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972,315

972,315 is a composite number, odd.

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.).

972,315 (nine hundred seventy-two thousand three hundred fifteen) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3² × 5 × 17 × 31 × 41. It is the 1,394th triangular number. Written other ways, in hexadecimal, 0xED61B.

Arithmetic Number Cube-Free Deficient Number Evil Number Triangular

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
1,890
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
513,279
Square (n²)
945,396,459,225
Cube (n³)
919,223,158,251,355,875
Divisor count
48
σ(n) — sum of divisors
1,886,976
φ(n) — Euler's totient
460,800
Sum of prime factors
100

Primality

Prime factorization: 3 2 × 5 × 17 × 31 × 41

Nearest primes: 972,313 (−2) · 972,319 (+4)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 9 · 15 · 17 · 31 · 41 · 45 · 51 · 85 · 93 · 123 · 153 · 155 · 205 · 255 · 279 · 369 · 465 · 527 · 615 · 697 · 765 · 1271 · 1395 · 1581 · 1845 · 2091 · 2635 · 3485 · 3813 · 4743 · 6273 · 6355 · 7905 · 10455 · 11439 · 19065 · 21607 · 23715 · 31365 · 57195 · 64821 · 108035 · 194463 · 324105 · 972315
Aliquot sum (sum of proper divisors): 914,661
Factor pairs (a × b = 972,315)
1 × 972315
3 × 324105
5 × 194463
9 × 108035
15 × 64821
17 × 57195
31 × 31365
41 × 23715
45 × 21607
51 × 19065
85 × 11439
93 × 10455
123 × 7905
153 × 6355
155 × 6273
205 × 4743
255 × 3813
279 × 3485
369 × 2635
465 × 2091
527 × 1845
615 × 1581
697 × 1395
765 × 1271
First multiples
972,315 · 1,944,630 (double) · 2,916,945 · 3,889,260 · 4,861,575 · 5,833,890 · 6,806,205 · 7,778,520 · 8,750,835 · 9,723,150

Sums & aliquot sequence

As consecutive integers: 486,157 + 486,158 324,104 + 324,105 + 324,106 194,461 + 194,462 + 194,463 + 194,464 + 194,465 162,050 + 162,051 + 162,052 + 162,053 + 162,054 + 162,055
Aliquot sequence: 972,315 914,661 526,779 354,933 163,767 57,673 16,199 265 59 1 0 — terminates at zero

Continued fraction of √n

√972,315 = [986; (16, 1, 1, 2, 1, 39, 1, 1, 7, 2, 1, 5, 1, 2, 7, 1, 1, 39, 1, 2, 1, 1, 16, 1972)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-two thousand three hundred fifteen
Ordinal
972315th
Binary
11101101011000011011
Octal
3553033
Hexadecimal
0xED61B
Base64
DtYb
One's complement
4,293,994,980 (32-bit)
Scientific notation
9.72315 × 10⁵
As a duration
972,315 s = 11 days, 6 hours, 5 minutes, 15 seconds
In other bases
ternary (3) 1211101202200
quaternary (4) 3231120123
quinary (5) 222103230
senary (6) 32501243
septenary (7) 11156511
nonary (9) 1741680
undecimal (11) 604573
duodecimal (12) 3aa823
tridecimal (13) 280746
tetradecimal (14) 1b44b1
pentadecimal (15) 143160
Palindromic in base 14

As an angle

972,315° = 2,700 × 360° + 315°
315° ≈ 5.498 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοβτιεʹ
Chinese
九十七萬二千三百一十五
Chinese (financial)
玖拾柒萬貳仟參佰壹拾伍
In other modern scripts
Eastern Arabic ٩٧٢٣١٥ Devanagari ९७२३१५ Bengali ৯৭২৩১৫ Tamil ௯௭௨௩௧௫ Thai ๙๗๒๓๑๕ Tibetan ༩༧༢༣༡༥ Khmer ៩៧២៣១៥ Lao ໙໗໒໓໑໕ Burmese ၉၇၂၃၁၅

Also seen as

Hex color
#0ED61B
RGB(14, 214, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.214.27.

Address
0.14.214.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.214.27

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 972,315 and was likely granted around 1910.

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

Related reading

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.