λ
Sigma Notebook

3,192,378

2 × 3 × 7 × 29 × 2621
Abundant Even Composite

3,192,378 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 29 × 2621 and its 32 divisors sum to 7,551,360.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 2621
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,551,360
Proper Divisor Sum 4,358,982
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3192353 ← → #3192389

Radix Representation

Decimal 3192378
Binary 1100001011011000111010 (22 bits)
Octal 0o14133072
Hexadecimal 0x30B63A

Divisor Catalog (32)

1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1,218 2,621 5,242 7,863 15,726 18,347 36,694 55,041 76,009 110,082 152,018 228,027 456,054 532,063 1,064,126 1,596,189 3,192,378

Collatz Trajectory (120 steps to reach 1)

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

3,192,378 1,596,189 4,788,568 2,394,284 1,197,142 598,571 1,795,714 897,857 2,693,572 1,346,786 673,393 2,020,180 1,010,090 505,045 1,515,136 757,568 378,784 189,392 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566

More profiles

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