 · 62695 · 100312 · 125390 · 200624 · 250780 · 501560 (half) · 1003120

Aliquot sum (sum of proper divisors): 1,329,320

Factor pairs (a × b = 1,003,120)

1 × 1003120

2 × 501560

4 × 250780

5 × 200624

8 × 125390

10 × 100312

16 × 62695

20 × 50156

40 × 25078

80 × 12539

First multiples

1,003,120 · 2,006,240 (double) · 3,009,360 · 4,012,480 · 5,015,600 · 6,018,720 · 7,021,840 · 8,024,960 · 9,028,080 · 10,031,200

Sums & aliquot sequence

As consecutive integers: 200,622 + 200,623 + 200,624 + 200,625 + 200,626 31,332 + 31,333 + … + 31,363 6,190 + 6,191 + … + 6,349

Aliquot sequence: 1,003,120 → 1,329,320 → 1,694,680 → 2,412,920 → 3,062,680 → 4,130,120 → 5,287,480 → 7,970,600 → 12,251,320 → 15,670,280 → 19,587,940 → 21,958,292 → 18,372,460 → 21,455,636 → 18,068,044 → 15,733,724 → 11,800,300 — unresolved within range

Continued fraction of √n

√1,003,120 = [1001; (1, 1, 3, 1, 3, 22, 4, 7, 1, 3, 1, 14, 1, 2, 1, 2, 1, 13, 5, 1, 1, 1, 2, 1, …)]

Representations

In words: one million three thousand one hundred twenty
Ordinal: 1003120th
Binary: 11110100111001110000
Octal: 3647160
Hexadecimal: 0xF4E70
Base64: D05w
One's complement: 4,293,964,175 (32-bit)
Scientific notation: 1.00312 × 10⁶
As a duration: 1,003,120 s = 11 days, 14 hours, 38 minutes, 40 seconds

In other bases

ternary (3) 1212222000121

quaternary (4) 3310321300

quinary (5) 224044440

senary (6) 33300024

septenary (7) 11345356

nonary (9) 1788017

undecimal (11) 625728

duodecimal (12) 404614

tridecimal (13) 291781

tetradecimal (14) 1c17d6

pentadecimal (15) 14c34a

As an angle

1,003,120° = 2,786 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百萬三千一百二十
Chinese (financial): 壹佰萬參仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٣١٢٠ Devanagari १००३१२० Bengali ১০০৩১২০ Tamil ௧௦௦௩௧௨௦ Thai ๑๐๐๓๑๒๐ Tibetan ༡༠༠༣༡༢༠ Khmer ១០០៣១២០ Lao ໑໐໐໓໑໒໐ Burmese ၁၀၀၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003120, here are decompositions:

11 + 1003109 = 1003120
17 + 1003103 = 1003120
23 + 1003097 = 1003120
29 + 1003091 = 1003120
71 + 1003049 = 1003120
101 + 1003019 = 1003120
191 + 1002929 = 1003120
227 + 1002893 = 1003120

Showing the first eight; more decompositions exist.

Hex color

#0F4E70

RGB(15, 78, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.112.

Address: 0.15.78.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.112

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 1,003,120 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 US1,003,120 on Google Patents ↗ Look up on USPTO ↗