4,500,013

7² × 91837

Starting at 4,500,013, the Collatz iteration reaches 1 after 110 steps. The first transition is 13500040; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 91837

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,234,766

Proper Divisor Sum 734,753

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4500007 ← → #4500029

Radix Representation

Decimal	4500013
Binary	10001001010101000101101 (23 bits)
Octal	0o21125055
Hexadecimal	0x44AA2D

Divisor Catalog (6)

1 7 49 91,837 642,859 4,500,013

Collatz Trajectory (110 steps to reach 1)

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

4,500,013 13,500,040 6,750,020 3,375,010 1,687,505 5,062,516 2,531,258 1,265,629 3,796,888 1,898,444 949,222 474,611 1,423,834 711,917 2,135,752 1,067,876 533,938 266,969 800,908 400,454 200,227 600,682 300,341 901,024 450,512 225,256 112,628 56,314 28,157 84,472 42,236 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546

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