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172,072

172,072 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.).

172,072 (one hundred seventy-two thousand seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 137 × 157. Written other ways, in hexadecimal, 0x2A028.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
270,271
Recamán's sequence
a(191,620) = 172,072
Square (n²)
29,608,773,184
Cube (n³)
5,094,840,819,317,248
Divisor count
16
σ(n) — sum of divisors
327,060
φ(n) — Euler's totient
84,864
Sum of prime factors
300

Primality

Prime factorization: 2 3 × 137 × 157

Nearest primes: 172,069 (−3) · 172,079 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 137 · 157 · 274 · 314 · 548 · 628 · 1096 · 1256 · 21509 · 43018 · 86036 (half) · 172072
Aliquot sum (sum of proper divisors): 154,988
Factor pairs (a × b = 172,072)
1 × 172072
2 × 86036
4 × 43018
8 × 21509
137 × 1256
157 × 1096
274 × 628
314 × 548
First multiples
172,072 · 344,144 (double) · 516,216 · 688,288 · 860,360 · 1,032,432 · 1,204,504 · 1,376,576 · 1,548,648 · 1,720,720

Sums & aliquot sequence

As a sum of two squares: 26² + 414² = 246² + 334²
As consecutive integers: 10,747 + 10,748 + … + 10,762 1,188 + 1,189 + … + 1,324 1,018 + 1,019 + … + 1,174
Aliquot sequence: 172,072 154,988 116,248 121,712 114,136 119,504 172,144 229,616 222,736 208,846 135,890 112,942 58,058 62,902 44,954 42,886 23,138 — unresolved within range

Continued fraction of √n

√172,072 = [414; (1, 4, 2, 2, 1, 3, 2, 2, 1, 1, 20, 1, 2, 4, 1, 47, 1, 91, 4, 1, 22, 4, 11, 1, …)]

Representations

In words
one hundred seventy-two thousand seventy-two
Ordinal
172072nd
Binary
101010000000101000
Octal
520050
Hexadecimal
0x2A028
Base64
AqAo
One's complement
4,294,795,223 (32-bit)
Scientific notation
1.72072 × 10⁵
As a duration
172,072 s = 1 day, 23 hours, 47 minutes, 52 seconds
In other bases
ternary (3) 22202001001
quaternary (4) 222000220
quinary (5) 21001242
senary (6) 3404344
septenary (7) 1314445
nonary (9) 282031
undecimal (11) 10830a
duodecimal (12) 836b4
tridecimal (13) 60424
tetradecimal (14) 469cc
pentadecimal (15) 35eb7

As an angle

172,072° = 477 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροβοβʹ
Chinese
一十七萬二千零七十二
Chinese (financial)
壹拾柒萬貳仟零柒拾貳
In other modern scripts
Eastern Arabic ١٧٢٠٧٢ Devanagari १७२०७२ Bengali ১৭২০৭২ Tamil ௧௭௨௦௭௨ Thai ๑๗๒๐๗๒ Tibetan ༡༧༢༠༧༢ Khmer ១៧២០៧២ Lao ໑໗໒໐໗໒ Burmese ၁၇၂၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172072, here are decompositions:

  • 3 + 172069 = 172072
  • 23 + 172049 = 172072
  • 41 + 172031 = 172072
  • 71 + 172001 = 172072
  • 149 + 171923 = 172072
  • 191 + 171881 = 172072
  • 269 + 171803 = 172072
  • 311 + 171761 = 172072

Showing the first eight; more decompositions exist.

Unicode codepoint
𪀨
CJK Unified Ideograph-2A028
U+2A028
Other letter (Lo)

UTF-8 encoding: F0 AA 80 A8 (4 bytes).

Hex color
#02A028
RGB(2, 160, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.40.

Address
0.2.160.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.40

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 172,072 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 172072 first appears in π at position 607,047 of the decimal expansion (the 607,047ordinal-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°.