4,472,076

2² × 3 × 7 × 53239

Starting at 4,472,076, the Collatz iteration reaches 1 after 61 steps. The first transition is 2236038; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 53239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,925,760

Proper Divisor Sum 7,453,684

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4472021 ← → #4472081

Radix Representation

Decimal	4472076
Binary	10001000011110100001100 (23 bits)
Octal	0o21036414
Hexadecimal	0x443D0C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 53,239 106,478 159,717 212,956 319,434 372,673 638,868 745,346 1,118,019 1,490,692 2,236,038 4,472,076

Collatz Trajectory (61 steps to reach 1)

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

4,472,076 2,236,038 1,118,019 3,354,058 1,677,029 5,031,088 2,515,544 1,257,772 628,886 314,443 943,330 471,665 1,414,996 707,498 353,749 1,061,248 530,624 265,312 132,656 66,328 33,164 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

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