λ
Math Directory

7,035,848

23 × 419 × 2099
Deficient Even Composite

7,035,848 factors as 2^3 × 419 × 2099. Its 16 positive divisors give a proper-divisor sum of 6,194,152, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 419 × 2099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,230,000
Proper Divisor Sum 6,194,152
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7035839 ← → #7035851

Radix Representation

Decimal 7035848
Binary 11010110101101111001000 (23 bits)
Octal 0o32655710
Hexadecimal 0x6B5BC8

Divisor Catalog (16)

1 2 4 8 419 838 1,676 2,099 3,352 4,198 8,396 16,792 879,481 1,758,962 3,517,924 7,035,848

Collatz Trajectory (103 steps to reach 1)

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

7,035,848 3,517,924 1,758,962 879,481 2,638,444 1,319,222 659,611 1,978,834 989,417 2,968,252 1,484,126 742,063 2,226,190 1,113,095 3,339,286 1,669,643 5,008,930 2,504,465 7,513,396 3,756,698 1,878,349 5,635,048 2,817,524 1,408,762 704,381 2,113,144 1,056,572 528,286 264,143 792,430 396,215 1,188,646 594,323 1,782,970 891,485 2,674,456 1,337,228 668,614 334,307 1,002,922 501,461 1,504,384 752,192 376,096 188,048 94,024 47,012 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630

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