346,777

577 × 601

Starting at 346,777, the Collatz iteration reaches 1 after 303 steps. The first transition is 1040332; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 577 × 601

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 347,956

Proper Divisor Sum 1,179

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #346763 ← → #346793

Radix Representation

Decimal	346777
Binary	1010100101010011001 (19 bits)
Octal	0o1245231
Hexadecimal	0x54A99

Divisor Catalog (4)

1 577 601 346,777

Collatz Trajectory (303 steps to reach 1)

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

346,777 1,040,332 520,166 260,083 780,250 390,125 1,170,376 585,188 292,594 146,297 438,892 219,446 109,723 329,170 164,585 493,756 246,878 123,439 370,318 185,159 555,478 277,739 833,218 416,609 1,249,828 624,914 312,457 937,372 468,686 234,343 703,030 351,515 1,054,546 527,273 1,581,820 790,910 395,455 1,186,366 593,183 1,779,550 889,775 2,669,326 1,334,663 4,003,990 2,001,995 6,005,986 3,002,993 9,008,980 4,504,490 2,252,245 6,756,736 3,378,368 1,689,184 844,592 422,296 211,148 105,574 52,787 158,362 79,181

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