λ
Sigma Notebook

3,768,438

2 × 3 × 89 × 7057
Abundant Even Composite

3,768,438 is even and not a perfect square. Its factorization is 2 × 3 × 89 × 7057 and its 16 divisors sum to 7,622,640.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 7057
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,622,640
Proper Divisor Sum 3,854,202
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3768431 ← → #3768473

Radix Representation

Decimal 3768438
Binary 1110011000000001110110 (22 bits)
Octal 0o16300166
Hexadecimal 0x398076

Divisor Catalog (16)

1 2 3 6 89 178 267 534 7,057 14,114 21,171 42,342 628,073 1,256,146 1,884,219 3,768,438

Collatz Trajectory (172 steps to reach 1)

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

3,768,438 1,884,219 5,652,658 2,826,329 8,478,988 4,239,494 2,119,747 6,359,242 3,179,621 9,538,864 4,769,432 2,384,716 1,192,358 596,179 1,788,538 894,269 2,682,808 1,341,404 670,702 335,351 1,006,054 503,027 1,509,082 754,541 2,263,624 1,131,812 565,906 282,953 848,860 424,430 212,215 636,646 318,323 954,970 477,485 1,432,456 716,228 358,114 179,057 537,172 268,586 134,293 402,880 201,440 100,720 50,360 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664

More profiles

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