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1,008,672

1,008,672 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.).

1,008,672 (one million eight thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 19 × 79. Its proper divisors sum to 2,216,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6420.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,768,001
Recamán's sequence
a(348,107) = 1,008,672
Square (n²)
1,017,419,203,584
Cube (n³)
1,026,242,262,917,480,448
Divisor count
96
σ(n) — sum of divisors
3,225,600
φ(n) — Euler's totient
269,568
Sum of prime factors
118

Primality

Prime factorization: 2 5 × 3 × 7 × 19 × 79

Nearest primes: 1,008,659 (−13) · 1,008,701 (+29)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 19 · 21 · 24 · 28 · 32 · 38 · 42 · 48 · 56 · 57 · 76 · 79 · 84 · 96 · 112 · 114 · 133 · 152 · 158 · 168 · 224 · 228 · 237 · 266 · 304 · 316 · 336 · 399 · 456 · 474 · 532 · 553 · 608 · 632 · 672 · 798 · 912 · 948 · 1064 · 1106 · 1264 · 1501 · 1596 · 1659 · 1824 · 1896 · 2128 · 2212 · 2528 · 3002 · 3192 · 3318 · 3792 · 4256 · 4424 · 4503 · 6004 · 6384 · 6636 · 7584 · 8848 · 9006 · 10507 · 12008 · 12768 · 13272 · 17696 · 18012 · 21014 · 24016 · 26544 · 31521 · 36024 · 42028 · 48032 · 53088 · 63042 · 72048 · 84056 · 126084 · 144096 · 168112 · 252168 · 336224 · 504336 (half) · 1008672
Aliquot sum (sum of proper divisors): 2,216,928
Factor pairs (a × b = 1,008,672)
1 × 1008672
2 × 504336
3 × 336224
4 × 252168
6 × 168112
7 × 144096
8 × 126084
12 × 84056
14 × 72048
16 × 63042
19 × 53088
21 × 48032
24 × 42028
28 × 36024
32 × 31521
38 × 26544
42 × 24016
48 × 21014
56 × 18012
57 × 17696
76 × 13272
79 × 12768
84 × 12008
96 × 10507
112 × 9006
114 × 8848
133 × 7584
152 × 6636
158 × 6384
168 × 6004
224 × 4503
228 × 4424
237 × 4256
266 × 3792
304 × 3318
316 × 3192
336 × 3002
399 × 2528
456 × 2212
474 × 2128
532 × 1896
553 × 1824
608 × 1659
632 × 1596
672 × 1501
798 × 1264
912 × 1106
948 × 1064
First multiples
1,008,672 · 2,017,344 (double) · 3,026,016 · 4,034,688 · 5,043,360 · 6,052,032 · 7,060,704 · 8,069,376 · 9,078,048 · 10,086,720

Sums & aliquot sequence

As consecutive integers: 336,223 + 336,224 + 336,225 144,093 + 144,094 + … + 144,099 53,079 + 53,080 + … + 53,097 48,022 + 48,023 + … + 48,042
Aliquot sequence: 1,008,672 2,216,928 4,435,872 10,043,040 27,454,560 71,393,952 144,688,992 292,783,008 672,961,632 1,345,925,280 3,516,424,800 9,564,737,952 21,738,064,992 — keeps growing

Continued fraction of √n

√1,008,672 = [1004; (3, 16, 3, 1, 2, 1, 8, 4, 3, 1, 1, 3, 1, 1, 2, 1, 1, 501, 1, 1, 2, 1, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million eight thousand six hundred seventy-two
Ordinal
1008672nd
Binary
11110110010000100000
Octal
3662040
Hexadecimal
0xF6420
Base64
D2Qg
One's complement
4,293,958,623 (32-bit)
Scientific notation
1.008672 × 10⁶
As a duration
1,008,672 s = 11 days, 16 hours, 11 minutes, 12 seconds
In other bases
ternary (3) 1220020122020
quaternary (4) 3312100200
quinary (5) 224234142
senary (6) 33341440
septenary (7) 11400510
nonary (9) 1806566
undecimal (11) 629915
duodecimal (12) 407880
tridecimal (13) 294162
tetradecimal (14) 1c3840
pentadecimal (15) 14dcec

As an angle

1,008,672° = 2,801 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬八千六百七十二
Chinese (financial)
壹佰萬捌仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٠٨٦٧٢ Devanagari १००८६७२ Bengali ১০০৮৬৭২ Tamil ௧௦௦௮௬௭௨ Thai ๑๐๐๘๖๗๒ Tibetan ༡༠༠༨༦༧༢ Khmer ១០០៨៦៧២ Lao ໑໐໐໘໖໗໒ Burmese ၁၀၀၈၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008672, here are decompositions:

  • 13 + 1008659 = 1008672
  • 59 + 1008613 = 1008672
  • 61 + 1008611 = 1008672
  • 83 + 1008589 = 1008672
  • 101 + 1008571 = 1008672
  • 109 + 1008563 = 1008672
  • 131 + 1008541 = 1008672
  • 173 + 1008499 = 1008672

Showing the first eight; more decompositions exist.

Hex color
#0F6420
RGB(15, 100, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.100.32.

Address
0.15.100.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.100.32

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 1,008,672 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°.