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101,472

101,472 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 Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
274,101
Square (n²)
10,296,566,784
Cube (n³)
1,044,813,224,706,048
Divisor count
48
σ(n) — sum of divisors
306,432
φ(n) — Euler's totient
28,800
Sum of prime factors
171

Primality

Prime factorization: 2 5 × 3 × 7 × 151

Nearest primes: 101,467 (−5) · 101,477 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 151 · 168 · 224 · 302 · 336 · 453 · 604 · 672 · 906 · 1057 · 1208 · 1812 · 2114 · 2416 · 3171 · 3624 · 4228 · 4832 · 6342 · 7248 · 8456 · 12684 · 14496 · 16912 · 25368 · 33824 · 50736 (half) · 101472
Aliquot sum (sum of proper divisors): 204,960
Factor pairs (a × b = 101,472)
1 × 101472
2 × 50736
3 × 33824
4 × 25368
6 × 16912
7 × 14496
8 × 12684
12 × 8456
14 × 7248
16 × 6342
21 × 4832
24 × 4228
28 × 3624
32 × 3171
42 × 2416
48 × 2114
56 × 1812
84 × 1208
96 × 1057
112 × 906
151 × 672
168 × 604
224 × 453
302 × 336
First multiples
101,472 · 202,944 (double) · 304,416 · 405,888 · 507,360 · 608,832 · 710,304 · 811,776 · 913,248 · 1,014,720

Sums & aliquot sequence

As consecutive integers: 33,823 + 33,824 + 33,825 14,493 + 14,494 + … + 14,499 4,822 + 4,823 + … + 4,842 1,554 + 1,555 + … + 1,617
Aliquot sequence: 101,472 204,960 544,992 1,092,000 3,310,944 7,414,176 18,713,184 37,428,384 74,858,784 209,639,136 419,280,288 838,562,592 1,677,127,200 4,561,848,480 12,427,467,360 — keeps growing

Continued fraction of √n

√101,472 = [318; (1, 1, 4, 1, 5, 1, 4, 1, 1, 636)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand four hundred seventy-two
Ordinal
101472nd
Binary
11000110001100000
Octal
306140
Hexadecimal
0x18C60
Base64
AYxg
One's complement
4,294,865,823 (32-bit)
Scientific notation
1.01472 × 10⁵
As a duration
101,472 s = 1 day, 4 hours, 11 minutes, 12 seconds
In other bases
ternary (3) 12011012020
quaternary (4) 120301200
quinary (5) 11221342
senary (6) 2101440
septenary (7) 601560
nonary (9) 164166
undecimal (11) 6a268
duodecimal (12) 4a880
tridecimal (13) 37257
tetradecimal (14) 28da0
pentadecimal (15) 200ec

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ραυοβʹ
Mayan (base 20)
𝋬·𝋭·𝋭·𝋬
Chinese
一十萬一千四百七十二
Chinese (financial)
壹拾萬壹仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٠١٤٧٢ Devanagari १०१४७२ Bengali ১০১৪৭২ Tamil ௧௦௧௪௭௨ Thai ๑๐๑๔๗๒ Tibetan ༡༠༡༤༧༢ Khmer ១០១៤៧២ Lao ໑໐໑໔໗໒ Burmese ၁၀၁၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101472, here are decompositions:

  • 5 + 101467 = 101472
  • 23 + 101449 = 101472
  • 43 + 101429 = 101472
  • 53 + 101419 = 101472
  • 61 + 101411 = 101472
  • 73 + 101399 = 101472
  • 89 + 101383 = 101472
  • 109 + 101363 = 101472

Showing the first eight; more decompositions exist.

Unicode codepoint
𘱠
Khitan Small Script Character-18C60
U+18C60
Other letter (Lo)

UTF-8 encoding: F0 98 B1 A0 (4 bytes).

Hex color
#018C60
RGB(1, 140, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.96.

Address
0.1.140.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.96

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 101,472 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 101472 first appears in π at position 267,834 of the decimal expansion (the 267,834ordinal-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.