4,473,573

3 × 13 × 251 × 457

4,473,573 factors as 3 × 13 × 251 × 457. Its 16 positive divisors give a proper-divisor sum of 1,989,723, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 13 × 251 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,463,296

Proper Divisor Sum 1,989,723

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4473541 ← → #4473583

Radix Representation

Decimal	4473573
Binary	10001000100001011100101 (23 bits)
Octal	0o21041345
Hexadecimal	0x4442E5

Divisor Catalog (16)

1 3 13 39 251 457 753 1,371 3,263 5,941 9,789 17,823 114,707 344,121 1,491,191 4,473,573

Collatz Trajectory (162 steps to reach 1)

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

4,473,573 13,420,720 6,710,360 3,355,180 1,677,590 838,795 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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