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1,057,672

1,057,672 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.).

1,057,672 (one million fifty-seven thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 7 × 11 × 17 × 101. Its proper divisors sum to 1,586,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102388.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
2,767,501
Square (n²)
1,118,670,059,584
Cube (n³)
1,183,185,999,260,328,448
Divisor count
64
σ(n) — sum of divisors
2,643,840
φ(n) — Euler's totient
384,000
Sum of prime factors
142

Primality

Prime factorization: 2 3 × 7 × 11 × 17 × 101

Nearest primes: 1,057,663 (−9) · 1,057,681 (+9)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 17 · 22 · 28 · 34 · 44 · 56 · 68 · 77 · 88 · 101 · 119 · 136 · 154 · 187 · 202 · 238 · 308 · 374 · 404 · 476 · 616 · 707 · 748 · 808 · 952 · 1111 · 1309 · 1414 · 1496 · 1717 · 2222 · 2618 · 2828 · 3434 · 4444 · 5236 · 5656 · 6868 · 7777 · 8888 · 10472 · 12019 · 13736 · 15554 · 18887 · 24038 · 31108 · 37774 · 48076 · 62216 · 75548 · 96152 · 132209 · 151096 · 264418 · 528836 (half) · 1057672
Aliquot sum (sum of proper divisors): 1,586,168
Factor pairs (a × b = 1,057,672)
1 × 1057672
2 × 528836
4 × 264418
7 × 151096
8 × 132209
11 × 96152
14 × 75548
17 × 62216
22 × 48076
28 × 37774
34 × 31108
44 × 24038
56 × 18887
68 × 15554
77 × 13736
88 × 12019
101 × 10472
119 × 8888
136 × 7777
154 × 6868
187 × 5656
202 × 5236
238 × 4444
308 × 3434
374 × 2828
404 × 2618
476 × 2222
616 × 1717
707 × 1496
748 × 1414
808 × 1309
952 × 1111
First multiples
1,057,672 · 2,115,344 (double) · 3,173,016 · 4,230,688 · 5,288,360 · 6,346,032 · 7,403,704 · 8,461,376 · 9,519,048 · 10,576,720

Sums & aliquot sequence

As consecutive integers: 151,093 + 151,094 + … + 151,099 96,147 + 96,148 + … + 96,157 66,097 + 66,098 + … + 66,112 62,208 + 62,209 + … + 62,224
Aliquot sequence: 1,057,672 → 1,586,168 → 1,621,432 → 1,418,768 → 1,706,032 → 1,599,436 → 1,330,820 → 1,463,944 → 1,369,976 → 1,334,224 → 1,250,866 → 656,378 → 332,794 → 289,862 → 144,934 → 72,470 → 57,994 — unresolved within range

Continued fraction of √n

√1,057,672 = [1028; (2, 3, 6, 228, 2, 1, 1, 1, 1, 1, 5, 1, 2, 25, 23, 1, 1, 1, 1, 14, 2, 2, 2, 1, …)]

Representations

In words
one million fifty-seven thousand six hundred seventy-two
Ordinal
1057672nd
Binary
100000010001110001000
Octal
4021610
Hexadecimal
0x102388
Base64
ECOI
One's complement
4,293,909,623 (32-bit)
Scientific notation
1.057672 × 10⁶
As a duration
1,057,672 s = 12 days, 5 hours, 47 minutes, 52 seconds
In other bases
ternary (3) 1222201212001
quaternary (4) 10002032020
quinary (5) 232321142
senary (6) 34400344
septenary (7) 11663410
nonary (9) 1881761
undecimal (11) 662710
duodecimal (12) 4300b4
tridecimal (13) 2b0555
tetradecimal (14) 1d7640
pentadecimal (15) 15d5b7

As an angle

1,057,672° = 2,937 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬七千六百七十二
Chinese (financial)
壹佰零伍萬柒仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٥٧٦٧٢ Devanagari १०५७६७२ Bengali ১০৫৭৬৭২ Tamil ௧௦௫௭௬௭௨ Thai ๑๐๕๗๖๗๒ Tibetan ༡༠༥༧༦༧༢ Khmer ១០៥៧៦៧២ Lao ໑໐໕໗໖໗໒ Burmese ၁၀၅၇၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057672, here are decompositions:

  • 29 + 1057643 = 1057672
  • 41 + 1057631 = 1057672
  • 59 + 1057613 = 1057672
  • 131 + 1057541 = 1057672
  • 179 + 1057493 = 1057672
  • 251 + 1057421 = 1057672
  • 281 + 1057391 = 1057672
  • 311 + 1057361 = 1057672

Showing the first eight; more decompositions exist.

Hex color
#102388
RGB(16, 35, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.35.136.

Address
0.16.35.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.35.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 7672 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7672-05-01 (DMMYYYY (Euro, single-digit day))
  • 7672-10-05 (MMDYYYY (US, single-digit day))
  • 7672-05-10 (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 1,057,672 and was likely granted around 1912.

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°.