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136,572

136,572 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.).

136,572 (one hundred thirty-six thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 19 × 599. Its proper divisors sum to 199,428, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2157C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,260
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
275,631
Square (n²)
18,651,911,184
Cube (n³)
2,547,328,814,221,248
Divisor count
24
σ(n) — sum of divisors
336,000
φ(n) — Euler's totient
43,056
Sum of prime factors
625

Primality

Prime factorization: 2 2 × 3 × 19 × 599

Nearest primes: 136,559 (−13) · 136,573 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 57 · 76 · 114 · 228 · 599 · 1198 · 1797 · 2396 · 3594 · 7188 · 11381 · 22762 · 34143 · 45524 · 68286 (half) · 136572
Aliquot sum (sum of proper divisors): 199,428
Factor pairs (a × b = 136,572)
1 × 136572
2 × 68286
3 × 45524
4 × 34143
6 × 22762
12 × 11381
19 × 7188
38 × 3594
57 × 2396
76 × 1797
114 × 1198
228 × 599
First multiples
136,572 · 273,144 (double) · 409,716 · 546,288 · 682,860 · 819,432 · 956,004 · 1,092,576 · 1,229,148 · 1,365,720

Sums & aliquot sequence

As consecutive integers: 45,523 + 45,524 + 45,525 17,068 + 17,069 + … + 17,075 7,179 + 7,180 + … + 7,197 5,679 + 5,680 + … + 5,702
Aliquot sequence: 136,572 199,428 265,932 422,028 702,732 951,844 798,044 730,756 744,956 558,724 419,050 437,480 546,940 723,140 1,030,780 1,133,900 1,678,420 — unresolved within range

Continued fraction of √n

√136,572 = [369; (1, 1, 3, 1, 12, 2, 2, 1, 1, 1, 6, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand five hundred seventy-two
Ordinal
136572nd
Binary
100001010101111100
Octal
412574
Hexadecimal
0x2157C
Base64
AhV8
One's complement
4,294,830,723 (32-bit)
Scientific notation
1.36572 × 10⁵
As a duration
136,572 s = 1 day, 13 hours, 56 minutes, 12 seconds
In other bases
ternary (3) 20221100020
quaternary (4) 201111330
quinary (5) 13332242
senary (6) 2532140
septenary (7) 1106112
nonary (9) 227306
undecimal (11) 93677
duodecimal (12) 67050
tridecimal (13) 4a217
tetradecimal (14) 37ab2
pentadecimal (15) 2a6ec

As an angle

136,572° = 379 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛφοβʹ
Mayan (base 20)
𝋱·𝋡·𝋨·𝋬
Chinese
一十三萬六千五百七十二
Chinese (financial)
壹拾參萬陸仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٦٥٧٢ Devanagari १३६५७२ Bengali ১৩৬৫৭২ Tamil ௧௩௬௫௭௨ Thai ๑๓๖๕๗๒ Tibetan ༡༣༦༥༧༢ Khmer ១៣៦៥៧២ Lao ໑໓໖໕໗໒ Burmese ၁၃၆၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136572, here are decompositions:

  • 13 + 136559 = 136572
  • 31 + 136541 = 136572
  • 41 + 136531 = 136572
  • 53 + 136519 = 136572
  • 61 + 136511 = 136572
  • 71 + 136501 = 136572
  • 89 + 136483 = 136572
  • 101 + 136471 = 136572

Showing the first eight; more decompositions exist.

Unicode codepoint
𡕼
CJK Unified Ideograph-2157C
U+2157C
Other letter (Lo)

UTF-8 encoding: F0 A1 95 BC (4 bytes).

Hex color
#02157C
RGB(2, 21, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.124.

Address
0.2.21.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.124

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 136,572 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 136572 first appears in π at position 247,747 of the decimal expansion (the 247,747ordinal-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°.