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972,428

972,428 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.).

972,428 (nine hundred seventy-two thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 29 × 83 × 101. Written other ways, in hexadecimal, 0xED68C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
8,064
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
824,279
Square (n²)
945,616,215,184
Cube (n³)
919,543,684,898,946,752
Divisor count
24
σ(n) — sum of divisors
1,799,280
φ(n) — Euler's totient
459,200
Sum of prime factors
217

Primality

Prime factorization: 2 2 × 29 × 83 × 101

Nearest primes: 972,427 (−1) · 972,431 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 29 · 58 · 83 · 101 · 116 · 166 · 202 · 332 · 404 · 2407 · 2929 · 4814 · 5858 · 8383 · 9628 · 11716 · 16766 · 33532 · 243107 · 486214 (half) · 972428
Aliquot sum (sum of proper divisors): 826,852
Factor pairs (a × b = 972,428)
1 × 972428
2 × 486214
4 × 243107
29 × 33532
58 × 16766
83 × 11716
101 × 9628
116 × 8383
166 × 5858
202 × 4814
332 × 2929
404 × 2407
First multiples
972,428 · 1,944,856 (double) · 2,917,284 · 3,889,712 · 4,862,140 · 5,834,568 · 6,806,996 · 7,779,424 · 8,751,852 · 9,724,280

Sums & aliquot sequence

As consecutive integers: 121,550 + 121,551 + … + 121,557 33,518 + 33,519 + … + 33,546 11,675 + 11,676 + … + 11,757 9,578 + 9,579 + … + 9,678
Aliquot sequence: 972,428 826,852 731,544 1,393,896 2,589,144 3,883,776 7,276,464 15,742,896 28,056,384 53,674,720 84,664,208 79,730,032 74,746,936 81,881,144 77,613,256 93,113,144 81,576,376 — unresolved within range

Continued fraction of √n

√972,428 = [986; (8, 1, 1, 492, 1, 1, 8, 1972)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-two thousand four hundred twenty-eight
Ordinal
972428th
Binary
11101101011010001100
Octal
3553214
Hexadecimal
0xED68C
Base64
DtaM
One's complement
4,293,994,867 (32-bit)
Scientific notation
9.72428 × 10⁵
As a duration
972,428 s = 11 days, 6 hours, 7 minutes, 8 seconds
In other bases
ternary (3) 1211101220212
quaternary (4) 3231122030
quinary (5) 222104203
senary (6) 32501552
septenary (7) 11160032
nonary (9) 1741825
undecimal (11) 604666
duodecimal (12) 3aa8b8
tridecimal (13) 280802
tetradecimal (14) 1b4552
pentadecimal (15) 1431d8

As an angle

972,428° = 2,701 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοβυκηʹ
Chinese
九十七萬二千四百二十八
Chinese (financial)
玖拾柒萬貳仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٩٧٢٤٢٨ Devanagari ९७२४२८ Bengali ৯৭২৪২৮ Tamil ௯௭௨௪௨௮ Thai ๙๗๒๔๒๘ Tibetan ༩༧༢༤༢༨ Khmer ៩៧២៤២៨ Lao ໙໗໒໔໒໘ Burmese ၉၇၂၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972428, here are decompositions:

  • 19 + 972409 = 972428
  • 109 + 972319 = 972428
  • 151 + 972277 = 972428
  • 157 + 972271 = 972428
  • 199 + 972229 = 972428
  • 229 + 972199 = 972428
  • 307 + 972121 = 972428
  • 337 + 972091 = 972428

Showing the first eight; more decompositions exist.

Hex color
#0ED68C
RGB(14, 214, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.214.140.

Address
0.14.214.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.214.140

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 972,428 and was likely granted around 1910.

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

Position in π

The digit sequence 972428 first appears in π at position 528,187 of the decimal expansion (the 528,187ordinal-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°.