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101,672

101,672 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.).
Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
276,101
Square (n²)
10,337,195,584
Cube (n³)
1,051,003,349,416,448
Divisor count
16
σ(n) — sum of divisors
194,400
φ(n) — Euler's totient
49,840
Sum of prime factors
256

Primality

Prime factorization: 2 3 × 71 × 179

Nearest primes: 101,663 (−9) · 101,681 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 71 · 142 · 179 · 284 · 358 · 568 · 716 · 1432 · 12709 · 25418 · 50836 (half) · 101672
Aliquot sum (sum of proper divisors): 92,728
Factor pairs (a × b = 101,672)
1 × 101672
2 × 50836
4 × 25418
8 × 12709
71 × 1432
142 × 716
179 × 568
284 × 358
First multiples
101,672 · 203,344 (double) · 305,016 · 406,688 · 508,360 · 610,032 · 711,704 · 813,376 · 915,048 · 1,016,720

Sums & aliquot sequence

As consecutive integers: 6,347 + 6,348 + … + 6,362 1,397 + 1,398 + … + 1,467 479 + 480 + … + 657
Aliquot sequence: 101,672 92,728 84,752 79,486 50,618 25,312 32,144 42,070 44,618 31,894 17,354 8,680 14,360 18,040 27,320 34,240 48,056 — unresolved within range

Continued fraction of √n

√101,672 = [318; (1, 6, 5, 1, 90, 3, 1, 3, 4, 1, 3, 12, 1, 3, 27, 2, 8, 2, 27, 3, 1, 12, 3, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand six hundred seventy-two
Ordinal
101672nd
Binary
11000110100101000
Octal
306450
Hexadecimal
0x18D28
Base64
AY0o
One's complement
4,294,865,623 (32-bit)
Scientific notation
1.01672 × 10⁵
As a duration
101,672 s = 1 day, 4 hours, 14 minutes, 32 seconds
In other bases
ternary (3) 12011110122
quaternary (4) 120310220
quinary (5) 11223142
senary (6) 2102412
septenary (7) 602264
nonary (9) 164418
undecimal (11) 6a42a
duodecimal (12) 4aa08
tridecimal (13) 3737c
tetradecimal (14) 290a4
pentadecimal (15) 201d2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ραχοβʹ
Mayan (base 20)
𝋬·𝋮·𝋣·𝋬
Chinese
一十萬一千六百七十二
Chinese (financial)
壹拾萬壹仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٠١٦٧٢ Devanagari १०१६७२ Bengali ১০১৬৭২ Tamil ௧௦௧௬௭௨ Thai ๑๐๑๖๗๒ Tibetan ༡༠༡༦༧༢ Khmer ១០១៦៧២ Lao ໑໐໑໖໗໒ Burmese ၁၀၁၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101672, here are decompositions:

  • 19 + 101653 = 101672
  • 31 + 101641 = 101672
  • 61 + 101611 = 101672
  • 73 + 101599 = 101672
  • 139 + 101533 = 101672
  • 223 + 101449 = 101672
  • 313 + 101359 = 101672
  • 331 + 101341 = 101672

Showing the first eight; more decompositions exist.

Hex color
#018D28
RGB(1, 141, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.40.

Address
0.1.141.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.40

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 101,672 and was likely granted around 1870.

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

Position in π

The digit sequence 101672 first appears in π at position 140,126 of the decimal expansion (the 140,126ordinal-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.