λ
Sigma Notebook

3,600,291

3 × 19 × 83 × 761
Deficient Odd Composite

3,600,291 is odd and not a perfect square. Its factorization is 3 × 19 × 83 × 761 and its 16 divisors sum to 5,120,640.

Prime Factor Structure

Factorization String 3 × 19 × 83 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,120,640
Proper Divisor Sum 1,520,349
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3600283 ← → #3600301

Radix Representation

Decimal 3600291
Binary 1101101110111110100011 (22 bits)
Octal 0o15567643
Hexadecimal 0x36EFA3

Divisor Catalog (16)

1 3 19 57 83 249 761 1,577 2,283 4,731 14,459 43,377 63,163 189,489 1,200,097 3,600,291

Collatz Trajectory (53 steps to reach 1)

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

3,600,291 10,800,874 5,400,437 16,201,312 8,100,656 4,050,328 2,025,164 1,012,582 506,291 1,518,874 759,437 2,278,312 1,139,156 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074 30,037 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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