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172,272

172,272 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.).

172,272 (one hundred seventy-two thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 37 × 97. Its proper divisors sum to 289,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A0F0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
392
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
272,271
Recamán's sequence
a(191,220) = 172,272
Square (n²)
29,677,641,984
Cube (n³)
5,112,626,739,867,648
Divisor count
40
σ(n) — sum of divisors
461,776
φ(n) — Euler's totient
55,296
Sum of prime factors
145

Primality

Prime factorization: 2 4 × 3 × 37 × 97

Nearest primes: 172,259 (−13) · 172,279 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 37 · 48 · 74 · 97 · 111 · 148 · 194 · 222 · 291 · 296 · 388 · 444 · 582 · 592 · 776 · 888 · 1164 · 1552 · 1776 · 2328 · 3589 · 4656 · 7178 · 10767 · 14356 · 21534 · 28712 · 43068 · 57424 · 86136 (half) · 172272
Aliquot sum (sum of proper divisors): 289,504
Factor pairs (a × b = 172,272)
1 × 172272
2 × 86136
3 × 57424
4 × 43068
6 × 28712
8 × 21534
12 × 14356
16 × 10767
24 × 7178
37 × 4656
48 × 3589
74 × 2328
97 × 1776
111 × 1552
148 × 1164
194 × 888
222 × 776
291 × 592
296 × 582
388 × 444
First multiples
172,272 · 344,544 (double) · 516,816 · 689,088 · 861,360 · 1,033,632 · 1,205,904 · 1,378,176 · 1,550,448 · 1,722,720

Sums & aliquot sequence

As consecutive integers: 57,423 + 57,424 + 57,425 5,368 + 5,369 + … + 5,399 4,638 + 4,639 + … + 4,674 1,747 + 1,748 + … + 1,842
Aliquot sequence: 172,272 289,504 292,616 264,184 231,176 261,304 235,496 206,074 182,726 93,298 46,652 36,508 27,388 22,004 16,510 15,746 7,876 — unresolved within range

Continued fraction of √n

√172,272 = [415; (17, 1, 1, 1, 18, 4, 1, 6, 17, 6, 1, 4, 18, 1, 1, 1, 17, 830)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand two hundred seventy-two
Ordinal
172272nd
Binary
101010000011110000
Octal
520360
Hexadecimal
0x2A0F0
Base64
AqDw
One's complement
4,294,795,023 (32-bit)
Scientific notation
1.72272 × 10⁵
As a duration
172,272 s = 1 day, 23 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 22202022110
quaternary (4) 222003300
quinary (5) 21003042
senary (6) 3405320
septenary (7) 1315152
nonary (9) 282273
undecimal (11) 108481
duodecimal (12) 83840
tridecimal (13) 60549
tetradecimal (14) 46ad2
pentadecimal (15) 3609c

As an angle

172,272° = 478 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροβσοβʹ
Chinese
一十七萬二千二百七十二
Chinese (financial)
壹拾柒萬貳仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٧٢٢٧٢ Devanagari १७२२७२ Bengali ১৭২২৭২ Tamil ௧௭௨௨௭௨ Thai ๑๗๒๒๗๒ Tibetan ༡༧༢༢༧༢ Khmer ១៧២២៧២ Lao ໑໗໒໒໗໒ Burmese ၁၇၂၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172272, here are decompositions:

  • 13 + 172259 = 172272
  • 29 + 172243 = 172272
  • 53 + 172219 = 172272
  • 59 + 172213 = 172272
  • 73 + 172199 = 172272
  • 101 + 172171 = 172272
  • 103 + 172169 = 172272
  • 179 + 172093 = 172272

Showing the first eight; more decompositions exist.

Unicode codepoint
𪃰
CJK Unified Ideograph-2A0F0
U+2A0F0
Other letter (Lo)

UTF-8 encoding: F0 AA 83 B0 (4 bytes).

Hex color
#02A0F0
RGB(2, 160, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.240.

Address
0.2.160.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.240

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 172,272 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 172272 first appears in π at position 85,451 of the decimal expansion (the 85,451ordinal-suffix:st 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°.