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173,972

173,972 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.).

173,972 (one hundred seventy-three thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 23 × 31 × 61. Written other ways, in hexadecimal, 0x2A794.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,646
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
279,371
Recamán's sequence
a(189,744) = 173,972
Square (n²)
30,266,256,784
Cube (n³)
5,265,481,225,226,048
Divisor count
24
σ(n) — sum of divisors
333,312
φ(n) — Euler's totient
79,200
Sum of prime factors
119

Primality

Prime factorization: 2 2 × 23 × 31 × 61

Nearest primes: 173,969 (−3) · 173,977 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 23 · 31 · 46 · 61 · 62 · 92 · 122 · 124 · 244 · 713 · 1403 · 1426 · 1891 · 2806 · 2852 · 3782 · 5612 · 7564 · 43493 · 86986 (half) · 173972
Aliquot sum (sum of proper divisors): 159,340
Factor pairs (a × b = 173,972)
1 × 173972
2 × 86986
4 × 43493
23 × 7564
31 × 5612
46 × 3782
61 × 2852
62 × 2806
92 × 1891
122 × 1426
124 × 1403
244 × 713
First multiples
173,972 · 347,944 (double) · 521,916 · 695,888 · 869,860 · 1,043,832 · 1,217,804 · 1,391,776 · 1,565,748 · 1,739,720

Sums & aliquot sequence

As consecutive integers: 21,743 + 21,744 + … + 21,750 7,553 + 7,554 + … + 7,575 5,597 + 5,598 + … + 5,627 2,822 + 2,823 + … + 2,882
Aliquot sequence: 173,972 159,340 187,412 140,566 73,634 46,894 23,450 27,142 14,690 14,038 7,022 3,514 2,534 1,834 1,334 826 614 — unresolved within range

Continued fraction of √n

√173,972 = [417; (10, 20, 4, 16, 1, 3, 2, 51, 1, 2, 3, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 1, 3, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand nine hundred seventy-two
Ordinal
173972nd
Binary
101010011110010100
Octal
523624
Hexadecimal
0x2A794
Base64
AqeU
One's complement
4,294,793,323 (32-bit)
Scientific notation
1.73972 × 10⁵
As a duration
173,972 s = 2 days, 19 minutes, 32 seconds
In other bases
ternary (3) 22211122102
quaternary (4) 222132110
quinary (5) 21031342
senary (6) 3421232
septenary (7) 1323131
nonary (9) 284572
undecimal (11) 109787
duodecimal (12) 84818
tridecimal (13) 61256
tetradecimal (14) 47588
pentadecimal (15) 36832

As an angle

173,972° = 483 × 360° + 92°
92° ≈ 1.606 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρογϡοβʹ
Chinese
一十七萬三千九百七十二
Chinese (financial)
壹拾柒萬參仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٧٣٩٧٢ Devanagari १७३९७२ Bengali ১৭৩৯৭২ Tamil ௧௭௩௯௭௨ Thai ๑๗๓๙๗๒ Tibetan ༡༧༣༩༧༢ Khmer ១៧៣៩៧២ Lao ໑໗໓໙໗໒ Burmese ၁၇၃၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173972, here are decompositions:

  • 3 + 173969 = 173972
  • 193 + 173779 = 173972
  • 199 + 173773 = 173972
  • 229 + 173743 = 173972
  • 313 + 173659 = 173972
  • 373 + 173599 = 173972
  • 433 + 173539 = 173972
  • 499 + 173473 = 173972

Showing the first eight; more decompositions exist.

Unicode codepoint
𪞔
CJK Unified Ideograph-2A794
U+2A794
Other letter (Lo)

UTF-8 encoding: F0 AA 9E 94 (4 bytes).

Hex color
#02A794
RGB(2, 167, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.167.148.

Address
0.2.167.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.167.148

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 173,972 and was likely granted around 1874.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.