3,004,798

2 × 461 × 3259

Starting at 3,004,798, the Collatz iteration reaches 1 after 164 steps. The first transition is 1502399; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 461 × 3259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,518,360

Proper Divisor Sum 1,513,562

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3004787 ← → #3004829

Radix Representation

Decimal	3004798
Binary	1011011101100101111110 (22 bits)
Octal	0o13354576
Hexadecimal	0x2DD97E

Divisor Catalog (8)

1 2 461 922 3,259 6,518 1,502,399 3,004,798

Collatz Trajectory (164 steps to reach 1)

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

3,004,798 1,502,399 4,507,198 2,253,599 6,760,798 3,380,399 10,141,198 5,070,599 15,211,798 7,605,899 22,817,698 11,408,849 34,226,548 17,113,274 8,556,637 25,669,912 12,834,956 6,417,478 3,208,739 9,626,218 4,813,109 14,439,328 7,219,664 3,609,832 1,804,916 902,458 451,229 1,353,688 676,844 338,422 169,211 507,634 253,817 761,452 380,726 190,363 571,090 285,545 856,636 428,318 214,159 642,478 321,239 963,718 481,859 1,445,578 722,789 2,168,368 1,084,184 542,092 271,046 135,523 406,570 203,285 609,856 304,928 152,464 76,232 38,116 19,058

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