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171,264

171,264 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.).

171,264 (one hundred seventy-one thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 3 × 223. Its proper divisors sum to 286,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29D00.

Abundant Number Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
336
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
462,171
Recamán's sequence
a(193,236) = 171,264
Square (n²)
29,331,357,696
Cube (n³)
5,023,405,644,447,744
Divisor count
36
σ(n) — sum of divisors
457,856
φ(n) — Euler's totient
56,832
Sum of prime factors
242

Primality

Prime factorization: 2 8 × 3 × 223

Nearest primes: 171,263 (−1) · 171,271 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 223 · 256 · 384 · 446 · 669 · 768 · 892 · 1338 · 1784 · 2676 · 3568 · 5352 · 7136 · 10704 · 14272 · 21408 · 28544 · 42816 · 57088 · 85632 (half) · 171264
Aliquot sum (sum of proper divisors): 286,592
Factor pairs (a × b = 171,264)
1 × 171264
2 × 85632
3 × 57088
4 × 42816
6 × 28544
8 × 21408
12 × 14272
16 × 10704
24 × 7136
32 × 5352
48 × 3568
64 × 2676
96 × 1784
128 × 1338
192 × 892
223 × 768
256 × 669
384 × 446
First multiples
171,264 · 342,528 (double) · 513,792 · 685,056 · 856,320 · 1,027,584 · 1,198,848 · 1,370,112 · 1,541,376 · 1,712,640

Sums & aliquot sequence

As consecutive integers: 57,087 + 57,088 + 57,089 657 + 658 + … + 879 79 + 80 + … + 590
Aliquot sequence: 171,264 286,592 284,608 280,288 301,832 284,068 223,964 211,156 192,044 152,524 130,220 160,084 129,324 196,036 147,034 73,520 97,600 — unresolved within range

Continued fraction of √n

√171,264 = [413; (1, 5, 3, 1, 2, 6, 2, 10, 1, 6, 1, 32, 4, 3, 1, 1, 3, 3, 1, 1, 6, 1, 8, 7, …)]

Representations

In words
one hundred seventy-one thousand two hundred sixty-four
Ordinal
171264th
Binary
101001110100000000
Octal
516400
Hexadecimal
0x29D00
Base64
Ap0A
One's complement
4,294,796,031 (32-bit)
Scientific notation
1.71264 × 10⁵
As a duration
171,264 s = 1 day, 23 hours, 34 minutes, 24 seconds
In other bases
ternary (3) 22200221010
quaternary (4) 221310000
quinary (5) 20440024
senary (6) 3400520
septenary (7) 1312212
nonary (9) 280833
undecimal (11) 107745
duodecimal (12) 83140
tridecimal (13) 5cc52
tetradecimal (14) 465b2
pentadecimal (15) 35b29

As an angle

171,264° = 475 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροασξδʹ
Chinese
一十七萬一千二百六十四
Chinese (financial)
壹拾柒萬壹仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٧١٢٦٤ Devanagari १७१२६४ Bengali ১৭১২৬৪ Tamil ௧௭௧௨௬௪ Thai ๑๗๑๒๖๔ Tibetan ༡༧༡༢༦༤ Khmer ១៧១២៦៤ Lao ໑໗໑໒໖໔ Burmese ၁၇၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 171264, here are decompositions:

  • 11 + 171253 = 171264
  • 13 + 171251 = 171264
  • 31 + 171233 = 171264
  • 61 + 171203 = 171264
  • 97 + 171167 = 171264
  • 101 + 171163 = 171264
  • 103 + 171161 = 171264
  • 173 + 171091 = 171264

Showing the first eight; more decompositions exist.

Unicode codepoint
𩴀
CJK Unified Ideograph-29D00
U+29D00
Other letter (Lo)

UTF-8 encoding: F0 A9 B4 80 (4 bytes).

Hex color
#029D00
RGB(2, 157, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.157.0.

Address
0.2.157.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.157.0

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 171,264 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 171264 first appears in π at position 131,095 of the decimal expansion (the 131,095ordinal-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°.