8,307,735

3 × 5 × 553849

8,307,735 factors as 3 × 5 × 553849. Its 8 positive divisors give a proper-divisor sum of 4,984,665, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 5 × 553849

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,292,400

Proper Divisor Sum 4,984,665

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8307709 ← → #8307751

Radix Representation

Decimal	8307735
Binary	11111101100010000010111 (23 bits)
Octal	0o37542027
Hexadecimal	0x7EC417

Divisor Catalog (8)

1 3 5 15 553,849 1,661,547 2,769,245 8,307,735

Collatz Trajectory (199 steps to reach 1)

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

8,307,735 24,923,206 12,461,603 37,384,810 18,692,405 56,077,216 28,038,608 14,019,304 7,009,652 3,504,826 1,752,413 5,257,240 2,628,620 1,314,310 657,155 1,971,466 985,733 2,957,200 1,478,600 739,300 369,650 184,825 554,476 277,238 138,619 415,858 207,929 623,788 311,894 155,947 467,842 233,921 701,764 350,882 175,441 526,324 263,162 131,581 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088 421,544 210,772 105,386 52,693

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