λ
Sigma Notebook

7,238,408

23 × 904801
Deficient Even Composite

7,238,408 is even and not a perfect square. Its factorization is 2^3 × 904801 and its 8 divisors sum to 13,572,030.

Prime Factor Structure

Factorization String 2^3 × 904801
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,572,030
Proper Divisor Sum 6,333,622
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7238401 ← → #7238419

Radix Representation

Decimal 7238408
Binary 11011100111001100001000 (23 bits)
Octal 0o33471410
Hexadecimal 0x6E7308

Divisor Catalog (8)

1 2 4 8 904,801 1,809,602 3,619,204 7,238,408

Collatz Trajectory (142 steps to reach 1)

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

7,238,408 3,619,204 1,809,602 904,801 2,714,404 1,357,202 678,601 2,035,804 1,017,902 508,951 1,526,854 763,427 2,290,282 1,145,141 3,435,424 1,717,712 858,856 429,428 214,714 107,357 322,072 161,036 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560

More profiles

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