Live analysis

1,004,140

1,004,140 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.).

1,004,140 (one million four thousand one hundred forty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,207. Its proper divisors sum to 1,104,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF526C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,128 1,004,129 1,004,130 1,004,131 1,004,132 1,004,133 1,004,134 1,004,135 1,004,136 1,004,137 1,004,138 1,004,139 1,004,140 1,004,141 1,004,142 1,004,143 1,004,144 1,004,145 1,004,146 1,004,147 1,004,148 1,004,149 1,004,150 1,004,151 1,004,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 414,001
Square (n²): 1,008,297,139,600
Cube (n³): 1,012,471,489,757,944,000
Divisor count: 12
σ(n) — sum of divisors: 2,108,736
φ(n) — Euler's totient: 401,648
Sum of prime factors: 50,216

Primality

Prime factorization: 2 ² × 5 × 50207

Nearest primes: 1,004,137 (−3) · 1,004,141 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50207 · 100414 · 200828 · 251035 · 502070 (half) · 1004140

Aliquot sum (sum of proper divisors): 1,104,596

Factor pairs (a × b = 1,004,140)

1 × 1004140

2 × 502070

4 × 251035

5 × 200828

10 × 100414

20 × 50207

First multiples

1,004,140 · 2,008,280 (double) · 3,012,420 · 4,016,560 · 5,020,700 · 6,024,840 · 7,028,980 · 8,033,120 · 9,037,260 · 10,041,400

Sums & aliquot sequence

As consecutive integers: 200,826 + 200,827 + 200,828 + 200,829 + 200,830 125,514 + 125,515 + … + 125,521 25,084 + 25,085 + … + 25,123

Aliquot sequence: 1,004,140 → 1,104,596 → 837,484 → 628,120 → 823,400 → 1,185,400 → 1,571,120 → 2,178,640 → 2,952,728 → 2,702,152 → 2,460,788 → 2,237,164 → 1,848,260 → 2,033,128 → 1,779,002 → 889,504 → 1,414,784 — unresolved within range

Continued fraction of √n

√1,004,140 = [1002; (14, 1, 2, 1, 3, 1, 1, 1, 5, 1, 2, 1, 1, 2, 1, 1, 6, 5, 3, 1, 1, 2, 1, 1, …)]

Representations

In words: one million four thousand one hundred forty
Ordinal: 1004140th
Binary: 11110101001001101100
Octal: 3651154
Hexadecimal: 0xF526C
Base64: D1Js
One's complement: 4,293,963,155 (32-bit)
Scientific notation: 1.00414 × 10⁶
As a duration: 1,004,140 s = 11 days, 14 hours, 55 minutes, 40 seconds

In other bases

ternary (3) 1220000102101

quaternary (4) 3311021230

quinary (5) 224113030

senary (6) 33304444

septenary (7) 11351344

nonary (9) 1800371

undecimal (11) 626475

duodecimal (12) 405124

tridecimal (13) 292087

tetradecimal (14) 1c1d24

pentadecimal (15) 14c7ca

As an angle

1,004,140° = 2,789 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬四千一百四十
Chinese (financial): 壹佰萬肆仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٤١٤٠ Devanagari १००४१४० Bengali ১০০৪১৪০ Tamil ௧௦௦௪௧௪௦ Thai ๑๐๐๔๑๔๐ Tibetan ༡༠༠༤༡༤༠ Khmer ១០០៤១៤០ Lao ໑໐໐໔໑໔໐ Burmese ၁၀၀၄၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004140, here are decompositions:

3 + 1004137 = 1004140
23 + 1004117 = 1004140
83 + 1004057 = 1004140
107 + 1004033 = 1004140
113 + 1004027 = 1004140
197 + 1003943 = 1004140
227 + 1003913 = 1004140
233 + 1003907 = 1004140

Showing the first eight; more decompositions exist.

Hex color

#0F526C

RGB(15, 82, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.108.

Address: 0.15.82.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.108

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 1,004,140 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 US1,004,140 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1004140 first appears in π at position 135,475 of the decimal expansion (the 135,475ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1004140 on Pi Search ↗