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972,348

972,348 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.).

972,348 (nine hundred seventy-two thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 13 × 23 × 271. Its proper divisors sum to 1,586,628, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED63C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
12,096
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
843,279
Square (n²)
945,460,633,104
Cube (n³)
919,316,755,677,408,192
Divisor count
48
σ(n) — sum of divisors
2,558,976
φ(n) — Euler's totient
285,120
Sum of prime factors
314

Primality

Prime factorization: 2 2 × 3 × 13 × 23 × 271

Nearest primes: 972,347 (−1) · 972,353 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 23 · 26 · 39 · 46 · 52 · 69 · 78 · 92 · 138 · 156 · 271 · 276 · 299 · 542 · 598 · 813 · 897 · 1084 · 1196 · 1626 · 1794 · 3252 · 3523 · 3588 · 6233 · 7046 · 10569 · 12466 · 14092 · 18699 · 21138 · 24932 · 37398 · 42276 · 74796 · 81029 · 162058 · 243087 · 324116 · 486174 (half) · 972348
Aliquot sum (sum of proper divisors): 1,586,628
Factor pairs (a × b = 972,348)
1 × 972348
2 × 486174
3 × 324116
4 × 243087
6 × 162058
12 × 81029
13 × 74796
23 × 42276
26 × 37398
39 × 24932
46 × 21138
52 × 18699
69 × 14092
78 × 12466
92 × 10569
138 × 7046
156 × 6233
271 × 3588
276 × 3523
299 × 3252
542 × 1794
598 × 1626
813 × 1196
897 × 1084
First multiples
972,348 · 1,944,696 (double) · 2,917,044 · 3,889,392 · 4,861,740 · 5,834,088 · 6,806,436 · 7,778,784 · 8,751,132 · 9,723,480

Sums & aliquot sequence

As consecutive integers: 324,115 + 324,116 + 324,117 121,540 + 121,541 + … + 121,547 74,790 + 74,791 + … + 74,802 42,265 + 42,266 + … + 42,287
Aliquot sequence: 972,348 1,586,628 2,682,252 4,097,976 6,147,024 10,956,048 17,347,200 44,628,000 101,612,640 218,468,688 378,070,512 675,195,408 1,250,088,732 2,209,367,268 3,426,663,132 5,235,179,876 4,498,457,044 — unresolved within range

Continued fraction of √n

√972,348 = [986; (12, 1, 37, 1, 2, 1, 17, 1, 2, 6, 2, 15, 1, 5, 13, 1, 1, 1, 1, 1, 6, 1, 6, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-two thousand three hundred forty-eight
Ordinal
972348th
Binary
11101101011000111100
Octal
3553074
Hexadecimal
0xED63C
Base64
DtY8
One's complement
4,293,994,947 (32-bit)
Scientific notation
9.72348 × 10⁵
As a duration
972,348 s = 11 days, 6 hours, 5 minutes, 48 seconds
In other bases
ternary (3) 1211101210220
quaternary (4) 3231120330
quinary (5) 222103343
senary (6) 32501340
septenary (7) 11156556
nonary (9) 1741726
undecimal (11) 6045a3
duodecimal (12) 3aa850
tridecimal (13) 280770
tetradecimal (14) 1b44d6
pentadecimal (15) 143183

As an angle

972,348° = 2,700 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοβτμηʹ
Chinese
九十七萬二千三百四十八
Chinese (financial)
玖拾柒萬貳仟參佰肆拾捌
In other modern scripts
Eastern Arabic ٩٧٢٣٤٨ Devanagari ९७२३४८ Bengali ৯৭২৩৪৮ Tamil ௯௭௨௩௪௮ Thai ๙๗๒๓๔๘ Tibetan ༩༧༢༣༤༨ Khmer ៩៧២៣៤៨ Lao ໙໗໒໓໔໘ Burmese ၉၇၂၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972348, here are decompositions:

  • 5 + 972343 = 972348
  • 11 + 972337 = 972348
  • 19 + 972329 = 972348
  • 29 + 972319 = 972348
  • 71 + 972277 = 972348
  • 89 + 972259 = 972348
  • 127 + 972221 = 972348
  • 149 + 972199 = 972348

Showing the first eight; more decompositions exist.

Hex color
#0ED63C
RGB(14, 214, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.214.60.

Address
0.14.214.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.214.60

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 972,348 and was likely granted around 1910.

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

Position in π

The digit sequence 972348 first appears in π at position 482,353 of the decimal expansion (the 482,353ordinal-suffix:rd 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°.