λ
Harmonic Matrix

4,771,271

17 × 59 × 67 × 71
Deficient Odd Composite

4,771,271 has digital root 2. The neighboring primes are 4771267 and 4771279; its proper-divisor sum differs from the starting integer by -4,254,862.

Prime Factor Structure

Factorization String 17 × 59 × 67 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,287,680
Proper Divisor Sum 516,409
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4771267 ← → #4771279

Radix Representation

Decimal 4771271
Binary 10010001100110111000111 (23 bits)
Octal 0o22146707
Hexadecimal 0x48CDC7

Divisor Catalog (16)

1 17 59 67 71 1,003 1,139 1,207 3,953 4,189 4,757 67,201 71,213 80,869 280,663 4,771,271

Collatz Trajectory (175 steps to reach 1)

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

4,771,271 14,313,814 7,156,907 21,470,722 10,735,361 32,206,084 16,103,042 8,051,521 24,154,564 12,077,282 6,038,641 18,115,924 9,057,962 4,528,981 13,586,944 6,793,472 3,396,736 1,698,368 849,184 424,592 212,296 106,148 53,074 26,537 79,612 39,806 19,903 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622 322,811 968,434 484,217 1,452,652 726,326 363,163 1,089,490

More profiles

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