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31,461,984

31,461,984 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.).

31,461,984 (thirty-one million four hundred sixty-one thousand nine hundred eighty-four) is an even 8-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 29 × 3,767. Its proper divisors sum to 61,117,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E01260.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
8
Digit sum
36
Digit product
20,736
Digital root
9
Palindrome
No
Bit width
25 bits
Reversed
48,916,413
Square (n²)
989,856,437,216,256
Divisor count
72
σ(n) — sum of divisors
92,579,760
φ(n) — Euler's totient
10,123,008
Sum of prime factors
3,812

Primality

Prime factorization: 2 5 × 3 2 × 29 × 3767

Nearest primes: 31,461,979 (−5) · 31,462,003 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 29 · 32 · 36 · 48 · 58 · 72 · 87 · 96 · 116 · 144 · 174 · 232 · 261 · 288 · 348 · 464 · 522 · 696 · 928 · 1044 · 1392 · 2088 · 2784 · 3767 · 4176 · 7534 · 8352 · 11301 · 15068 · 22602 · 30136 · 33903 · 45204 · 60272 · 67806 · 90408 · 109243 · 120544 · 135612 · 180816 · 218486 · 271224 · 327729 · 361632 · 436972 · 542448 · 655458 · 873944 · 983187 · 1084896 · 1310916 · 1747888 · 1966374 · 2621832 · 3495776 · 3932748 · 5243664 · 7865496 · 10487328 · 15730992 (half) · 31461984
Aliquot sum (sum of proper divisors): 61,117,776
Factor pairs (a × b = 31,461,984)
1 × 31461984
2 × 15730992
3 × 10487328
4 × 7865496
6 × 5243664
8 × 3932748
9 × 3495776
12 × 2621832
16 × 1966374
18 × 1747888
24 × 1310916
29 × 1084896
32 × 983187
36 × 873944
48 × 655458
58 × 542448
72 × 436972
87 × 361632
96 × 327729
116 × 271224
144 × 218486
174 × 180816
232 × 135612
261 × 120544
288 × 109243
348 × 90408
464 × 67806
522 × 60272
696 × 45204
928 × 33903
1044 × 30136
1392 × 22602
2088 × 15068
2784 × 11301
3767 × 8352
4176 × 7534
First multiples
31,461,984 · 62,923,968 (double) · 94,385,952 · 125,847,936 · 157,309,920 · 188,771,904 · 220,233,888 · 251,695,872 · 283,157,856 · 314,619,840

Sums & aliquot sequence

As consecutive integers: 10,487,327 + 10,487,328 + 10,487,329 3,495,772 + 3,495,773 + … + 3,495,780 1,084,882 + 1,084,883 + … + 1,084,910 491,562 + 491,563 + … + 491,625
Aliquot sequence: 31,461,984 61,117,776 109,927,514 55,011,706 29,424,998 14,712,502 11,606,090 10,719,670 10,177,466 6,263,098 3,131,552 3,033,754 1,627,994 814,000 1,391,216 1,304,296 1,490,744 — unresolved within range

Continued fraction of √n

√31,461,984 = [5609; (10, 5, 1, 6, 2, 1, 5, 1, 4, 2, 1, 2, 1, 5, 2, 1, 2, 1, 1, 5, 1, 4, 1, 1, …)]

Representations

In words
thirty-one million four hundred sixty-one thousand nine hundred eighty-four
Ordinal
31461984th
Binary
1111000000001001001100000
Octal
170011140
Hexadecimal
0x1E01260
Base64
AeASYA==
One's complement
4,263,505,311 (32-bit)
Scientific notation
3.1461984 × 10⁷
As a duration
31,461,984 s = 364 days, 3 hours, 26 minutes, 24 seconds
In other bases
ternary (3) 2012012102201200
quaternary (4) 1320001021200
quinary (5) 31023240414
senary (6) 3042201200
septenary (7) 531264621
nonary (9) 65172650
undecimal (11) 16839944
duodecimal (12) a653200
tridecimal (13) 6697578
tetradecimal (14) 426da48
pentadecimal (15) 2b67109

As an angle

31,461,984° = 87,394 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Chinese
三千一百四十六萬一千九百八十四
Chinese (financial)
參仟壹佰肆拾陸萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٣١٤٦١٩٨٤ Devanagari ३१४६१९८४ Bengali ৩১৪৬১৯৮৪ Tamil ௩௧௪௬௧௯௮௪ Thai ๓๑๔๖๑๙๘๔ Tibetan ༣༡༤༦༡༩༨༤ Khmer ៣១៤៦១៩៨៤ Lao ໓໑໔໖໑໙໘໔ Burmese ၃၁၄၆၁၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31461984, here are decompositions:

  • 5 + 31461979 = 31461984
  • 7 + 31461977 = 31461984
  • 23 + 31461961 = 31461984
  • 41 + 31461943 = 31461984
  • 61 + 31461923 = 31461984
  • 97 + 31461887 = 31461984
  • 167 + 31461817 = 31461984
  • 173 + 31461811 = 31461984

Showing the first eight; more decompositions exist.

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 1.224.18.96.

Address
1.224.18.96
Class
public
IPv4-mapped IPv6
::ffff:1.224.18.96

Public, routable address (assignable to a host on the internet).