λ
Prime Ledger

7,025,936

24 × 47 × 9343
Deficient Even Composite

7,025,936 has the prime decomposition 2^4 × 47 × 9343. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 47 × 9343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,903,872
Proper Divisor Sum 6,877,936
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7025903 ← → #7025957

Radix Representation

Decimal 7025936
Binary 11010110011010100010000 (23 bits)
Octal 0o32632420
Hexadecimal 0x6B3510

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 9,343 18,686 37,372 74,744 149,488 439,121 878,242 1,756,484 3,512,968 7,025,936

Collatz Trajectory (191 steps to reach 1)

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

7,025,936 3,512,968 1,756,484 878,242 439,121 1,317,364 658,682 329,341 988,024 494,012 247,006 123,503 370,510 185,255 555,766 277,883 833,650 416,825 1,250,476 625,238 312,619 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773 791,320 395,660 197,830 98,915 296,746 148,373 445,120 222,560 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432

More profiles

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