7,105,096

2³ × 199 × 4463

7,105,096 factors as 2^3 × 199 × 4463. Its 16 positive divisors give a proper-divisor sum of 6,286,904, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 199 × 4463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,392,000

Proper Divisor Sum 6,286,904

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7105093 ← → #7105117

Radix Representation

Decimal	7105096
Binary	11011000110101001001000 (23 bits)
Octal	0o33065110
Hexadecimal	0x6C6A48

Divisor Catalog (16)

1 2 4 8 199 398 796 1,592 4,463 8,926 17,852 35,704 888,137 1,776,274 3,552,548 7,105,096

Collatz Trajectory (191 steps to reach 1)

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

7,105,096 3,552,548 1,776,274 888,137 2,664,412 1,332,206 666,103 1,998,310 999,155 2,997,466 1,498,733 4,496,200 2,248,100 1,124,050 562,025 1,686,076 843,038 421,519 1,264,558 632,279 1,896,838 948,419 2,845,258 1,422,629 4,267,888 2,133,944 1,066,972 533,486 266,743 800,230 400,115 1,200,346 600,173 1,800,520 900,260 450,130 225,065 675,196 337,598 168,799 506,398 253,199 759,598 379,799 1,139,398 569,699 1,709,098 854,549 2,563,648 1,281,824 640,912 320,456 160,228 80,114 40,057 120,172 60,086 30,043 90,130 45,065

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