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472,122

472,122 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.).

472,122 (four hundred seventy-two thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 7 × 1,249. Its proper divisors sum to 727,878, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7343A.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
224
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
221,274
Square (n²)
222,899,182,884
Cube (n³)
105,235,608,021,559,848
Divisor count
32
σ(n) — sum of divisors
1,200,000
φ(n) — Euler's totient
134,784
Sum of prime factors
1,267

Primality

Prime factorization: 2 × 3 3 × 7 × 1249

Nearest primes: 472,111 (−11) · 472,123 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 126 · 189 · 378 · 1249 · 2498 · 3747 · 7494 · 8743 · 11241 · 17486 · 22482 · 26229 · 33723 · 52458 · 67446 · 78687 · 157374 · 236061 (half) · 472122
Aliquot sum (sum of proper divisors): 727,878
Factor pairs (a × b = 472,122)
1 × 472122
2 × 236061
3 × 157374
6 × 78687
7 × 67446
9 × 52458
14 × 33723
18 × 26229
21 × 22482
27 × 17486
42 × 11241
54 × 8743
63 × 7494
126 × 3747
189 × 2498
378 × 1249
First multiples
472,122 · 944,244 (double) · 1,416,366 · 1,888,488 · 2,360,610 · 2,832,732 · 3,304,854 · 3,776,976 · 4,249,098 · 4,721,220

Sums & aliquot sequence

As consecutive integers: 157,373 + 157,374 + 157,375 118,029 + 118,030 + 118,031 + 118,032 67,443 + 67,444 + … + 67,449 52,454 + 52,455 + … + 52,462
Aliquot sequence: 472,122 727,878 727,890 1,112,430 1,800,978 1,800,990 2,881,818 3,575,952 6,966,528 12,067,200 31,094,100 66,371,450 57,809,218 30,132,662 22,058,218 18,892,790 19,972,522 — unresolved within range

Continued fraction of √n

√472,122 = [687; (8, 1, 51, 1, 28, 3, 1, 7, 2, 1, 1, 1, 2, 1, 24, 1, 2, 1, 1, 1, 2, 7, 1, 3, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand one hundred twenty-two
Ordinal
472122nd
Binary
1110011010000111010
Octal
1632072
Hexadecimal
0x7343A
Base64
BzQ6
One's complement
4,294,495,173 (32-bit)
Scientific notation
4.72122 × 10⁵
As a duration
472,122 s = 5 days, 11 hours, 8 minutes, 42 seconds
In other bases
ternary (3) 212222122000
quaternary (4) 1303100322
quinary (5) 110101442
senary (6) 14041430
septenary (7) 4004310
nonary (9) 788560
undecimal (11) 2a2792
duodecimal (12) 1a9276
tridecimal (13) 136b81
tetradecimal (14) c40b0
pentadecimal (15) 94d4c

As an angle

472,122° = 1,311 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοβρκβʹ
Chinese
四十七萬二千一百二十二
Chinese (financial)
肆拾柒萬貳仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ٤٧٢١٢٢ Devanagari ४७२१२२ Bengali ৪৭২১২২ Tamil ௪௭௨௧௨௨ Thai ๔๗๒๑๒๒ Tibetan ༤༧༢༡༢༢ Khmer ៤៧២១២២ Lao ໔໗໒໑໒໒ Burmese ၄၇၂၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472122, here are decompositions:

  • 11 + 472111 = 472122
  • 19 + 472103 = 472122
  • 59 + 472063 = 472122
  • 71 + 472051 = 472122
  • 103 + 472019 = 472122
  • 163 + 471959 = 472122
  • 173 + 471949 = 472122
  • 179 + 471943 = 472122

Showing the first eight; more decompositions exist.

Hex color
#07343A
RGB(7, 52, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.58.

Address
0.7.52.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.58

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 472,122 and was likely granted around 1891.

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

Position in π

The digit sequence 472122 first appears in π at position 874,415 of the decimal expansion (the 874,415ordinal-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°.