4,473,574

2 × 7 × 319541

Starting at 4,473,574, the Collatz iteration reaches 1 after 162 steps. The first transition is 2236787; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 319541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,669,008

Proper Divisor Sum 3,195,434

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4473541 ← → #4473583

Radix Representation

Decimal	4473574
Binary	10001000100001011100110 (23 bits)
Octal	0o21041346
Hexadecimal	0x4442E6

Divisor Catalog (8)

1 2 7 14 319,541 639,082 2,236,787 4,473,574

Collatz Trajectory (162 steps to reach 1)

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

4,473,574 2,236,787 6,710,362 3,355,181 10,065,544 5,032,772 2,516,386 1,258,193 3,774,580 1,887,290 943,645 2,830,936 1,415,468 707,734 353,867 1,061,602 530,801 1,592,404 796,202 398,101 1,194,304 597,152 298,576 149,288 74,644 37,322 18,661 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402

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