Live analysis

1,013,268

1,013,268 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.).

1,013,268 (one million thirteen thousand two hundred sixty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 4,967. Its proper divisors sum to 1,490,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7614.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 1,013,277 1,013,278 1,013,279 1,013,280

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,623,101
Square (n²): 1,026,712,039,824
Cube (n³): 1,040,334,455,168,384,832
Divisor count: 24
σ(n) — sum of divisors: 2,503,872
φ(n) — Euler's totient: 317,824
Sum of prime factors: 4,991

Primality

Prime factorization: 2 ² × 3 × 17 × 4967

Nearest primes: 1,013,267 (−1) · 1,013,279 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 4967 · 9934 · 14901 · 19868 · 29802 · 59604 · 84439 · 168878 · 253317 · 337756 · 506634 (half) · 1013268

Aliquot sum (sum of proper divisors): 1,490,604

Factor pairs (a × b = 1,013,268)

1 × 1013268

2 × 506634

3 × 337756

4 × 253317

6 × 168878

12 × 84439

17 × 59604

34 × 29802

51 × 19868

68 × 14901

102 × 9934

204 × 4967

First multiples

1,013,268 · 2,026,536 (double) · 3,039,804 · 4,053,072 · 5,066,340 · 6,079,608 · 7,092,876 · 8,106,144 · 9,119,412 · 10,132,680

Sums & aliquot sequence

As consecutive integers: 337,755 + 337,756 + 337,757 126,655 + 126,656 + … + 126,662 59,596 + 59,597 + … + 59,612 42,208 + 42,209 + … + 42,231

Aliquot sequence: 1,013,268 → 1,490,604 → 2,100,564 → 3,708,876 → 5,401,204 → 4,073,996 → 3,248,452 → 2,726,972 → 2,252,884 → 1,704,524 → 1,278,400 → 2,123,168 → 2,156,800 → 3,197,458 → 2,090,222 → 1,045,114 → 841,286 — unresolved within range

Continued fraction of √n

√1,013,268 = [1006; (1, 1, 1, 1, 2, 1, 2, 3, 1, 1, 2, 8, 1, 7, 1, 8, 1, 3, 1, 3, 1, 5, 1, 4, …)]

Representations

In words: one million thirteen thousand two hundred sixty-eight
Ordinal: 1013268th
Binary: 11110111011000010100
Octal: 3673024
Hexadecimal: 0xF7614
Base64: D3YU
One's complement: 4,293,954,027 (32-bit)
Scientific notation: 1.013268 × 10⁶
As a duration: 1,013,268 s = 11 days, 17 hours, 27 minutes, 48 seconds

In other bases

ternary (3) 1220110221110

quaternary (4) 3313120110

quinary (5) 224411033

senary (6) 33415020

septenary (7) 11420064

nonary (9) 1813843

undecimal (11) 632313

duodecimal (12) 40a470

tridecimal (13) 296289

tetradecimal (14) 1c53a4

pentadecimal (15) 150363

As an angle

1,013,268° = 2,814 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千二百六十八
Chinese (financial): 壹佰零壹萬參仟貳佰陸拾捌

In other modern scripts

Eastern Arabic ١٠١٣٢٦٨ Devanagari १०१३२६८ Bengali ১০১৩২৬৮ Tamil ௧௦௧௩௨௬௮ Thai ๑๐๑๓๒๖๘ Tibetan ༡༠༡༣༢༦༨ Khmer ១០១៣២៦៨ Lao ໑໐໑໓໒໖໘ Burmese ၁၀၁၃၂၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013268, here are decompositions:

5 + 1013263 = 1013268
19 + 1013249 = 1013268
29 + 1013239 = 1013268
31 + 1013237 = 1013268
41 + 1013227 = 1013268
71 + 1013197 = 1013268
227 + 1013041 = 1013268
239 + 1013029 = 1013268

Showing the first eight; more decompositions exist.

Hex color

#0F7614

RGB(15, 118, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.20.

Address: 0.15.118.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.20

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3268 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3268-10-01 (MMDYYYY (US, single-digit day))
3268-01-10 (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 1,013,268 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 US1,013,268 on Google Patents ↗ Look up on USPTO ↗