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101,572

101,572 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.).
Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
275,101
Square (n²)
10,316,871,184
Cube (n³)
1,047,905,239,901,248
Divisor count
12
σ(n) — sum of divisors
180,880
φ(n) — Euler's totient
49,896
Sum of prime factors
450

Primality

Prime factorization: 2 2 × 67 × 379

Nearest primes: 101,561 (−11) · 101,573 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 67 · 134 · 268 · 379 · 758 · 1516 · 25393 · 50786 (half) · 101572
Aliquot sum (sum of proper divisors): 79,308
Factor pairs (a × b = 101,572)
1 × 101572
2 × 50786
4 × 25393
67 × 1516
134 × 758
268 × 379
First multiples
101,572 · 203,144 (double) · 304,716 · 406,288 · 507,860 · 609,432 · 711,004 · 812,576 · 914,148 · 1,015,720

Sums & aliquot sequence

As consecutive integers: 12,693 + 12,694 + … + 12,700 1,483 + 1,484 + … + 1,549 79 + 80 + … + 457
Aliquot sequence: 101,572 79,308 121,256 116,344 101,816 124,984 123,416 108,004 105,244 81,740 95,332 71,506 35,756 35,812 35,868 63,084 105,364 — unresolved within range

Continued fraction of √n

√101,572 = [318; (1, 2, 2, 1, 2, 16, 1, 5, 1, 69, 1, 29, 2, 1, 2, 1, 1, 1, 5, 1, 4, 7, 1, 1, …)]

Representations

In words
one hundred one thousand five hundred seventy-two
Ordinal
101572nd
Binary
11000110011000100
Octal
306304
Hexadecimal
0x18CC4
Base64
AYzE
One's complement
4,294,865,723 (32-bit)
Scientific notation
1.01572 × 10⁵
As a duration
101,572 s = 1 day, 4 hours, 12 minutes, 52 seconds
In other bases
ternary (3) 12011022221
quaternary (4) 120303010
quinary (5) 11222242
senary (6) 2102124
septenary (7) 602062
nonary (9) 164287
undecimal (11) 6a349
duodecimal (12) 4a944
tridecimal (13) 37303
tetradecimal (14) 29032
pentadecimal (15) 20167

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ραφοβʹ
Mayan (base 20)
𝋬·𝋭·𝋲·𝋬
Chinese
一十萬一千五百七十二
Chinese (financial)
壹拾萬壹仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٠١٥٧٢ Devanagari १०१५७२ Bengali ১০১৫৭২ Tamil ௧௦௧௫௭௨ Thai ๑๐๑๕๗๒ Tibetan ༡༠༡༥༧༢ Khmer ១០១៥៧២ Lao ໑໐໑໕໗໒ Burmese ၁၀၁၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101572, here are decompositions:

  • 11 + 101561 = 101572
  • 41 + 101531 = 101572
  • 59 + 101513 = 101572
  • 71 + 101501 = 101572
  • 83 + 101489 = 101572
  • 89 + 101483 = 101572
  • 173 + 101399 = 101572
  • 239 + 101333 = 101572

Showing the first eight; more decompositions exist.

Unicode codepoint
𘳄
Khitan Small Script Character-18Cc4
U+18CC4
Other letter (Lo)

UTF-8 encoding: F0 98 B3 84 (4 bytes).

Hex color
#018CC4
RGB(1, 140, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.196.

Address
0.1.140.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.196

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 101,572 and was likely granted around 1870.

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

Possible US bank routing number

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

Routing number
000101572
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.