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1,015,248

1,015,248 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.).

1,015,248 (one million fifteen thousand two hundred forty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 1,627. Its proper divisors sum to 1,810,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7DD0.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
8,425,101
Recamán's sequence
a(364,371) = 1,015,248
Square (n²)
1,030,728,501,504
Cube (n³)
1,046,445,049,694,932,992
Divisor count
40
σ(n) — sum of divisors
2,826,208
φ(n) — Euler's totient
312,192
Sum of prime factors
1,651

Primality

Prime factorization: 2 4 × 3 × 13 × 1627

Nearest primes: 1,015,207 (−41) · 1,015,277 (+29)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 208 · 312 · 624 · 1627 · 3254 · 4881 · 6508 · 9762 · 13016 · 19524 · 21151 · 26032 · 39048 · 42302 · 63453 · 78096 · 84604 · 126906 · 169208 · 253812 · 338416 · 507624 (half) · 1015248
Aliquot sum (sum of proper divisors): 1,810,960
Factor pairs (a × b = 1,015,248)
1 × 1015248
2 × 507624
3 × 338416
4 × 253812
6 × 169208
8 × 126906
12 × 84604
13 × 78096
16 × 63453
24 × 42302
26 × 39048
39 × 26032
48 × 21151
52 × 19524
78 × 13016
104 × 9762
156 × 6508
208 × 4881
312 × 3254
624 × 1627
First multiples
1,015,248 · 2,030,496 (double) · 3,045,744 · 4,060,992 · 5,076,240 · 6,091,488 · 7,106,736 · 8,121,984 · 9,137,232 · 10,152,480

Sums & aliquot sequence

As consecutive integers: 338,415 + 338,416 + 338,417 78,090 + 78,091 + … + 78,102 31,711 + 31,712 + … + 31,742 26,013 + 26,014 + … + 26,051
Aliquot sequence: 1,015,248 1,810,960 2,399,708 1,799,788 1,364,604 1,819,500 3,483,252 5,321,726 2,660,866 1,786,934 983,722 578,714 340,474 201,254 107,194 53,600 79,204 — unresolved within range

Continued fraction of √n

√1,015,248 = [1007; (1, 1, 2, 7, 1, 6, 10, 1, 6, 2, 167, 2, 6, 1, 10, 6, 1, 7, 2, 1, 1, 2014)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one million fifteen thousand two hundred forty-eight
Ordinal
1015248th
Binary
11110111110111010000
Octal
3676720
Hexadecimal
0xF7DD0
Base64
D33Q
One's complement
4,293,952,047 (32-bit)
Scientific notation
1.015248 × 10⁶
As a duration
1,015,248 s = 11 days, 18 hours, 48 seconds
In other bases
ternary (3) 1220120122210
quaternary (4) 3313313100
quinary (5) 224441443
senary (6) 33432120
septenary (7) 11425623
nonary (9) 1816583
undecimal (11) 633853
duodecimal (12) 40b640
tridecimal (13) 297150
tetradecimal (14) 1c5dba
pentadecimal (15) 150c33

As an angle

1,015,248° = 2,820 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬五千二百四十八
Chinese (financial)
壹佰零壹萬伍仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ١٠١٥٢٤٨ Devanagari १०१५२४८ Bengali ১০১৫২৪৮ Tamil ௧௦௧௫௨௪௮ Thai ๑๐๑๕๒๔๘ Tibetan ༡༠༡༥༢༤༨ Khmer ១០១៥២៤៨ Lao ໑໐໑໕໒໔໘ Burmese ၁၀၁၅၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015248, here are decompositions:

  • 41 + 1015207 = 1015248
  • 89 + 1015159 = 1015248
  • 109 + 1015139 = 1015248
  • 151 + 1015097 = 1015248
  • 167 + 1015081 = 1015248
  • 181 + 1015067 = 1015248
  • 191 + 1015057 = 1015248
  • 197 + 1015051 = 1015248

Showing the first eight; more decompositions exist.

Hex color
#0F7DD0
RGB(15, 125, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.125.208.

Address
0.15.125.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.125.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 5248 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5248-10-01 (MMDYYYY (US, single-digit day))
  • 5248-01-10 (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 1,015,248 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.