3,826,635

3 × 5 × 337 × 757

Starting at 3,826,635, the Collatz iteration reaches 1 after 79 steps. The first transition is 11479906; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 337 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,148,896

Proper Divisor Sum 2,322,261

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3826631 ← → #3826639

Radix Representation

Decimal	3826635
Binary	1110100110001111001011 (22 bits)
Octal	0o16461713
Hexadecimal	0x3A63CB

Divisor Catalog (16)

1 3 5 15 337 757 1,011 1,685 2,271 3,785 5,055 11,355 255,109 765,327 1,275,545 3,826,635

Collatz Trajectory (79 steps to reach 1)

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

3,826,635 11,479,906 5,739,953 17,219,860 8,609,930 4,304,965 12,914,896 6,457,448 3,228,724 1,614,362 807,181 2,421,544 1,210,772 605,386 302,693 908,080 454,040 227,020 113,510 56,755 170,266 85,133 255,400 127,700 63,850 31,925 95,776 47,888 23,944 11,972 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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