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164,424

164,424 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.).

164,424 (one hundred sixty-four thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 13 × 17 × 31. Its proper divisors sum to 319,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28248.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
768
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
424,461
Recamán's sequence
a(473,167) = 164,424
Square (n²)
27,035,251,776
Cube (n³)
4,445,244,238,017,024
Divisor count
64
σ(n) — sum of divisors
483,840
φ(n) — Euler's totient
46,080
Sum of prime factors
70

Primality

Prime factorization: 2 3 × 3 × 13 × 17 × 31

Nearest primes: 164,419 (−5) · 164,429 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 17 · 24 · 26 · 31 · 34 · 39 · 51 · 52 · 62 · 68 · 78 · 93 · 102 · 104 · 124 · 136 · 156 · 186 · 204 · 221 · 248 · 312 · 372 · 403 · 408 · 442 · 527 · 663 · 744 · 806 · 884 · 1054 · 1209 · 1326 · 1581 · 1612 · 1768 · 2108 · 2418 · 2652 · 3162 · 3224 · 4216 · 4836 · 5304 · 6324 · 6851 · 9672 · 12648 · 13702 · 20553 · 27404 · 41106 · 54808 · 82212 (half) · 164424
Aliquot sum (sum of proper divisors): 319,416
Factor pairs (a × b = 164,424)
1 × 164424
2 × 82212
3 × 54808
4 × 41106
6 × 27404
8 × 20553
12 × 13702
13 × 12648
17 × 9672
24 × 6851
26 × 6324
31 × 5304
34 × 4836
39 × 4216
51 × 3224
52 × 3162
62 × 2652
68 × 2418
78 × 2108
93 × 1768
102 × 1612
104 × 1581
124 × 1326
136 × 1209
156 × 1054
186 × 884
204 × 806
221 × 744
248 × 663
312 × 527
372 × 442
403 × 408
First multiples
164,424 · 328,848 (double) · 493,272 · 657,696 · 822,120 · 986,544 · 1,150,968 · 1,315,392 · 1,479,816 · 1,644,240

Sums & aliquot sequence

As consecutive integers: 54,807 + 54,808 + 54,809 12,642 + 12,643 + … + 12,654 10,269 + 10,270 + … + 10,284 9,664 + 9,665 + … + 9,680
Aliquot sequence: 164,424 319,416 479,184 785,616 1,401,744 2,615,856 4,141,896 7,565,304 11,541,336 18,910,344 28,858,776 45,462,504 68,193,816 102,532,584 220,534,296 330,801,504 672,271,392 — unresolved within range

Continued fraction of √n

√164,424 = [405; (2, 31, 1, 15, 1, 1, 2, 1, 1, 3, 6, 2, 11, 2, 6, 3, 1, 1, 2, 1, 1, 15, 1, 31, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand four hundred twenty-four
Ordinal
164424th
Binary
101000001001001000
Octal
501110
Hexadecimal
0x28248
Base64
AoJI
One's complement
4,294,802,871 (32-bit)
Scientific notation
1.64424 × 10⁵
As a duration
164,424 s = 1 day, 21 hours, 40 minutes, 24 seconds
In other bases
ternary (3) 22100112210
quaternary (4) 220021020
quinary (5) 20230144
senary (6) 3305120
septenary (7) 1253241
nonary (9) 270483
undecimal (11) 102597
duodecimal (12) 7b1a0
tridecimal (13) 59ac0
tetradecimal (14) 43cc8
pentadecimal (15) 33ab9

As an angle

164,424° = 456 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδυκδʹ
Chinese
一十六萬四千四百二十四
Chinese (financial)
壹拾陸萬肆仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١٦٤٤٢٤ Devanagari १६४४२४ Bengali ১৬৪৪২৪ Tamil ௧௬௪௪௨௪ Thai ๑๖๔๔๒๔ Tibetan ༡༦༤༤༢༤ Khmer ១៦៤៤២៤ Lao ໑໖໔໔໒໔ Burmese ၁၆၄၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164424, here are decompositions:

  • 5 + 164419 = 164424
  • 11 + 164413 = 164424
  • 37 + 164387 = 164424
  • 47 + 164377 = 164424
  • 53 + 164371 = 164424
  • 61 + 164363 = 164424
  • 67 + 164357 = 164424
  • 83 + 164341 = 164424

Showing the first eight; more decompositions exist.

Unicode codepoint
𨉈
CJK Unified Ideograph-28248
U+28248
Other letter (Lo)

UTF-8 encoding: F0 A8 89 88 (4 bytes).

Hex color
#028248
RGB(2, 130, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.72.

Address
0.2.130.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.72

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 164,424 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 164424 first appears in π at position 480,096 of the decimal expansion (the 480,096ordinal-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°.