4,335,071

13 × 31² × 347

Starting at 4,335,071, the Collatz iteration reaches 1 after 92 steps. The first transition is 13005214; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13 × 31^2 × 347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,837,896

Proper Divisor Sum 502,825

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4335049 ← → #4335073

Radix Representation

Decimal	4335071
Binary	10000100010010111011111 (23 bits)
Octal	0o20422737
Hexadecimal	0x4225DF

Divisor Catalog (12)

1 13 31 347 403 961 4,511 10,757 12,493 139,841 333,467 4,335,071

Collatz Trajectory (92 steps to reach 1)

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

4,335,071 13,005,214 6,502,607 19,507,822 9,753,911 29,261,734 14,630,867 43,892,602 21,946,301 65,838,904 32,919,452 16,459,726 8,229,863 24,689,590 12,344,795 37,034,386 18,517,193 55,551,580 27,775,790 13,887,895 41,663,686 20,831,843 62,495,530 31,247,765 93,743,296 46,871,648 23,435,824 11,717,912 5,858,956 2,929,478 1,464,739 4,394,218 2,197,109 6,591,328 3,295,664 1,647,832 823,916 411,958 205,979 617,938 308,969 926,908 463,454 231,727 695,182 347,591 1,042,774 521,387 1,564,162 782,081 2,346,244 1,173,122 586,561 1,759,684 879,842 439,921 1,319,764 659,882 329,941 989,824

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