λ
Sigma Notebook

7,372,978

2 × 31 × 109 × 1091
Deficient Even Composite

7,372,978 is even and not a perfect square. Its factorization is 2 × 31 × 109 × 1091 and its 16 divisors sum to 11,531,520.

Prime Factor Structure

Factorization String 2 × 31 × 109 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,531,520
Proper Divisor Sum 4,158,542
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7372961 ← → #7372987

Radix Representation

Decimal 7372978
Binary 11100001000000010110010 (23 bits)
Octal 0o34100262
Hexadecimal 0x7080B2

Divisor Catalog (16)

1 2 31 62 109 218 1,091 2,182 3,379 6,758 33,821 67,642 118,919 237,838 3,686,489 7,372,978

Collatz Trajectory (142 steps to reach 1)

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

7,372,978 3,686,489 11,059,468 5,529,734 2,764,867 8,294,602 4,147,301 12,441,904 6,220,952 3,110,476 1,555,238 777,619 2,332,858 1,166,429 3,499,288 1,749,644 874,822 437,411 1,312,234 656,117 1,968,352 984,176 492,088 246,044 123,022 61,511 184,534 92,267 276,802 138,401 415,204 207,602 103,801 311,404 155,702 77,851 233,554 116,777 350,332 175,166 87,583 262,750 131,375 394,126 197,063 591,190 295,595 886,786 443,393 1,330,180 665,090 332,545 997,636 498,818 249,409 748,228 374,114 187,057 561,172 280,586

More profiles

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