302,601

3 × 13 × 7759

Starting at 302,601, the Collatz iteration reaches 1 after 109 steps. The first transition is 907804; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 7759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 434,560

Proper Divisor Sum 131,959

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #302597 ← → #302609

Radix Representation

Decimal	302601
Binary	1001001111000001001 (19 bits)
Octal	0o1117011
Hexadecimal	0x49E09

Divisor Catalog (8)

1 3 13 39 7,759 23,277 100,867 302,601

Collatz Trajectory (109 steps to reach 1)

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

302,601 907,804 453,902 226,951 680,854 340,427 1,021,282 510,641 1,531,924 765,962 382,981 1,148,944 574,472 287,236 143,618 71,809 215,428 107,714 53,857 161,572 80,786 40,393 121,180 60,590 30,295 90,886 45,443 136,330 68,165 204,496 102,248 51,124 25,562 12,781 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924

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