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138,996

138,996 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.).

138,996 (one hundred thirty-eight thousand nine hundred ninety-six) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3⁵ × 11 × 13. Its proper divisors sum to 289,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EF4.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
11,664
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
699,831
Recamán's sequence
a(490,835) = 138,996
Square (n²)
19,319,888,016
Cube (n³)
2,685,387,154,671,936
Divisor count
72
σ(n) — sum of divisors
428,064
φ(n) — Euler's totient
38,880
Sum of prime factors
43

Primality

Prime factorization: 2 2 × 3 5 × 11 × 13

Nearest primes: 138,977 (−19) · 139,021 (+25)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 13 · 18 · 22 · 26 · 27 · 33 · 36 · 39 · 44 · 52 · 54 · 66 · 78 · 81 · 99 · 108 · 117 · 132 · 143 · 156 · 162 · 198 · 234 · 243 · 286 · 297 · 324 · 351 · 396 · 429 · 468 · 486 · 572 · 594 · 702 · 858 · 891 · 972 · 1053 · 1188 · 1287 · 1404 · 1716 · 1782 · 2106 · 2574 · 2673 · 3159 · 3564 · 3861 · 4212 · 5148 · 5346 · 6318 · 7722 · 10692 · 11583 · 12636 · 15444 · 23166 · 34749 · 46332 · 69498 (half) · 138996
Aliquot sum (sum of proper divisors): 289,068
Factor pairs (a × b = 138,996)
1 × 138996
2 × 69498
3 × 46332
4 × 34749
6 × 23166
9 × 15444
11 × 12636
12 × 11583
13 × 10692
18 × 7722
22 × 6318
26 × 5346
27 × 5148
33 × 4212
36 × 3861
39 × 3564
44 × 3159
52 × 2673
54 × 2574
66 × 2106
78 × 1782
81 × 1716
99 × 1404
108 × 1287
117 × 1188
132 × 1053
143 × 972
156 × 891
162 × 858
198 × 702
234 × 594
243 × 572
286 × 486
297 × 468
324 × 429
351 × 396
First multiples
138,996 · 277,992 (double) · 416,988 · 555,984 · 694,980 · 833,976 · 972,972 · 1,111,968 · 1,250,964 · 1,389,960

Sums & aliquot sequence

As consecutive integers: 46,331 + 46,332 + 46,333 17,371 + 17,372 + … + 17,378 15,440 + 15,441 + … + 15,448 12,631 + 12,632 + … + 12,641
Aliquot sequence: 138,996 289,068 487,092 649,484 635,716 488,316 651,116 488,344 427,316 325,072 362,384 441,136 426,864 675,992 591,508 529,612 397,216 — unresolved within range

Continued fraction of √n

√138,996 = [372; (1, 4, 1, 1, 1, 1, 4, 1, 1, 1, 1, 4, 1, 744)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand nine hundred ninety-six
Ordinal
138996th
Binary
100001111011110100
Octal
417364
Hexadecimal
0x21EF4
Base64
Ah70
One's complement
4,294,828,299 (32-bit)
Scientific notation
1.38996 × 10⁵
As a duration
138,996 s = 1 day, 14 hours, 36 minutes, 36 seconds
In other bases
ternary (3) 21001200000
quaternary (4) 201323310
quinary (5) 13421441
senary (6) 2551300
septenary (7) 1116144
nonary (9) 231600
undecimal (11) 95480
duodecimal (12) 68530
tridecimal (13) 4b360
tetradecimal (14) 38924
pentadecimal (15) 2b2b6

As an angle

138,996° = 386 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϡϟϛʹ
Mayan (base 20)
𝋱·𝋧·𝋩·𝋰
Chinese
一十三萬八千九百九十六
Chinese (financial)
壹拾參萬捌仟玖佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٨٩٩٦ Devanagari १३८९९६ Bengali ১৩৮৯৯৬ Tamil ௧௩௮௯௯௬ Thai ๑๓๘๙๙๖ Tibetan ༡༣༨༩༩༦ Khmer ១៣៨៩៩៦ Lao ໑໓໘໙໙໖ Burmese ၁၃၈၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138996, here are decompositions:

  • 19 + 138977 = 138996
  • 29 + 138967 = 138996
  • 37 + 138959 = 138996
  • 59 + 138937 = 138996
  • 73 + 138923 = 138996
  • 79 + 138917 = 138996
  • 97 + 138899 = 138996
  • 103 + 138893 = 138996

Showing the first eight; more decompositions exist.

Unicode codepoint
𡻴
CJK Unified Ideograph-21Ef4
U+21EF4
Other letter (Lo)

UTF-8 encoding: F0 A1 BB B4 (4 bytes).

Hex color
#021EF4
RGB(2, 30, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.244.

Address
0.2.30.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.244

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 138,996 and was likely granted around 1872.

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

Position in π

The digit sequence 138996 first appears in π at position 84,804 of the decimal expansion (the 84,804ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.