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172,772

172,772 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.).

172,772 (one hundred seventy-two thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 47 × 919. Written other ways, in hexadecimal, 0x2A2E4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,372
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
277,271
Square (n²)
29,850,163,984
Cube (n³)
5,157,272,531,843,648
Divisor count
12
σ(n) — sum of divisors
309,120
φ(n) — Euler's totient
84,456
Sum of prime factors
970

Primality

Prime factorization: 2 2 × 47 × 919

Nearest primes: 172,759 (−13) · 172,787 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 47 · 94 · 188 · 919 · 1838 · 3676 · 43193 · 86386 (half) · 172772
Aliquot sum (sum of proper divisors): 136,348
Factor pairs (a × b = 172,772)
1 × 172772
2 × 86386
4 × 43193
47 × 3676
94 × 1838
188 × 919
First multiples
172,772 · 345,544 (double) · 518,316 · 691,088 · 863,860 · 1,036,632 · 1,209,404 · 1,382,176 · 1,554,948 · 1,727,720

Sums & aliquot sequence

As consecutive integers: 21,593 + 21,594 + … + 21,600 3,653 + 3,654 + … + 3,699 272 + 273 + … + 647
Aliquot sequence: 172,772 136,348 105,572 79,186 47,912 44,428 36,212 33,004 26,580 48,012 64,044 102,276 163,164 217,580 314,644 286,124 218,380 — unresolved within range

Continued fraction of √n

√172,772 = [415; (1, 1, 1, 12, 1, 25, 19, 3, 2, 1, 1, 12, 2, 2, 43, 2, 1, 5, 1, 4, 1, 2, 1, 2, …)]

Representations

In words
one hundred seventy-two thousand seven hundred seventy-two
Ordinal
172772nd
Binary
101010001011100100
Octal
521344
Hexadecimal
0x2A2E4
Base64
AqLk
One's complement
4,294,794,523 (32-bit)
Scientific notation
1.72772 × 10⁵
As a duration
172,772 s = 1 day, 23 hours, 59 minutes, 32 seconds
In other bases
ternary (3) 22202222222
quaternary (4) 222023210
quinary (5) 21012042
senary (6) 3411512
septenary (7) 1316465
nonary (9) 282888
undecimal (11) 108896
duodecimal (12) 83b98
tridecimal (13) 60842
tetradecimal (14) 46d6c
pentadecimal (15) 362d2

As an angle

172,772° = 479 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροβψοβʹ
Chinese
一十七萬二千七百七十二
Chinese (financial)
壹拾柒萬貳仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٧٢٧٧٢ Devanagari १७२७७२ Bengali ১৭২৭৭২ Tamil ௧௭௨௭௭௨ Thai ๑๗๒๗๗๒ Tibetan ༡༧༢༧༧༢ Khmer ១៧២៧៧២ Lao ໑໗໒໗໗໒ Burmese ၁၇၂၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172772, here are decompositions:

  • 13 + 172759 = 172772
  • 31 + 172741 = 172772
  • 109 + 172663 = 172772
  • 139 + 172633 = 172772
  • 199 + 172573 = 172772
  • 211 + 172561 = 172772
  • 283 + 172489 = 172772
  • 331 + 172441 = 172772

Showing the first eight; more decompositions exist.

Unicode codepoint
𪋤
CJK Unified Ideograph-2A2E4
U+2A2E4
Other letter (Lo)

UTF-8 encoding: F0 AA 8B A4 (4 bytes).

Hex color
#02A2E4
RGB(2, 162, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.162.228.

Address
0.2.162.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.162.228

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 172,772 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 172772 first appears in π at position 67,916 of the decimal expansion (the 67,916ordinal-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°.