Live analysis

1,016,048

1,016,048 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.).

1,016,048 (one million sixteen thousand forty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 23 × 251. Its proper divisors sum to 1,233,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80F0.

Abundant Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,016,036 1,016,037 1,016,038 1,016,039 1,016,040 1,016,041 1,016,042 1,016,043 1,016,044 1,016,045 1,016,046 1,016,047 1,016,048 1,016,049 1,016,050 1,016,051 1,016,052 1,016,053 1,016,054 1,016,055 1,016,056 1,016,057 1,016,058 1,016,059 1,016,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,406,101
Recamán's sequence: a(365,895) = 1,016,048
Square (n²): 1,032,353,538,304
Cube (n³): 1,048,920,747,886,702,592
Divisor count: 40
σ(n) — sum of divisors: 2,249,856
φ(n) — Euler's totient: 440,000
Sum of prime factors: 293

Primality

Prime factorization: 2 ⁴ × 11 × 23 × 251

Nearest primes: 1,016,033 (−15) · 1,016,051 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 23 · 44 · 46 · 88 · 92 · 176 · 184 · 251 · 253 · 368 · 502 · 506 · 1004 · 1012 · 2008 · 2024 · 2761 · 4016 · 4048 · 5522 · 5773 · 11044 · 11546 · 22088 · 23092 · 44176 · 46184 · 63503 · 92368 · 127006 · 254012 · 508024 (half) · 1016048

Aliquot sum (sum of proper divisors): 1,233,808

Factor pairs (a × b = 1,016,048)

1 × 1016048

2 × 508024

4 × 254012

8 × 127006

11 × 92368

16 × 63503

22 × 46184

23 × 44176

44 × 23092

46 × 22088

88 × 11546

92 × 11044

176 × 5773

184 × 5522

251 × 4048

253 × 4016

368 × 2761

502 × 2024

506 × 2008

1004 × 1012

First multiples

1,016,048 · 2,032,096 (double) · 3,048,144 · 4,064,192 · 5,080,240 · 6,096,288 · 7,112,336 · 8,128,384 · 9,144,432 · 10,160,480

Sums & aliquot sequence

As consecutive integers: 92,363 + 92,364 + … + 92,373 44,165 + 44,166 + … + 44,187 31,736 + 31,737 + … + 31,767 3,923 + 3,924 + … + 4,173

Aliquot sequence: 1,016,048 → 1,233,808 → 1,199,072 → 1,576,960 → 3,141,056 → 3,460,912 → 4,795,504 → 6,060,944 → 5,682,166 → 4,058,714 → 2,582,854 → 1,459,946 → 822,334 → 411,170 → 328,954 → 164,480 → 230,260 — unresolved within range

Continued fraction of √n

√1,016,048 = [1007; (1, 124, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand forty-eight
Ordinal: 1016048th
Binary: 11111000000011110000
Octal: 3700360
Hexadecimal: 0xF80F0
Base64: D4Dw
One's complement: 4,293,951,247 (32-bit)
Scientific notation: 1.016048 × 10⁶
As a duration: 1,016,048 s = 11 days, 18 hours, 14 minutes, 8 seconds

In other bases

ternary (3) 1220121202102

quaternary (4) 3320003300

quinary (5) 230003143

senary (6) 33435532

septenary (7) 11431145

nonary (9) 1817672

undecimal (11) 634410

duodecimal (12) 40bba8

tridecimal (13) 297617

tetradecimal (14) 1c63cc

pentadecimal (15) 1510b8

As an angle

1,016,048° = 2,822 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千零四十八
Chinese (financial): 壹佰零壹萬陸仟零肆拾捌

In other modern scripts

Eastern Arabic ١٠١٦٠٤٨ Devanagari १०१६०४८ Bengali ১০১৬০৪৮ Tamil ௧௦௧௬௦௪௮ Thai ๑๐๑๖๐๔๘ Tibetan ༡༠༡༦༠༤༨ Khmer ១០១៦០៤៨ Lao ໑໐໑໖໐໔໘ Burmese ၁၀၁၆၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016048, here are decompositions:

37 + 1016011 = 1016048
67 + 1015981 = 1016048
151 + 1015897 = 1016048
157 + 1015891 = 1016048
421 + 1015627 = 1016048
487 + 1015561 = 1016048
499 + 1015549 = 1016048
541 + 1015507 = 1016048

Showing the first eight; more decompositions exist.

Hex color

#0F80F0

RGB(15, 128, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.240.

Address: 0.15.128.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 6048 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6048-10-01 (MMDYYYY (US, single-digit day))
6048-01-10 (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 1,016,048 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 US1,016,048 on Google Patents ↗ Look up on USPTO ↗