Live analysis

1,010,048

1,010,048 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.).

1,010,048 (one million ten thousand forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 13 × 607. Its proper divisors sum to 1,160,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6980.

Abundant Number Arithmetic Number Happy Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,010,036 1,010,037 1,010,038 1,010,039 1,010,040 1,010,041 1,010,042 1,010,043 1,010,044 1,010,045 1,010,046 1,010,047 1,010,048 1,010,049 1,010,050 1,010,051 1,010,052 1,010,053 1,010,054 1,010,055 1,010,056 1,010,057 1,010,058 1,010,059 1,010,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 8,400,101
Square (n²): 1,020,196,962,304
Cube (n³): 1,030,447,901,381,230,592
Divisor count: 32
σ(n) — sum of divisors: 2,170,560
φ(n) — Euler's totient: 465,408
Sum of prime factors: 634

Primality

Prime factorization: 2 ⁷ × 13 × 607

Nearest primes: 1,010,033 (−15) · 1,010,069 (+21)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 128 · 208 · 416 · 607 · 832 · 1214 · 1664 · 2428 · 4856 · 7891 · 9712 · 15782 · 19424 · 31564 · 38848 · 63128 · 77696 · 126256 · 252512 · 505024 (half) · 1010048

Aliquot sum (sum of proper divisors): 1,160,512

Factor pairs (a × b = 1,010,048)

1 × 1010048

2 × 505024

4 × 252512

8 × 126256

13 × 77696

16 × 63128

26 × 38848

32 × 31564

52 × 19424

64 × 15782

104 × 9712

128 × 7891

208 × 4856

416 × 2428

607 × 1664

832 × 1214

First multiples

1,010,048 · 2,020,096 (double) · 3,030,144 · 4,040,192 · 5,050,240 · 6,060,288 · 7,070,336 · 8,080,384 · 9,090,432 · 10,100,480

Sums & aliquot sequence

As consecutive integers: 77,690 + 77,691 + … + 77,702 3,818 + 3,819 + … + 4,073 1,361 + 1,362 + … + 1,967

Aliquot sequence: 1,010,048 → 1,160,512 → 1,142,506 → 613,178 → 306,592 → 413,120 → 571,384 → 632,456 → 661,384 → 605,816 → 558,424 → 539,036 → 459,892 → 344,926 → 220,274 → 112,234 → 66,074 — unresolved within range

Continued fraction of √n

√1,010,048 = [1005; (87, 2, 1, 1, 4, 3, 1, 1, 2, 1, 1, 5, 1, 5, 3, 1, 4, 1, 2, 1, 1, 8, 19, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand forty-eight
Ordinal: 1010048th
Binary: 11110110100110000000
Octal: 3664600
Hexadecimal: 0xF6980
Base64: D2mA
One's complement: 4,293,957,247 (32-bit)
Scientific notation: 1.010048 × 10⁶
As a duration: 1,010,048 s = 11 days, 16 hours, 34 minutes, 8 seconds

In other bases

ternary (3) 1220022112012

quaternary (4) 3312212000

quinary (5) 224310143

senary (6) 33352052

septenary (7) 11404514

nonary (9) 1808465

undecimal (11) 62a956

duodecimal (12) 408628

tridecimal (13) 294980

tetradecimal (14) 1c4144

pentadecimal (15) 14e418

As an angle

1,010,048° = 2,805 × 360° + 248°

248° ≈ 4.328 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零四十八
Chinese (financial): 壹佰零壹萬零肆拾捌

In other modern scripts

Eastern Arabic ١٠١٠٠٤٨ Devanagari १०१००४८ Bengali ১০১০০৪৮ Tamil ௧௦௧௦௦௪௮ Thai ๑๐๑๐๐๔๘ Tibetan ༡༠༡༠༠༤༨ Khmer ១០១០០៤៨ Lao ໑໐໑໐໐໔໘ Burmese ၁၀၁၀၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010048, here are decompositions:

97 + 1009951 = 1010048
139 + 1009909 = 1010048
211 + 1009837 = 1010048
229 + 1009819 = 1010048
241 + 1009807 = 1010048
307 + 1009741 = 1010048
379 + 1009669 = 1010048
397 + 1009651 = 1010048

Showing the first eight; more decompositions exist.

Hex color

#0F6980

RGB(15, 105, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.128.

Address: 0.15.105.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0048 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0048-10-01 (MMDYYYY (US, single-digit day))
0048-01-10 (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 1,010,048 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 US1,010,048 on Google Patents ↗ Look up on USPTO ↗