λ
Sigma Notebook

3,497,535

32 × 5 × 77723
Deficient Odd Composite

3,497,535 is odd and not a perfect square. Its factorization is 3^2 × 5 × 77723 and its 12 divisors sum to 6,062,472.

Prime Factor Structure

Factorization String 3^2 × 5 × 77723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,062,472
Proper Divisor Sum 2,564,937
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3497521 ← → #3497591

Radix Representation

Decimal 3497535
Binary 1101010101111000111111 (22 bits)
Octal 0o15257077
Hexadecimal 0x355E3F

Divisor Catalog (12)

1 3 5 9 15 45 77,723 233,169 388,615 699,507 1,165,845 3,497,535

Collatz Trajectory (97 steps to reach 1)

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

3,497,535 10,492,606 5,246,303 15,738,910 7,869,455 23,608,366 11,804,183 35,412,550 17,706,275 53,118,826 26,559,413 79,678,240 39,839,120 19,919,560 9,959,780 4,979,890 2,489,945 7,469,836 3,734,918 1,867,459 5,602,378 2,801,189 8,403,568 4,201,784 2,100,892 1,050,446 525,223 1,575,670 787,835 2,363,506 1,181,753 3,545,260 1,772,630 886,315 2,658,946 1,329,473 3,988,420 1,994,210 997,105 2,991,316 1,495,658 747,829 2,243,488 1,121,744 560,872 280,436 140,218 70,109 210,328 105,164 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184

More profiles

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