3,615,713

17 × 53 × 4013

Starting at 3,615,713, the Collatz iteration reaches 1 after 89 steps. The first transition is 10847140; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 53 × 4013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,901,608

Proper Divisor Sum 285,895

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3615709 ← → #3615721

Radix Representation

Decimal	3615713
Binary	1101110010101111100001 (22 bits)
Octal	0o15625741
Hexadecimal	0x372BE1

Divisor Catalog (8)

1 17 53 901 4,013 68,221 212,689 3,615,713

Collatz Trajectory (89 steps to reach 1)

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

3,615,713 10,847,140 5,423,570 2,711,785 8,135,356 4,067,678 2,033,839 6,101,518 3,050,759 9,152,278 4,576,139 13,728,418 6,864,209 20,592,628 10,296,314 5,148,157 15,444,472 7,722,236 3,861,118 1,930,559 5,791,678 2,895,839 8,687,518 4,343,759 13,031,278 6,515,639 19,546,918 9,773,459 29,320,378 14,660,189 43,980,568 21,990,284 10,995,142 5,497,571 16,492,714 8,246,357 24,739,072 12,369,536 6,184,768 3,092,384 1,546,192 773,096 386,548 193,274 96,637 289,912 144,956 72,478 36,239 108,718 54,359 163,078 81,539 244,618 122,309 366,928 183,464 91,732 45,866 22,933

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