Live analysis

172,000

172,000 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.).

172,000 (one hundred seventy-two thousand) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 43. Its proper divisors sum to 260,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29FE0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

171,988 171,989 171,990 171,991 171,992 171,993 171,994 171,995 171,996 171,997 171,998 171,999 172,000 172,001 172,002 172,003 172,004 172,005 172,006 172,007 172,008 172,009 172,010 172,011 172,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 18 bits
Reversed: 271
Recamán's sequence: a(191,764) = 172,000
Square (n²): 29,584,000,000
Cube (n³): 5,088,448,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 432,432
φ(n) — Euler's totient: 67,200
Sum of prime factors: 68

Primality

Prime factorization: 2 ⁵ × 5 ³ × 43

Nearest primes: 171,947 (−53) · 172,001 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 43 · 50 · 80 · 86 · 100 · 125 · 160 · 172 · 200 · 215 · 250 · 344 · 400 · 430 · 500 · 688 · 800 · 860 · 1000 · 1075 · 1376 · 1720 · 2000 · 2150 · 3440 · 4000 · 4300 · 5375 · 6880 · 8600 · 10750 · 17200 · 21500 · 34400 · 43000 · 86000 (half) · 172000

Aliquot sum (sum of proper divisors): 260,432

Factor pairs (a × b = 172,000)

1 × 172000

2 × 86000

4 × 43000

5 × 34400

8 × 21500

10 × 17200

16 × 10750

20 × 8600

25 × 6880

32 × 5375

40 × 4300

43 × 4000

50 × 3440

80 × 2150

86 × 2000

100 × 1720

125 × 1376

160 × 1075

172 × 1000

200 × 860

215 × 800

250 × 688

344 × 500

400 × 430

First multiples

172,000 · 344,000 (double) · 516,000 · 688,000 · 860,000 · 1,032,000 · 1,204,000 · 1,376,000 · 1,548,000 · 1,720,000

Sums & aliquot sequence

As consecutive integers: 34,398 + 34,399 + 34,400 + 34,401 + 34,402 6,868 + 6,869 + … + 6,892 3,979 + 3,980 + … + 4,021 2,656 + 2,657 + … + 2,719

Aliquot sequence: 172,000 → 260,432 → 257,764 → 228,120 → 456,600 → 960,720 → 2,018,256 → 3,472,464 → 5,630,128 → 7,574,384 → 7,964,800 → 12,904,400 → 18,099,382 → 12,928,154 → 6,749,572 → 5,062,186 → 2,531,096 — unresolved within range

Continued fraction of √n

√172,000 = [414; (1, 2, 1, 2, 4, 1, 20, 2, 5, 207, 5, 2, 20, 1, 4, 2, 1, 2, 1, 828)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one hundred seventy-two thousand
Ordinal: 172000th
Binary: 101001111111100000
Octal: 517740
Hexadecimal: 0x29FE0
Base64: Ap/g
One's complement: 4,294,795,295 (32-bit)
Scientific notation: 1.72 × 10⁵
As a duration: 172,000 s = 1 day, 23 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 22201221101

quaternary (4) 221333200

quinary (5) 21001000

senary (6) 3404144

septenary (7) 1314313

nonary (9) 281841

undecimal (11) 108254

duodecimal (12) 83654

tridecimal (13) 6039a

tetradecimal (14) 4697a

pentadecimal (15) 35e6a

As an angle

172,000° = 477 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼
Greek (Milesian): ͵ροβ
Chinese: 一十七萬二千
Chinese (financial): 壹拾柒萬貳仟

In other modern scripts

Eastern Arabic ١٧٢٠٠٠ Devanagari १७२००० Bengali ১৭২০০০ Tamil ௧௭௨௦௦௦ Thai ๑๗๒๐๐๐ Tibetan ༡༧༢༠༠༠ Khmer ១៧២០០០ Lao ໑໗໒໐໐໐ Burmese ၁၇၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172000, here are decompositions:

53 + 171947 = 172000
71 + 171929 = 172000
83 + 171917 = 172000
131 + 171869 = 172000
137 + 171863 = 172000
149 + 171851 = 172000
173 + 171827 = 172000
197 + 171803 = 172000

Showing the first eight; more decompositions exist.

Unicode codepoint

𩿠

CJK Unified Ideograph-29Fe0

U+29FE0

Other letter (Lo)

UTF-8 encoding: F0 A9 BF A0 (4 bytes).

Lookup U+29FE0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#029FE0

RGB(2, 159, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.159.224.

Address: 0.2.159.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.159.224

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 172,000 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US172,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 172000 first appears in π at position 509,939 of the decimal expansion (the 509,939ordinal-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.

Look up 172000 on Pi Search ↗