4,462,905

3 × 5 × 89 × 3343

Starting at 4,462,905, the Collatz iteration reaches 1 after 136 steps. The first transition is 13388716; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 89 × 3343

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,223,040

Proper Divisor Sum 2,760,135

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4462889 ← → #4462919

Radix Representation

Decimal	4462905
Binary	10001000001100100111001 (23 bits)
Octal	0o21014471
Hexadecimal	0x441939

Divisor Catalog (16)

1 3 5 15 89 267 445 1,335 3,343 10,029 16,715 50,145 297,527 892,581 1,487,635 4,462,905

Collatz Trajectory (136 steps to reach 1)

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

4,462,905 13,388,716 6,694,358 3,347,179 10,041,538 5,020,769 15,062,308 7,531,154 3,765,577 11,296,732 5,648,366 2,824,183 8,472,550 4,236,275 12,708,826 6,354,413 19,063,240 9,531,620 4,765,810 2,382,905 7,148,716 3,574,358 1,787,179 5,361,538 2,680,769 8,042,308 4,021,154 2,010,577 6,031,732 3,015,866 1,507,933 4,523,800 2,261,900 1,130,950 565,475 1,696,426 848,213 2,544,640 1,272,320 636,160 318,080 159,040 79,520 39,760 19,880 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790

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