Live analysis

1,001,316

1,001,316 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.).

1,001,316 (one million one thousand three hundred sixteen) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,443. Its proper divisors sum to 1,335,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4764.

Abundant Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,304 1,001,305 1,001,306 1,001,307 1,001,308 1,001,309 1,001,310 1,001,311 1,001,312 1,001,313 1,001,314 1,001,315 1,001,316 1,001,317 1,001,318 1,001,319 1,001,320 1,001,321 1,001,322 1,001,323 1,001,324 1,001,325 1,001,326 1,001,327 1,001,328

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,131,001
Square (n²): 1,002,633,731,856
Cube (n³): 1,003,953,197,847,122,496
Divisor count: 12
σ(n) — sum of divisors: 2,336,432
φ(n) — Euler's totient: 333,768
Sum of prime factors: 83,450

Primality

Prime factorization: 2 ² × 3 × 83443

Nearest primes: 1,001,311 (−5) · 1,001,321 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83443 · 166886 · 250329 · 333772 · 500658 (half) · 1001316

Aliquot sum (sum of proper divisors): 1,335,116

Factor pairs (a × b = 1,001,316)

1 × 1001316

2 × 500658

3 × 333772

4 × 250329

6 × 166886

12 × 83443

First multiples

1,001,316 · 2,002,632 (double) · 3,003,948 · 4,005,264 · 5,006,580 · 6,007,896 · 7,009,212 · 8,010,528 · 9,011,844 · 10,013,160

Sums & aliquot sequence

As consecutive integers: 333,771 + 333,772 + 333,773 125,161 + 125,162 + … + 125,168 41,710 + 41,711 + … + 41,733

Aliquot sequence: 1,001,316 → 1,335,116 → 1,001,344 → 993,776 → 1,327,504 → 1,334,156 → 1,000,624 → 938,116 → 703,594 → 351,800 → 466,600 → 618,710 → 494,986 → 267,674 → 190,246 → 141,530 → 113,242 — unresolved within range

Continued fraction of √n

√1,001,316 = [1000; (1, 1, 1, 11, 1, 5, 3, 5, 3, 2, 3, 1, 28, 1, 1, 1, 10, 1, 1, 13, 1, 2, 23, 2, …)]

Representations

In words: one million one thousand three hundred sixteen
Ordinal: 1001316th
Binary: 11110100011101100100
Octal: 3643544
Hexadecimal: 0xF4764
Base64: D0dk
One's complement: 4,293,965,979 (32-bit)
Scientific notation: 1.001316 × 10⁶
As a duration: 1,001,316 s = 11 days, 14 hours, 8 minutes, 36 seconds

In other bases

ternary (3) 1212212112210

quaternary (4) 3310131210

quinary (5) 224020231

senary (6) 33243420

septenary (7) 11340201

nonary (9) 1785483

undecimal (11) 624338

duodecimal (12) 403570

tridecimal (13) 2909c4

tetradecimal (14) 1c0ca8

pentadecimal (15) 14ba46

As an angle

1,001,316° = 2,781 × 360° + 156°

156° ≈ 2.723 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百一十六
Chinese (financial): 壹佰萬壹仟參佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠١٣١٦ Devanagari १००१३१६ Bengali ১০০১৩১৬ Tamil ௧௦௦௧௩௧௬ Thai ๑๐๐๑๓๑๖ Tibetan ༡༠༠༡༣༡༦ Khmer ១០០១៣១៦ Lao ໑໐໐໑໓໑໖ Burmese ၁၀၀၁၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001316, here are decompositions:

5 + 1001311 = 1001316
13 + 1001303 = 1001316
37 + 1001279 = 1001316
79 + 1001237 = 1001316
97 + 1001219 = 1001316
139 + 1001177 = 1001316
157 + 1001159 = 1001316
163 + 1001153 = 1001316

Showing the first eight; more decompositions exist.

Hex color

#0F4764

RGB(15, 71, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.100.

Address: 0.15.71.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.100

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 1,001,316 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 US1,001,316 on Google Patents ↗ Look up on USPTO ↗