3,377,895

3 × 5 × 23 × 9791

Starting at 3,377,895, the Collatz iteration reaches 1 after 195 steps. The first transition is 10133686; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 9791

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,640,192

Proper Divisor Sum 2,262,297

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3377893 ← → #3377903

Radix Representation

Decimal	3377895
Binary	1100111000101011100111 (22 bits)
Octal	0o14705347
Hexadecimal	0x338AE7

Divisor Catalog (16)

1 3 5 15 23 69 115 345 9,791 29,373 48,955 146,865 225,193 675,579 1,125,965 3,377,895

Collatz Trajectory (195 steps to reach 1)

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

3,377,895 10,133,686 5,066,843 15,200,530 7,600,265 22,800,796 11,400,398 5,700,199 17,100,598 8,550,299 25,650,898 12,825,449 38,476,348 19,238,174 9,619,087 28,857,262 14,428,631 43,285,894 21,642,947 64,928,842 32,464,421 97,393,264 48,696,632 24,348,316 12,174,158 6,087,079 18,261,238 9,130,619 27,391,858 13,695,929 41,087,788 20,543,894 10,271,947 30,815,842 15,407,921 46,223,764 23,111,882 11,555,941 34,667,824 17,333,912 8,666,956 4,333,478 2,166,739 6,500,218 3,250,109 9,750,328 4,875,164 2,437,582 1,218,791 3,656,374 1,828,187 5,484,562 2,742,281 8,226,844 4,113,422 2,056,711 6,170,134 3,085,067 9,255,202 4,627,601

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