Live analysis

1,001,268

1,001,268 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.).

1,001,268 (one million one thousand two hundred sixty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 73 × 127. Its proper divisors sum to 1,650,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4734.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,256 1,001,257 1,001,258 1,001,259 1,001,260 1,001,261 1,001,262 1,001,263 1,001,264 1,001,265 1,001,266 1,001,267 1,001,268 1,001,269 1,001,270 1,001,271 1,001,272 1,001,273 1,001,274 1,001,275 1,001,276 1,001,277 1,001,278 1,001,279 1,001,280

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,621,001
Square (n²): 1,002,537,607,824
Cube (n³): 1,003,808,825,510,720,832
Divisor count: 48
σ(n) — sum of divisors: 2,652,160
φ(n) — Euler's totient: 326,592
Sum of prime factors: 213

Primality

Prime factorization: 2 ² × 3 ³ × 73 × 127

Nearest primes: 1,001,267 (−1) · 1,001,279 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 73 · 108 · 127 · 146 · 219 · 254 · 292 · 381 · 438 · 508 · 657 · 762 · 876 · 1143 · 1314 · 1524 · 1971 · 2286 · 2628 · 3429 · 3942 · 4572 · 6858 · 7884 · 9271 · 13716 · 18542 · 27813 · 37084 · 55626 · 83439 · 111252 · 166878 · 250317 · 333756 · 500634 (half) · 1001268

Aliquot sum (sum of proper divisors): 1,650,892

Factor pairs (a × b = 1,001,268)

1 × 1001268

2 × 500634

3 × 333756

4 × 250317

6 × 166878

9 × 111252

12 × 83439

18 × 55626

27 × 37084

36 × 27813

54 × 18542

73 × 13716

108 × 9271

127 × 7884

146 × 6858

219 × 4572

254 × 3942

292 × 3429

381 × 2628

438 × 2286

508 × 1971

657 × 1524

762 × 1314

876 × 1143

First multiples

1,001,268 · 2,002,536 (double) · 3,003,804 · 4,005,072 · 5,006,340 · 6,007,608 · 7,008,876 · 8,010,144 · 9,011,412 · 10,012,680

Sums & aliquot sequence

As consecutive integers: 333,755 + 333,756 + 333,757 125,155 + 125,156 + … + 125,162 111,248 + 111,249 + … + 111,256 41,708 + 41,709 + … + 41,731

Aliquot sequence: 1,001,268 → 1,650,892 → 1,279,364 → 1,102,036 → 974,976 → 1,615,824 → 3,667,506 → 3,726,798 → 3,726,810 → 6,623,046 → 8,217,846 → 14,583,114 → 25,777,206 → 42,966,378 → 78,429,078 → 130,719,498 → 201,474,294 — unresolved within range

Continued fraction of √n

√1,001,268 = [1000; (1, 1, 1, 2, 1, 2, 2, 53, 1, 1, 1, 124, 2, 2, 2, 2, 1, 26, 1, 2, 2, 2, 2, 124, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million one thousand two hundred sixty-eight
Ordinal: 1001268th
Binary: 11110100011100110100
Octal: 3643464
Hexadecimal: 0xF4734
Base64: D0c0
One's complement: 4,293,966,027 (32-bit)
Scientific notation: 1.001268 × 10⁶
As a duration: 1,001,268 s = 11 days, 14 hours, 7 minutes, 48 seconds

In other bases

ternary (3) 1212212111000

quaternary (4) 3310130310

quinary (5) 224020033

senary (6) 33243300

septenary (7) 11340102

nonary (9) 1785430

undecimal (11) 6242a4

duodecimal (12) 403530

tridecimal (13) 290988

tetradecimal (14) 1c0c72

pentadecimal (15) 14ba13

As an angle

1,001,268° = 2,781 × 360° + 108°

108° ≈ 1.885 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千二百六十八
Chinese (financial): 壹佰萬壹仟貳佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠١٢٦٨ Devanagari १००१२६८ Bengali ১০০১২৬৮ Tamil ௧௦௦௧௨௬௮ Thai ๑๐๐๑๒๖๘ Tibetan ༡༠༠༡༢༦༨ Khmer ១០០១២៦៨ Lao ໑໐໐໑໒໖໘ Burmese ၁၀၀၁၂၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001268, here are decompositions:

31 + 1001237 = 1001268
71 + 1001197 = 1001268
109 + 1001159 = 1001268
179 + 1001089 = 1001268
181 + 1001087 = 1001268
199 + 1001069 = 1001268
227 + 1001041 = 1001268
241 + 1001027 = 1001268

Showing the first eight; more decompositions exist.

Hex color

#0F4734

RGB(15, 71, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.52.

Address: 0.15.71.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.52

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 1,001,268 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 US1,001,268 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001268 first appears in π at position 140,974 of the decimal expansion (the 140,974ordinal-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 1001268 on Pi Search ↗