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1,000,164

1,000,164 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.).
Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
4,610,001
Square (n²)
1,000,328,026,896
Cube (n³)
1,000,492,080,692,410,944
Divisor count
24
σ(n) — sum of divisors
2,546,208
φ(n) — Euler's totient
303,040
Sum of prime factors
7,595

Primality

Prime factorization: 2 2 × 3 × 11 × 7577

Nearest primes: 1,000,159 (−5) · 1,000,171 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 7577 · 15154 · 22731 · 30308 · 45462 · 83347 · 90924 · 166694 · 250041 · 333388 · 500082 (half) · 1000164
Aliquot sum (sum of proper divisors): 1,546,044
Factor pairs (a × b = 1,000,164)
1 × 1000164
2 × 500082
3 × 333388
4 × 250041
6 × 166694
11 × 90924
12 × 83347
22 × 45462
33 × 30308
44 × 22731
66 × 15154
132 × 7577
First multiples
1,000,164 · 2,000,328 (double) · 3,000,492 · 4,000,656 · 5,000,820 · 6,000,984 · 7,001,148 · 8,001,312 · 9,001,476 · 10,001,640

Sums & aliquot sequence

As consecutive integers: 333,387 + 333,388 + 333,389 125,017 + 125,018 + … + 125,024 90,919 + 90,920 + … + 90,929 41,662 + 41,663 + … + 41,685
Aliquot sequence: 1,000,164 1,546,044 2,061,420 4,325,268 5,767,052 4,374,604 3,869,940 6,966,060 12,539,076 19,378,908 29,606,756 24,217,588 20,656,304 19,365,316 15,245,372 12,838,348 9,661,724 — unresolved within range

Continued fraction of √n

√1,000,164 = [1000; (12, 5, 8, 1, 14, 1, 2, 1, 3, 2, 2, 1, 1, 1, 56, 1, 1, 14, 1, 1, 6, 1, 3, 9, …)]

Representations

In words
one million one hundred sixty-four
Ordinal
1000164th
Binary
11110100001011100100
Octal
3641344
Hexadecimal
0xF42E4
Base64
D0Lk
One's complement
4,293,967,131 (32-bit)
Scientific notation
1.000164 × 10⁶
As a duration
1,000,164 s = 11 days, 13 hours, 49 minutes, 24 seconds
In other bases
ternary (3) 1212210222010
quaternary (4) 3310023210
quinary (5) 224001124
senary (6) 33234220
septenary (7) 11333634
nonary (9) 1783863
undecimal (11) 623490
duodecimal (12) 402970
tridecimal (13) 290319
tetradecimal (14) 1c06c4
pentadecimal (15) 14b529

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬零一百六十四
Chinese (financial)
壹佰萬零壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٠٠١٦٤ Devanagari १०००१६४ Bengali ১০০০১৬৪ Tamil ௧௦௦௦௧௬௪ Thai ๑๐๐๐๑๖๔ Tibetan ༡༠༠༠༡༦༤ Khmer ១០០០១៦៤ Lao ໑໐໐໐໑໖໔ Burmese ၁၀၀၀၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000164, here are decompositions:

  • 5 + 1000159 = 1000164
  • 13 + 1000151 = 1000164
  • 31 + 1000133 = 1000164
  • 43 + 1000121 = 1000164
  • 47 + 1000117 = 1000164
  • 83 + 1000081 = 1000164
  • 127 + 1000037 = 1000164
  • 131 + 1000033 = 1000164

Showing the first eight; more decompositions exist.

Hex color
#0F42E4
RGB(15, 66, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.228.

Address
0.15.66.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.66.228

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 1,000,164 and was likely granted around 1911.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
001000164
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1000164 first appears in π at position 741,179 of the decimal expansion (the 741,179ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.