4,476,515

5 × 43 × 47 × 443

Starting at 4,476,515, the Collatz iteration reaches 1 after 180 steps. The first transition is 13429546; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 43 × 47 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,626,368

Proper Divisor Sum 1,149,853

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4476509 ← → #4476517

Radix Representation

Decimal	4476515
Binary	10001000100111001100011 (23 bits)
Octal	0o21047143
Hexadecimal	0x444E63

Divisor Catalog (16)

1 5 43 47 215 235 443 2,021 2,215 10,105 19,049 20,821 95,245 104,105 895,303 4,476,515

Collatz Trajectory (180 steps to reach 1)

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

4,476,515 13,429,546 6,714,773 20,144,320 10,072,160 5,036,080 2,518,040 1,259,020 629,510 314,755 944,266 472,133 1,416,400 708,200 354,100 177,050 88,525 265,576 132,788 66,394 33,197 99,592 49,796 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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