3,636,927

3³ × 7² × 2749

3,636,927 has the prime decomposition 3^3 × 7^2 × 2749. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 2749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,270,000

Proper Divisor Sum 2,633,073

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3636911 ← → #3636943

Radix Representation

Decimal	3636927
Binary	1101110111111010111111 (22 bits)
Octal	0o15677277
Hexadecimal	0x377EBF

Divisor Catalog (24)

1 3 7 9 21 27 49 63 147 189 441 1,323 2,749 8,247 19,243 24,741 57,729 74,223 134,701 173,187 404,103 519,561 1,212,309 3,636,927

Collatz Trajectory (159 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,636,927 10,910,782 5,455,391 16,366,174 8,183,087 24,549,262 12,274,631 36,823,894 18,411,947 55,235,842 27,617,921 82,853,764 41,426,882 20,713,441 62,140,324 31,070,162 15,535,081 46,605,244 23,302,622 11,651,311 34,953,934 17,476,967 52,430,902 26,215,451 78,646,354 39,323,177 117,969,532 58,984,766 29,492,383 88,477,150 44,238,575 132,715,726 66,357,863 199,073,590 99,536,795 298,610,386 149,305,193 447,915,580 223,957,790 111,978,895 335,936,686 167,968,343 503,905,030 251,952,515 755,857,546 377,928,773 1,133,786,320 566,893,160 283,446,580 141,723,290 70,861,645 212,584,936 106,292,468 53,146,234 26,573,117 79,719,352 39,859,676 19,929,838 9,964,919 29,894,758

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