8,307,615

3 × 5 × 233 × 2377

8,307,615 factors as 3 × 5 × 233 × 2377. Its 16 positive divisors give a proper-divisor sum of 5,047,233, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3 × 5 × 233 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,354,848

Proper Divisor Sum 5,047,233

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8307583 ← → #8307631

Radix Representation

Decimal	8307615
Binary	11111101100001110011111 (23 bits)
Octal	0o37541637
Hexadecimal	0x7EC39F

Divisor Catalog (16)

1 3 5 15 233 699 1,165 2,377 3,495 7,131 11,885 35,655 553,841 1,661,523 2,769,205 8,307,615

Collatz Trajectory (230 steps to reach 1)

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

8,307,615 24,922,846 12,461,423 37,384,270 18,692,135 56,076,406 28,038,203 84,114,610 42,057,305 126,171,916 63,085,958 31,542,979 94,628,938 47,314,469 141,943,408 70,971,704 35,485,852 17,742,926 8,871,463 26,614,390 13,307,195 39,921,586 19,960,793 59,882,380 29,941,190 14,970,595 44,911,786 22,455,893 67,367,680 33,683,840 16,841,920 8,420,960 4,210,480 2,105,240 1,052,620 526,310 263,155 789,466 394,733 1,184,200 592,100 296,050 148,025 444,076 222,038 111,019 333,058 166,529 499,588 249,794 124,897 374,692 187,346 93,673 281,020 140,510 70,255 210,766 105,383 316,150

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