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3,948

3,948 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.).
Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
24
Digit product
864
Digital root
6
Palindrome
No
Bit width
12 bits
Reversed
8,493
Recamán's sequence
a(14,495) = 3,948
Square (n²)
15,586,704
Cube (n³)
61,536,307,392
Divisor count
24
σ(n) — sum of divisors
10,752
φ(n) — Euler's totient
1,104
Sum of prime factors
61

Primality

Prime factorization: 2 2 × 3 × 7 × 47

Nearest primes: 3,947 (−1) · 3,967 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 47 · 84 · 94 · 141 · 188 · 282 · 329 · 564 · 658 · 987 · 1316 · 1974 (half) · 3948
Aliquot sum (sum of proper divisors): 6,804
Factor pairs (a × b = 3,948)
1 × 3948
2 × 1974
3 × 1316
4 × 987
6 × 658
7 × 564
12 × 329
14 × 282
21 × 188
28 × 141
42 × 94
47 × 84
First multiples
3,948 · 7,896 (double) · 11,844 · 15,792 · 19,740 · 23,688 · 27,636 · 31,584 · 35,532 · 39,480

Sums & aliquot sequence

As consecutive integers: 1,315 + 1,316 + 1,317 561 + 562 + … + 567 490 + 491 + … + 497 178 + 179 + … + 198
Aliquot sequence: 3,948 6,804 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 9,371,436 12,495,276 20,190,804 26,921,100 55,087,540 — unresolved within range

Representations

In words
three thousand nine hundred forty-eight
Ordinal
3948th
Roman numeral
MMMCMXLVIII
Binary
111101101100
Octal
7554
Hexadecimal
0xF6C
Base64
D2w=
One's complement
61,587 (16-bit)
In other bases
ternary (3) 12102020
quaternary (4) 331230
quinary (5) 111243
senary (6) 30140
septenary (7) 14340
nonary (9) 5366
undecimal (11) 2a6a
duodecimal (12) 2350
tridecimal (13) 1a49
tetradecimal (14) 1620
pentadecimal (15) 1283

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γϡμηʹ
Mayan (base 20)
𝋩·𝋱·𝋨
Chinese
三千九百四十八
Chinese (financial)
參仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ٣٩٤٨ Devanagari ३९४८ Bengali ৩৯৪৮ Tamil ௩௯௪௮ Thai ๓๙๔๘ Tibetan ༣༩༤༨ Khmer ៣៩៤៨ Lao ໓໙໔໘ Burmese ၃၉၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 3,948 = 9
e — Euler's number (e)
Digit 3,948 = 0
φ — Golden ratio (φ)
Digit 3,948 = 9
√2 — Pythagoras's (√2)
Digit 3,948 = 2
ln 2 — Natural log of 2
Digit 3,948 = 9
γ — Euler-Mascheroni (γ)
Digit 3,948 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3948, here are decompositions:

  • 5 + 3943 = 3948
  • 17 + 3931 = 3948
  • 19 + 3929 = 3948
  • 29 + 3919 = 3948
  • 31 + 3917 = 3948
  • 37 + 3911 = 3948
  • 41 + 3907 = 3948
  • 59 + 3889 = 3948

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Letter Rra
U+0F6C
Other letter (Lo)

UTF-8 encoding: E0 BD AC (3 bytes).

Hex color
#000F6C
RGB(0, 15, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.108.

Address
0.0.15.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.108

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 3948 first appears in π at position 8,230 of the decimal expansion (the 8,230ordinal-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.