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164,428

164,428 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.).

164,428 (one hundred sixty-four thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 37 × 101. Written other ways, in hexadecimal, 0x2824C.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,536
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
824,461
Recamán's sequence
a(473,159) = 164,428
Square (n²)
27,036,567,184
Cube (n³)
4,445,568,668,930,752
Divisor count
24
σ(n) — sum of divisors
325,584
φ(n) — Euler's totient
72,000
Sum of prime factors
153

Primality

Prime factorization: 2 2 × 11 × 37 × 101

Nearest primes: 164,419 (−9) · 164,429 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 22 · 37 · 44 · 74 · 101 · 148 · 202 · 404 · 407 · 814 · 1111 · 1628 · 2222 · 3737 · 4444 · 7474 · 14948 · 41107 · 82214 (half) · 164428
Aliquot sum (sum of proper divisors): 161,156
Factor pairs (a × b = 164,428)
1 × 164428
2 × 82214
4 × 41107
11 × 14948
22 × 7474
37 × 4444
44 × 3737
74 × 2222
101 × 1628
148 × 1111
202 × 814
404 × 407
First multiples
164,428 · 328,856 (double) · 493,284 · 657,712 · 822,140 · 986,568 · 1,150,996 · 1,315,424 · 1,479,852 · 1,644,280

Sums & aliquot sequence

As consecutive integers: 20,550 + 20,551 + … + 20,557 14,943 + 14,944 + … + 14,953 4,426 + 4,427 + … + 4,462 1,825 + 1,826 + … + 1,912
Aliquot sequence: 164,428 161,156 120,874 74,426 55,174 41,270 33,034 17,366 10,114 6,266 3,898 1,952 1,954 980 1,414 1,034 694 — unresolved within range

Continued fraction of √n

√164,428 = [405; (2, 89, 1, 1, 1, 1, 3, 9, 1, 2, 1, 3, 3, 2, 3, 2, 2, 3, 1, 1, 1, 1, 1, 23, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand four hundred twenty-eight
Ordinal
164428th
Binary
101000001001001100
Octal
501114
Hexadecimal
0x2824C
Base64
AoJM
One's complement
4,294,802,867 (32-bit)
Scientific notation
1.64428 × 10⁵
As a duration
164,428 s = 1 day, 21 hours, 40 minutes, 28 seconds
In other bases
ternary (3) 22100112221
quaternary (4) 220021030
quinary (5) 20230203
senary (6) 3305124
septenary (7) 1253245
nonary (9) 270487
undecimal (11) 1025a0
duodecimal (12) 7b1a4
tridecimal (13) 59ac4
tetradecimal (14) 43ccc
pentadecimal (15) 33abd

As an angle

164,428° = 456 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδυκηʹ
Chinese
一十六萬四千四百二十八
Chinese (financial)
壹拾陸萬肆仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٦٤٤٢٨ Devanagari १६४४२८ Bengali ১৬৪৪২৮ Tamil ௧௬௪௪௨௮ Thai ๑๖๔๔๒๘ Tibetan ༡༦༤༤༢༨ Khmer ១៦៤៤២៨ Lao ໑໖໔໔໒໘ Burmese ၁၆၄၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164428, here are decompositions:

  • 41 + 164387 = 164428
  • 71 + 164357 = 164428
  • 107 + 164321 = 164428
  • 137 + 164291 = 164428
  • 149 + 164279 = 164428
  • 179 + 164249 = 164428
  • 197 + 164231 = 164428
  • 227 + 164201 = 164428

Showing the first eight; more decompositions exist.

Unicode codepoint
𨉌
CJK Unified Ideograph-2824C
U+2824C
Other letter (Lo)

UTF-8 encoding: F0 A8 89 8C (4 bytes).

Hex color
#02824C
RGB(2, 130, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.76.

Address
0.2.130.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.76

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 164,428 and was likely granted around 1874.

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

Position in π

The digit sequence 164428 first appears in π at position 396,778 of the decimal expansion (the 396,778ordinal-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.

Related reading

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