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1,007,148

1,007,148 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.).

1,007,148 (one million seven thousand one hundred forty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 4,937. Its proper divisors sum to 1,481,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E2C.

Abundant Number Arithmetic Number Cube-Free Evil Number 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
8,417,001
Square (n²)
1,014,347,093,904
Cube (n³)
1,021,597,646,931,225,792
Divisor count
24
σ(n) — sum of divisors
2,488,752
φ(n) — Euler's totient
315,904
Sum of prime factors
4,961

Primality

Prime factorization: 2 2 × 3 × 17 × 4937

Nearest primes: 1,007,137 (−11) · 1,007,161 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 4937 · 9874 · 14811 · 19748 · 29622 · 59244 · 83929 · 167858 · 251787 · 335716 · 503574 (half) · 1007148
Aliquot sum (sum of proper divisors): 1,481,604
Factor pairs (a × b = 1,007,148)
1 × 1007148
2 × 503574
3 × 335716
4 × 251787
6 × 167858
12 × 83929
17 × 59244
34 × 29622
51 × 19748
68 × 14811
102 × 9874
204 × 4937
First multiples
1,007,148 · 2,014,296 (double) · 3,021,444 · 4,028,592 · 5,035,740 · 6,042,888 · 7,050,036 · 8,057,184 · 9,064,332 · 10,071,480

Sums & aliquot sequence

As consecutive integers: 335,715 + 335,716 + 335,717 125,890 + 125,891 + … + 125,897 59,236 + 59,237 + … + 59,252 41,953 + 41,954 + … + 41,976
Aliquot sequence: 1,007,148 1,481,604 1,995,324 2,934,804 3,913,100 4,680,100 6,077,024 6,592,024 5,802,776 7,063,264 7,913,096 7,002,244 5,407,356 7,248,084 9,664,140 19,366,260 34,859,436 — unresolved within range

Continued fraction of √n

√1,007,148 = [1003; (1, 1, 3, 5, 10, 2, 18, 1, 4, 1, 1, 1, 3, 1, 7, 1, 1, 1, 1, 2, 2, 2, 1, 1, …)]

Representations

In words
one million seven thousand one hundred forty-eight
Ordinal
1007148th
Binary
11110101111000101100
Octal
3657054
Hexadecimal
0xF5E2C
Base64
D14s
One's complement
4,293,960,147 (32-bit)
Scientific notation
1.007148 × 10⁶
As a duration
1,007,148 s = 11 days, 15 hours, 45 minutes, 48 seconds
In other bases
ternary (3) 1220011112210
quaternary (4) 3311320230
quinary (5) 224212043
senary (6) 33330420
septenary (7) 11363202
nonary (9) 1804483
undecimal (11) 62875a
duodecimal (12) 406a10
tridecimal (13) 29355c
tetradecimal (14) 1c3072
pentadecimal (15) 14d633

As an angle

1,007,148° = 2,797 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬七千一百四十八
Chinese (financial)
壹佰萬柒仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٠٧١٤٨ Devanagari १००७१४८ Bengali ১০০৭১৪৮ Tamil ௧௦௦௭௧௪௮ Thai ๑๐๐๗๑๔๘ Tibetan ༡༠༠༧༡༤༨ Khmer ១០០៧១៤៨ Lao ໑໐໐໗໑໔໘ Burmese ၁၀၀၇၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007148, here are decompositions:

  • 11 + 1007137 = 1007148
  • 19 + 1007129 = 1007148
  • 29 + 1007119 = 1007148
  • 31 + 1007117 = 1007148
  • 59 + 1007089 = 1007148
  • 67 + 1007081 = 1007148
  • 89 + 1007059 = 1007148
  • 101 + 1007047 = 1007148

Showing the first eight; more decompositions exist.

Hex color
#0F5E2C
RGB(15, 94, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.44.

Address
0.15.94.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.94.44

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 1,007,148 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°.