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33,828

33,828 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 Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
82,833
Recamán's sequence
a(24,351) = 33,828
Square (n²)
1,144,333,584
Cube (n³)
38,710,516,479,552
Divisor count
12
σ(n) — sum of divisors
78,960
φ(n) — Euler's totient
11,272
Sum of prime factors
2,826

Primality

Prime factorization: 2 2 × 3 × 2819

Nearest primes: 33,827 (−1) · 33,829 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 2819 · 5638 · 8457 · 11276 · 16914 (half) · 33828
Aliquot sum (sum of proper divisors): 45,132
Factor pairs (a × b = 33,828)
1 × 33828
2 × 16914
3 × 11276
4 × 8457
6 × 5638
12 × 2819
First multiples
33,828 · 67,656 (double) · 101,484 · 135,312 · 169,140 · 202,968 · 236,796 · 270,624 · 304,452 · 338,280

Sums & aliquot sequence

As consecutive integers: 11,275 + 11,276 + 11,277 4,225 + 4,226 + … + 4,232 1,398 + 1,399 + … + 1,421
Aliquot sequence: 33,828 45,132 60,204 85,956 149,244 199,020 381,588 508,812 692,388 1,118,498 688,126 436,370 420,718 210,362 108,454 55,634 27,820 — unresolved within range

Representations

In words
thirty-three thousand eight hundred twenty-eight
Ordinal
33828th
Binary
1000010000100100
Octal
102044
Hexadecimal
0x8424
Base64
hCQ=
One's complement
31,707 (16-bit)
In other bases
ternary (3) 1201101220
quaternary (4) 20100210
quinary (5) 2040303
senary (6) 420340
septenary (7) 200424
nonary (9) 51356
undecimal (11) 23463
duodecimal (12) 176b0
tridecimal (13) 12522
tetradecimal (14) c484
pentadecimal (15) a053

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵λγωκηʹ
Mayan (base 20)
𝋤·𝋤·𝋫·𝋨
Chinese
三萬三千八百二十八
Chinese (financial)
參萬參仟捌佰貳拾捌
In other modern scripts
Eastern Arabic ٣٣٨٢٨ Devanagari ३३८२८ Bengali ৩৩৮২৮ Tamil ௩௩௮௨௮ Thai ๓๓๘๒๘ Tibetan ༣༣༨༢༨ Khmer ៣៣៨២៨ Lao ໓໓໘໒໘ Burmese ၃၃၈၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 33,828 = 7
e — Euler's number (e)
Digit 33,828 = 3
φ — Golden ratio (φ)
Digit 33,828 = 3
√2 — Pythagoras's (√2)
Digit 33,828 = 1
ln 2 — Natural log of 2
Digit 33,828 = 8
γ — Euler-Mascheroni (γ)
Digit 33,828 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33828, here are decompositions:

  • 17 + 33811 = 33828
  • 19 + 33809 = 33828
  • 31 + 33797 = 33828
  • 37 + 33791 = 33828
  • 59 + 33769 = 33828
  • 61 + 33767 = 33828
  • 71 + 33757 = 33828
  • 79 + 33749 = 33828

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-8424
U+8424
Other letter (Lo)

UTF-8 encoding: E8 90 A4 (3 bytes).

Hex color
#008424
RGB(0, 132, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.132.36.

Address
0.0.132.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.132.36

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
000033828
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 33828 first appears in π at position 215,854 of the decimal expansion (the 215,854ordinal-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.