3,643,029

3³ × 13 × 97 × 107

3,643,029 is odd and not a perfect square. Its factorization is 3^3 × 13 × 97 × 107 and its 32 divisors sum to 5,927,040.

Prime Factor Structure

Factorization String 3^3 × 13 × 97 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,927,040

Proper Divisor Sum 2,284,011

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3643001 ← → #3643033

Radix Representation

Decimal	3643029
Binary	1101111001011010010101 (22 bits)
Octal	0o15713225
Hexadecimal	0x379695

Divisor Catalog (32)

1 3 9 13 27 39 97 107 117 291 321 351 873 963 1,261 1,391 2,619 2,889 3,783 4,173 10,379 11,349 12,519 31,137 34,047 37,557 93,411 134,927 280,233 404,781 1,214,343 3,643,029

Collatz Trajectory (58 steps to reach 1)

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

3,643,029 10,929,088 5,464,544 2,732,272 1,366,136 683,068 341,534 170,767 512,302 256,151 768,454 384,227 1,152,682 576,341 1,729,024 864,512 432,256 216,128 108,064 54,032 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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