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172,448

172,448 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.).

172,448 (one hundred seventy-two thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 17 × 317. Its proper divisors sum to 188,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A1A0.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,792
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
844,271
Recamán's sequence
a(190,868) = 172,448
Square (n²)
29,738,312,704
Cube (n³)
5,128,312,549,179,392
Divisor count
24
σ(n) — sum of divisors
360,612
φ(n) — Euler's totient
80,896
Sum of prime factors
344

Primality

Prime factorization: 2 5 × 17 × 317

Nearest primes: 172,441 (−7) · 172,489 (+41)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 68 · 136 · 272 · 317 · 544 · 634 · 1268 · 2536 · 5072 · 5389 · 10144 · 10778 · 21556 · 43112 · 86224 (half) · 172448
Aliquot sum (sum of proper divisors): 188,164
Factor pairs (a × b = 172,448)
1 × 172448
2 × 86224
4 × 43112
8 × 21556
16 × 10778
17 × 10144
32 × 5389
34 × 5072
68 × 2536
136 × 1268
272 × 634
317 × 544
First multiples
172,448 · 344,896 (double) · 517,344 · 689,792 · 862,240 · 1,034,688 · 1,207,136 · 1,379,584 · 1,552,032 · 1,724,480

Sums & aliquot sequence

As a sum of two squares: 52² + 412² = 148² + 388²
As consecutive integers: 10,136 + 10,137 + … + 10,152 2,663 + 2,664 + … + 2,726 386 + 387 + … + 702
Aliquot sequence: 172,448 188,164 141,130 136,214 92,266 46,136 42,664 37,346 19,678 9,842 8,398 6,722 3,364 2,733 915 573 195 — unresolved within range

Continued fraction of √n

√172,448 = [415; (3, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 51, 4, 1, 8, 1, 1, 7, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand four hundred forty-eight
Ordinal
172448th
Binary
101010000110100000
Octal
520640
Hexadecimal
0x2A1A0
Base64
AqGg
One's complement
4,294,794,847 (32-bit)
Scientific notation
1.72448 × 10⁵
As a duration
172,448 s = 1 day, 23 hours, 54 minutes, 8 seconds
In other bases
ternary (3) 22202112222
quaternary (4) 222012200
quinary (5) 21004243
senary (6) 3410212
septenary (7) 1315523
nonary (9) 282488
undecimal (11) 108621
duodecimal (12) 83968
tridecimal (13) 60653
tetradecimal (14) 46bba
pentadecimal (15) 36168

As an angle

172,448° = 479 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροβυμηʹ
Chinese
一十七萬二千四百四十八
Chinese (financial)
壹拾柒萬貳仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٧٢٤٤٨ Devanagari १७२४४८ Bengali ১৭২৪৪৮ Tamil ௧௭௨௪௪௮ Thai ๑๗๒๔๔๘ Tibetan ༡༧༢༤༤༨ Khmer ១៧២៤៤៨ Lao ໑໗໒໔໔໘ Burmese ၁၇၂၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172448, here are decompositions:

  • 7 + 172441 = 172448
  • 37 + 172411 = 172448
  • 97 + 172351 = 172448
  • 127 + 172321 = 172448
  • 151 + 172297 = 172448
  • 229 + 172219 = 172448
  • 277 + 172171 = 172448
  • 379 + 172069 = 172448

Showing the first eight; more decompositions exist.

Unicode codepoint
𪆠
CJK Unified Ideograph-2A1A0
U+2A1A0
Other letter (Lo)

UTF-8 encoding: F0 AA 86 A0 (4 bytes).

Hex color
#02A1A0
RGB(2, 161, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.160.

Address
0.2.161.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.161.160

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 172,448 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°.