4,004,351

13 × 308027

Starting at 4,004,351, the Collatz iteration reaches 1 after 141 steps. The first transition is 12013054; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 308027

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,312,392

Proper Divisor Sum 308,041

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4004339 ← → #4004359

Radix Representation

Decimal	4004351
Binary	1111010001100111111111 (22 bits)
Octal	0o17214777
Hexadecimal	0x3D19FF

Divisor Catalog (4)

1 13 308,027 4,004,351

Collatz Trajectory (141 steps to reach 1)

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

4,004,351 12,013,054 6,006,527 18,019,582 9,009,791 27,029,374 13,514,687 40,544,062 20,272,031 60,816,094 30,408,047 91,224,142 45,612,071 136,836,214 68,418,107 205,254,322 102,627,161 307,881,484 153,940,742 76,970,371 230,911,114 115,455,557 346,366,672 173,183,336 86,591,668 43,295,834 21,647,917 64,943,752 32,471,876 16,235,938 8,117,969 24,353,908 12,176,954 6,088,477 18,265,432 9,132,716 4,566,358 2,283,179 6,849,538 3,424,769 10,274,308 5,137,154 2,568,577 7,705,732 3,852,866 1,926,433 5,779,300 2,889,650 1,444,825 4,334,476 2,167,238 1,083,619 3,250,858 1,625,429 4,876,288 2,438,144 1,219,072 609,536 304,768 152,384

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