4,778,306

2 × 13² × 67 × 211

4,778,306 factors as 2 × 13^2 × 67 × 211. Its 24 positive divisors give a proper-divisor sum of 3,136,078, so this integer is deficient. The Collatz stopping time is 374 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 67 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,914,384

Proper Divisor Sum 3,136,078

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4778303 ← → #4778311

Radix Representation

Decimal	4778306
Binary	10010001110100101000010 (23 bits)
Octal	0o22164502
Hexadecimal	0x48E942

Divisor Catalog (24)

1 2 13 26 67 134 169 211 338 422 871 1,742 2,743 5,486 11,323 14,137 22,646 28,274 35,659 71,318 183,781 367,562 2,389,153 4,778,306

Collatz Trajectory (374 steps to reach 1)

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

4,778,306 2,389,153 7,167,460 3,583,730 1,791,865 5,375,596 2,687,798 1,343,899 4,031,698 2,015,849 6,047,548 3,023,774 1,511,887 4,535,662 2,267,831 6,803,494 3,401,747 10,205,242 5,102,621 15,307,864 7,653,932 3,826,966 1,913,483 5,740,450 2,870,225 8,610,676 4,305,338 2,152,669 6,458,008 3,229,004 1,614,502 807,251 2,421,754 1,210,877 3,632,632 1,816,316 908,158 454,079 1,362,238 681,119 2,043,358 1,021,679 3,065,038 1,532,519 4,597,558 2,298,779 6,896,338 3,448,169 10,344,508 5,172,254 2,586,127 7,758,382 3,879,191 11,637,574 5,818,787 17,456,362 8,728,181 26,184,544 13,092,272 6,546,136

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