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165,464

165,464 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.).

165,464 (one hundred sixty-five thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 37 × 43. Its proper divisors sum to 185,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28658.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,880
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
464,561
Square (n²)
27,378,335,296
Cube (n³)
4,530,128,871,417,344
Divisor count
32
σ(n) — sum of divisors
351,120
φ(n) — Euler's totient
72,576
Sum of prime factors
99

Primality

Prime factorization: 2 3 × 13 × 37 × 43

Nearest primes: 165,463 (−1) · 165,469 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 26 · 37 · 43 · 52 · 74 · 86 · 104 · 148 · 172 · 296 · 344 · 481 · 559 · 962 · 1118 · 1591 · 1924 · 2236 · 3182 · 3848 · 4472 · 6364 · 12728 · 20683 · 41366 · 82732 (half) · 165464
Aliquot sum (sum of proper divisors): 185,656
Factor pairs (a × b = 165,464)
1 × 165464
2 × 82732
4 × 41366
8 × 20683
13 × 12728
26 × 6364
37 × 4472
43 × 3848
52 × 3182
74 × 2236
86 × 1924
104 × 1591
148 × 1118
172 × 962
296 × 559
344 × 481
First multiples
165,464 · 330,928 (double) · 496,392 · 661,856 · 827,320 · 992,784 · 1,158,248 · 1,323,712 · 1,489,176 · 1,654,640

Sums & aliquot sequence

As a sum of two cubes: 20³ + 54³ = 38³ + 48³ — a taxicab number
As consecutive integers: 12,722 + 12,723 + … + 12,734 10,334 + 10,335 + … + 10,349 4,454 + 4,455 + … + 4,490 3,827 + 3,828 + … + 3,869
Aliquot sequence: 165,464 185,656 177,944 200,056 197,384 206,536 216,104 276,376 247,424 245,746 157,454 116,002 63,710 56,386 36,980 42,526 27,098 — unresolved within range

Continued fraction of √n

√165,464 = [406; (1, 3, 2, 1, 1, 31, 1, 19, 2, 1, 2, 2, 2, 1, 2, 19, 1, 31, 1, 1, 2, 3, 1, 812)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand four hundred sixty-four
Ordinal
165464th
Binary
101000011001011000
Octal
503130
Hexadecimal
0x28658
Base64
AoZY
One's complement
4,294,801,831 (32-bit)
Scientific notation
1.65464 × 10⁵
As a duration
165,464 s = 1 day, 21 hours, 57 minutes, 44 seconds
In other bases
ternary (3) 22101222022
quaternary (4) 220121120
quinary (5) 20243324
senary (6) 3314012
septenary (7) 1256255
nonary (9) 271868
undecimal (11) 103352
duodecimal (12) 7b908
tridecimal (13) 5a410
tetradecimal (14) 4442c
pentadecimal (15) 3405e

As an angle

165,464° = 459 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξευξδʹ
Chinese
一十六萬五千四百六十四
Chinese (financial)
壹拾陸萬伍仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٦٥٤٦٤ Devanagari १६५४६४ Bengali ১৬৫৪৬৪ Tamil ௧௬௫௪௬௪ Thai ๑๖๕๔๖๔ Tibetan ༡༦༥༤༦༤ Khmer ១៦៥៤៦៤ Lao ໑໖໕໔໖໔ Burmese ၁၆၅၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165464, here are decompositions:

  • 7 + 165457 = 165464
  • 67 + 165397 = 165464
  • 73 + 165391 = 165464
  • 97 + 165367 = 165464
  • 151 + 165313 = 165464
  • 283 + 165181 = 165464
  • 331 + 165133 = 165464
  • 463 + 165001 = 165464

Showing the first eight; more decompositions exist.

Unicode codepoint
𨙘
CJK Unified Ideograph-28658
U+28658
Other letter (Lo)

UTF-8 encoding: F0 A8 99 98 (4 bytes).

Hex color
#028658
RGB(2, 134, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.134.88.

Address
0.2.134.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.134.88

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 165,464 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 165464 first appears in π at position 56,162 of the decimal expansion (the 56,162ordinal-suffix:nd 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°.