4,252,336

2⁴ × 11 × 37 × 653

Starting at 4,252,336, the Collatz iteration reaches 1 after 74 steps. The first transition is 2126168; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 37 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,244,944

Proper Divisor Sum 4,992,608

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4252327 ← → #4252337

Radix Representation

Decimal	4252336
Binary	10000001110001010110000 (23 bits)
Octal	0o20161260
Hexadecimal	0x40E2B0

Divisor Catalog (40)

1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 653 814 1,306 1,628 2,612 3,256 5,224 6,512 7,183 10,448 14,366 24,161 28,732 48,322 57,464 96,644 114,928 193,288 265,771 386,576 531,542 1,063,084 2,126,168 4,252,336

Collatz Trajectory (74 steps to reach 1)

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

4,252,336 2,126,168 1,063,084 531,542 265,771 797,314 398,657 1,195,972 597,986 298,993 896,980 448,490 224,245 672,736 336,368 168,184 84,092 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22

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