λ
Sigma Notebook

3,675,129

3 × 1073
Deficient Odd Composite

3,675,129 is odd and not a perfect square. Its factorization is 3 × 107^3 and its 8 divisors sum to 4,946,400.

Prime Factor Structure

Factorization String 3 × 107^3
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,946,400
Proper Divisor Sum 1,271,271
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3675107 ← → #3675131

Radix Representation

Decimal 3675129
Binary 1110000001001111111001 (22 bits)
Octal 0o16011771
Hexadecimal 0x3813F9

Divisor Catalog (8)

1 3 107 321 11,449 34,347 1,225,043 3,675,129

Collatz Trajectory (172 steps to reach 1)

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

3,675,129 11,025,388 5,512,694 2,756,347 8,269,042 4,134,521 12,403,564 6,201,782 3,100,891 9,302,674 4,651,337 13,954,012 6,977,006 3,488,503 10,465,510 5,232,755 15,698,266 7,849,133 23,547,400 11,773,700 5,886,850 2,943,425 8,830,276 4,415,138 2,207,569 6,622,708 3,311,354 1,655,677 4,967,032 2,483,516 1,241,758 620,879 1,862,638 931,319 2,793,958 1,396,979 4,190,938 2,095,469 6,286,408 3,143,204 1,571,602 785,801 2,357,404 1,178,702 589,351 1,768,054 884,027 2,652,082 1,326,041 3,978,124 1,989,062 994,531 2,983,594 1,491,797 4,475,392 2,237,696 1,118,848 559,424 279,712 139,856

More profiles

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