Live analysis

1,013,264

1,013,264 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.).

1,013,264 (one million thirteen thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 83 × 109. Its proper divisors sum to 1,278,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7610.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,252 1,013,253 1,013,254 1,013,255 1,013,256 1,013,257 1,013,258 1,013,259 1,013,260 1,013,261 1,013,262 1,013,263 1,013,264 1,013,265 1,013,266 1,013,267 1,013,268 1,013,269 1,013,270 1,013,271 1,013,272 1,013,273 1,013,274 1,013,275 1,013,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,623,101
Square (n²): 1,026,703,933,696
Cube (n³): 1,040,322,134,672,543,744
Divisor count: 40
σ(n) — sum of divisors: 2,291,520
φ(n) — Euler's totient: 425,088
Sum of prime factors: 207

Primality

Prime factorization: 2 ⁴ × 7 × 83 × 109

Nearest primes: 1,013,263 (−1) · 1,013,267 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 83 · 109 · 112 · 166 · 218 · 332 · 436 · 581 · 664 · 763 · 872 · 1162 · 1328 · 1526 · 1744 · 2324 · 3052 · 4648 · 6104 · 9047 · 9296 · 12208 · 18094 · 36188 · 63329 · 72376 · 126658 · 144752 · 253316 · 506632 (half) · 1013264

Aliquot sum (sum of proper divisors): 1,278,256

Factor pairs (a × b = 1,013,264)

1 × 1013264

2 × 506632

4 × 253316

7 × 144752

8 × 126658

14 × 72376

16 × 63329

28 × 36188

56 × 18094

83 × 12208

109 × 9296

112 × 9047

166 × 6104

218 × 4648

332 × 3052

436 × 2324

581 × 1744

664 × 1526

763 × 1328

872 × 1162

First multiples

1,013,264 · 2,026,528 (double) · 3,039,792 · 4,053,056 · 5,066,320 · 6,079,584 · 7,092,848 · 8,106,112 · 9,119,376 · 10,132,640

Sums & aliquot sequence

As consecutive integers: 144,749 + 144,750 + … + 144,755 31,649 + 31,650 + … + 31,680 12,167 + 12,168 + … + 12,249 9,242 + 9,243 + … + 9,350

Aliquot sequence: 1,013,264 → 1,278,256 → 1,605,488 → 1,505,176 → 1,317,044 → 1,016,140 → 1,258,916 → 952,972 → 809,012 → 641,584 → 601,516 → 451,144 → 394,766 → 197,386 → 156,278 → 78,142 → 40,658 — unresolved within range

Continued fraction of √n

√1,013,264 = [1006; (1, 1, 1, 1, 3, 2, 1, 16, 1, 1, 1, 17, 6, 2, 2, 1, 1, 79, 1, 16, 1, 79, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand two hundred sixty-four
Ordinal: 1013264th
Binary: 11110111011000010000
Octal: 3673020
Hexadecimal: 0xF7610
Base64: D3YQ
One's complement: 4,293,954,031 (32-bit)
Scientific notation: 1.013264 × 10⁶
As a duration: 1,013,264 s = 11 days, 17 hours, 27 minutes, 44 seconds

In other bases

ternary (3) 1220110221022

quaternary (4) 3313120100

quinary (5) 224411024

senary (6) 33415012

septenary (7) 11420060

nonary (9) 1813838

undecimal (11) 63230a

duodecimal (12) 40a468

tridecimal (13) 296285

tetradecimal (14) 1c53a0

pentadecimal (15) 15035e

As an angle

1,013,264° = 2,814 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千二百六十四
Chinese (financial): 壹佰零壹萬參仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٣٢٦٤ Devanagari १०१३२६४ Bengali ১০১৩২৬৪ Tamil ௧௦௧௩௨௬௪ Thai ๑๐๑๓๒๖๔ Tibetan ༡༠༡༣༢༦༤ Khmer ១០១៣២៦៤ Lao ໑໐໑໓໒໖໔ Burmese ၁၀၁၃၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013264, here are decompositions:

37 + 1013227 = 1013264
61 + 1013203 = 1013264
67 + 1013197 = 1013264
211 + 1013053 = 1013264
223 + 1013041 = 1013264
271 + 1012993 = 1013264
283 + 1012981 = 1013264
433 + 1012831 = 1013264

Showing the first eight; more decompositions exist.

Hex color

#0F7610

RGB(15, 118, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.16.

Address: 0.15.118.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3264 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3264-10-01 (MMDYYYY (US, single-digit day))
3264-01-10 (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 1,013,264 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 US1,013,264 on Google Patents ↗ Look up on USPTO ↗