Live analysis

1,013,046

1,013,046 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.).

1,013,046 (one million thirteen thousand forty-six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 109 × 1,549. Its proper divisors sum to 1,032,954, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7536.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,034 1,013,035 1,013,036 1,013,037 1,013,038 1,013,039 1,013,040 1,013,041 1,013,042 1,013,043 1,013,044 1,013,045 1,013,046 1,013,047 1,013,048 1,013,049 1,013,050 1,013,051 1,013,052 1,013,053 1,013,054 1,013,055 1,013,056 1,013,057 1,013,058

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,403,101
Square (n²): 1,026,262,198,116
Cube (n³): 1,039,650,814,752,621,336
Divisor count: 16
σ(n) — sum of divisors: 2,046,000
φ(n) — Euler's totient: 334,368
Sum of prime factors: 1,663

Primality

Prime factorization: 2 × 3 × 109 × 1549

Nearest primes: 1,013,041 (−5) · 1,013,053 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 109 · 218 · 327 · 654 · 1549 · 3098 · 4647 · 9294 · 168841 · 337682 · 506523 (half) · 1013046

Aliquot sum (sum of proper divisors): 1,032,954

Factor pairs (a × b = 1,013,046)

1 × 1013046

2 × 506523

3 × 337682

6 × 168841

109 × 9294

218 × 4647

327 × 3098

654 × 1549

First multiples

1,013,046 · 2,026,092 (double) · 3,039,138 · 4,052,184 · 5,065,230 · 6,078,276 · 7,091,322 · 8,104,368 · 9,117,414 · 10,130,460

Sums & aliquot sequence

As consecutive integers: 337,681 + 337,682 + 337,683 253,260 + 253,261 + 253,262 + 253,263 84,415 + 84,416 + … + 84,426 9,240 + 9,241 + … + 9,348

Aliquot sequence: 1,013,046 → 1,032,954 → 1,507,206 → 1,507,218 → 1,507,230 → 2,411,802 → 3,045,798 → 4,831,578 → 5,783,130 → 9,639,270 → 17,432,730 → 36,986,310 → 65,449,530 → 108,879,534 → 128,728,746 → 163,752,534 → 246,075,066 — unresolved within range

Continued fraction of √n

√1,013,046 = [1006; (1, 1, 133, 1, 2, 2, 1, 79, 1, 4, 1, 1, 3, 1, 4, 1, 1, 2, 2, 1, 14, 3, 6, 1, …)]

Representations

In words: one million thirteen thousand forty-six
Ordinal: 1013046th
Binary: 11110111010100110110
Octal: 3672466
Hexadecimal: 0xF7536
Base64: D3U2
One's complement: 4,293,954,249 (32-bit)
Scientific notation: 1.013046 × 10⁶
As a duration: 1,013,046 s = 11 days, 17 hours, 24 minutes, 6 seconds

In other bases

ternary (3) 1220110122020

quaternary (4) 3313110312

quinary (5) 224404141

senary (6) 33414010

septenary (7) 11416326

nonary (9) 1813566

undecimal (11) 632131

duodecimal (12) 40a306

tridecimal (13) 296148

tetradecimal (14) 1c5286

pentadecimal (15) 150266

As an angle

1,013,046° = 2,814 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零四十六
Chinese (financial): 壹佰零壹萬參仟零肆拾陸

In other modern scripts

Eastern Arabic ١٠١٣٠٤٦ Devanagari १०१३०४६ Bengali ১০১৩০৪৬ Tamil ௧௦௧௩௦௪௬ Thai ๑๐๑๓๐๔๖ Tibetan ༡༠༡༣༠༤༦ Khmer ១០១៣០៤៦ Lao ໑໐໑໓໐໔໖ Burmese ၁၀၁၃၀၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013046, here are decompositions:

5 + 1013041 = 1013046
17 + 1013029 = 1013046
37 + 1013009 = 1013046
43 + 1013003 = 1013046
53 + 1012993 = 1013046
79 + 1012967 = 1013046
127 + 1012919 = 1013046
257 + 1012789 = 1013046

Showing the first eight; more decompositions exist.

Hex color

#0F7536

RGB(15, 117, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.54.

Address: 0.15.117.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.54

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3046 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3046-10-01 (MMDYYYY (US, single-digit day))
3046-01-10 (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 1,013,046 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 US1,013,046 on Google Patents ↗ Look up on USPTO ↗