4,946,445

3² × 5 × 7 × 41 × 383

4,946,445 has the prime decomposition 3^2 × 5 × 7 × 41 × 383. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 41 × 383

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,063,872

Proper Divisor Sum 5,117,427

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4946413 ← → #4946467

Radix Representation

Decimal	4946445
Binary	10010110111101000001101 (23 bits)
Octal	0o22675015
Hexadecimal	0x4B7A0D

Divisor Catalog (48)

1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 383 615 861 1,149 1,435 1,845 1,915 2,583 2,681 3,447 4,305 5,745 8,043 12,915 13,405 15,703 17,235 24,129 40,215 47,109 78,515 109,921 120,645 141,327 235,545 329,763 549,605 706,635 989,289 1,648,815 4,946,445

Collatz Trajectory (175 steps to reach 1)

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

4,946,445 14,839,336 7,419,668 3,709,834 1,854,917 5,564,752 2,782,376 1,391,188 695,594 347,797 1,043,392 521,696 260,848 130,424 65,212 32,606 16,303 48,910 24,455 73,366 36,683 110,050 55,025 165,076 82,538 41,269 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146

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