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172,264

172,264 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.).

172,264 (one hundred seventy-two thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 61 × 353. Written other ways, in hexadecimal, 0x2A0E8.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
672
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
462,271
Recamán's sequence
a(191,236) = 172,264
Square (n²)
29,674,885,696
Cube (n³)
5,111,914,509,535,744
Divisor count
16
σ(n) — sum of divisors
329,220
φ(n) — Euler's totient
84,480
Sum of prime factors
420

Primality

Prime factorization: 2 3 × 61 × 353

Nearest primes: 172,259 (−5) · 172,279 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 61 · 122 · 244 · 353 · 488 · 706 · 1412 · 2824 · 21533 · 43066 · 86132 (half) · 172264
Aliquot sum (sum of proper divisors): 156,956
Factor pairs (a × b = 172,264)
1 × 172264
2 × 86132
4 × 43066
8 × 21533
61 × 2824
122 × 1412
244 × 706
353 × 488
First multiples
172,264 · 344,528 (double) · 516,792 · 689,056 · 861,320 · 1,033,584 · 1,205,848 · 1,378,112 · 1,550,376 · 1,722,640

Sums & aliquot sequence

As a sum of two squares: 142² + 390² = 210² + 358²
As consecutive integers: 10,759 + 10,760 + … + 10,774 2,794 + 2,795 + … + 2,854 312 + 313 + … + 664
Aliquot sequence: 172,264 156,956 117,724 99,276 132,396 230,484 307,340 407,668 305,758 152,882 76,444 62,156 49,564 37,180 55,052 41,296 42,404 — unresolved within range

Continued fraction of √n

√172,264 = [415; (21, 3, 1, 1, 7, 1, 2, 1, 2, 2, 4, 1, 1, 13, 3, 1, 1, 12, 4, 1, 54, 1, 1, 6, …)]

Representations

In words
one hundred seventy-two thousand two hundred sixty-four
Ordinal
172264th
Binary
101010000011101000
Octal
520350
Hexadecimal
0x2A0E8
Base64
AqDo
One's complement
4,294,795,031 (32-bit)
Scientific notation
1.72264 × 10⁵
As a duration
172,264 s = 1 day, 23 hours, 51 minutes, 4 seconds
In other bases
ternary (3) 22202022011
quaternary (4) 222003220
quinary (5) 21003024
senary (6) 3405304
septenary (7) 1315141
nonary (9) 282264
undecimal (11) 108474
duodecimal (12) 83834
tridecimal (13) 60541
tetradecimal (14) 46ac8
pentadecimal (15) 36094

As an angle

172,264° = 478 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροβσξδʹ
Chinese
一十七萬二千二百六十四
Chinese (financial)
壹拾柒萬貳仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٧٢٢٦٤ Devanagari १७२२६४ Bengali ১৭২২৬৪ Tamil ௧௭௨௨௬௪ Thai ๑๗๒๒๖๔ Tibetan ༡༧༢༢༦༤ Khmer ១៧២២៦៤ Lao ໑໗໒໒໖໔ Burmese ၁၇၂၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172264, here are decompositions:

  • 5 + 172259 = 172264
  • 41 + 172223 = 172264
  • 47 + 172217 = 172264
  • 83 + 172181 = 172264
  • 107 + 172157 = 172264
  • 137 + 172127 = 172264
  • 167 + 172097 = 172264
  • 233 + 172031 = 172264

Showing the first eight; more decompositions exist.

Unicode codepoint
𪃨
CJK Unified Ideograph-2A0E8
U+2A0E8
Other letter (Lo)

UTF-8 encoding: F0 AA 83 A8 (4 bytes).

Hex color
#02A0E8
RGB(2, 160, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.232.

Address
0.2.160.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.232

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 172,264 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 172264 first appears in π at position 215,050 of the decimal expansion (the 215,050ordinal-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°.