3,597,138

2 × 3² × 337 × 593

3,597,138 is even and not a perfect square. Its factorization is 2 × 3^2 × 337 × 593 and its 24 divisors sum to 7,830,108.

Prime Factor Structure

Factorization String 2 × 3^2 × 337 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,830,108

Proper Divisor Sum 4,232,970

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3597133 ← → #3597151

Radix Representation

Decimal	3597138
Binary	1101101110001101010010 (22 bits)
Octal	0o15561522
Hexadecimal	0x36E352

Divisor Catalog (24)

1 2 3 6 9 18 337 593 674 1,011 1,186 1,779 2,022 3,033 3,558 5,337 6,066 10,674 199,841 399,682 599,523 1,199,046 1,798,569 3,597,138

Collatz Trajectory (115 steps to reach 1)

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

3,597,138 1,798,569 5,395,708 2,697,854 1,348,927 4,046,782 2,023,391 6,070,174 3,035,087 9,105,262 4,552,631 13,657,894 6,828,947 20,486,842 10,243,421 30,730,264 15,365,132 7,682,566 3,841,283 11,523,850 5,761,925 17,285,776 8,642,888 4,321,444 2,160,722 1,080,361 3,241,084 1,620,542 810,271 2,430,814 1,215,407 3,646,222 1,823,111 5,469,334 2,734,667 8,204,002 4,102,001 12,306,004 6,153,002 3,076,501 9,229,504 4,614,752 2,307,376 1,153,688 576,844 288,422 144,211 432,634 216,317 648,952 324,476 162,238 81,119 243,358 121,679 365,038 182,519 547,558 273,779 821,338

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