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29,984

29,984 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.).
Deficient Number Evil Number Harshad / Niven Recamán's Sequence Self Number

Properties

Parity
Even
Digit count
5
Digit sum
32
Digit product
5,184
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
48,992
Recamán's sequence
a(161,283) = 29,984
Square (n²)
899,040,256
Cube (n³)
26,956,823,035,904
Divisor count
12
σ(n) — sum of divisors
59,094
φ(n) — Euler's totient
14,976
Sum of prime factors
947

Primality

Prime factorization: 2 5 × 937

Nearest primes: 29,983 (−1) · 29,989 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 937 · 1874 · 3748 · 7496 · 14992 (half) · 29984
Aliquot sum (sum of proper divisors): 29,110
Factor pairs (a × b = 29,984)
1 × 29984
2 × 14992
4 × 7496
8 × 3748
16 × 1874
32 × 937
First multiples
29,984 · 59,968 (double) · 89,952 · 119,936 · 149,920 · 179,904 · 209,888 · 239,872 · 269,856 · 299,840

Sums & aliquot sequence

As a sum of two squares: 20² + 172²
As consecutive integers: 437 + 438 + … + 500
Aliquot sequence: 29,984 29,110 25,322 16,150 17,330 13,882 8,870 7,114 3,560 4,540 5,036 3,784 4,136 4,504 3,956 3,436 2,584 — unresolved within range

Representations

In words
twenty-nine thousand nine hundred eighty-four
Ordinal
29984th
Binary
111010100100000
Octal
72440
Hexadecimal
0x7520
Base64
dSA=
One's complement
35,551 (16-bit)
In other bases
ternary (3) 1112010112
quaternary (4) 13110200
quinary (5) 1424414
senary (6) 350452
septenary (7) 153263
nonary (9) 45115
undecimal (11) 20589
duodecimal (12) 15428
tridecimal (13) 10856
tetradecimal (14) acda
pentadecimal (15) 8d3e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κθϡπδʹ
Mayan (base 20)
𝋣·𝋮·𝋳·𝋤
Chinese
二萬九千九百八十四
Chinese (financial)
貳萬玖仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٢٩٩٨٤ Devanagari २९९८४ Bengali ২৯৯৮৪ Tamil ௨௯௯௮௪ Thai ๒๙๙๘๔ Tibetan ༢༩༩༨༤ Khmer ២៩៩៨៤ Lao ໒໙໙໘໔ Burmese ၂၉၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 29,984 = 6
e — Euler's number (e)
Digit 29,984 = 8
φ — Golden ratio (φ)
Digit 29,984 = 8
√2 — Pythagoras's (√2)
Digit 29,984 = 3
ln 2 — Natural log of 2
Digit 29,984 = 7
γ — Euler-Mascheroni (γ)
Digit 29,984 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 29984, here are decompositions:

  • 37 + 29947 = 29984
  • 67 + 29917 = 29984
  • 103 + 29881 = 29984
  • 151 + 29833 = 29984
  • 181 + 29803 = 29984
  • 223 + 29761 = 29984
  • 313 + 29671 = 29984
  • 373 + 29611 = 29984

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7520
U+7520
Other letter (Lo)

UTF-8 encoding: E7 94 A0 (3 bytes).

Hex color
#007520
RGB(0, 117, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.117.32.

Address
0.0.117.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.117.32

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000029984
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 29984 first appears in π at position 34,267 of the decimal expansion (the 34,267ordinal-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.