λ
Sigma Notebook

6,128,288

25 × 191509
Deficient Even Composite

6,128,288 is even and not a perfect square. Its factorization is 2^5 × 191509 and its 12 divisors sum to 12,065,130.

Prime Factor Structure

Factorization String 2^5 × 191509
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,065,130
Proper Divisor Sum 5,936,842
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6128257 ← → #6128299

Radix Representation

Decimal 6128288
Binary 10111011000001010100000 (23 bits)
Octal 0o27301240
Hexadecimal 0x5D82A0

Divisor Catalog (12)

1 2 4 8 16 32 191,509 383,018 766,036 1,532,072 3,064,144 6,128,288

Collatz Trajectory (59 steps to reach 1)

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

6,128,288 3,064,144 1,532,072 766,036 383,018 191,509 574,528 287,264 143,632 71,816 35,908 17,954 8,977 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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