4,938,507

3² × 7 × 43 × 1823

Starting at 4,938,507, the Collatz iteration reaches 1 after 162 steps. The first transition is 14815522; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 43 × 1823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,346,624

Proper Divisor Sum 3,408,117

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4938473 ← → #4938509

Radix Representation

Decimal	4938507
Binary	10010110101101100001011 (23 bits)
Octal	0o22655413
Hexadecimal	0x4B5B0B

Divisor Catalog (24)

1 3 7 9 21 43 63 129 301 387 903 1,823 2,709 5,469 12,761 16,407 38,283 78,389 114,849 235,167 548,723 705,501 1,646,169 4,938,507

Collatz Trajectory (162 steps to reach 1)

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

4,938,507 14,815,522 7,407,761 22,223,284 11,111,642 5,555,821 16,667,464 8,333,732 4,166,866 2,083,433 6,250,300 3,125,150 1,562,575 4,687,726 2,343,863 7,031,590 3,515,795 10,547,386 5,273,693 15,821,080 7,910,540 3,955,270 1,977,635 5,932,906 2,966,453 8,899,360 4,449,680 2,224,840 1,112,420 556,210 278,105 834,316 417,158 208,579 625,738 312,869 938,608 469,304 234,652 117,326 58,663 175,990 87,995 263,986 131,993 395,980 197,990 98,995 296,986 148,493 445,480 222,740 111,370 55,685 167,056 83,528 41,764 20,882 10,441 31,324

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