1,346,163

3 × 7 × 13 × 4931

Starting at 1,346,163, the Collatz iteration reaches 1 after 142 steps. The first transition is 4038490; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 4931

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,209,536

Proper Divisor Sum 863,373

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1346161 ← → #1346173

Radix Representation

Decimal	1346163
Binary	101001000101001110011 (21 bits)
Octal	0o5105163
Hexadecimal	0x148A73

Divisor Catalog (16)

1 3 7 13 21 39 91 273 4,931 14,793 34,517 64,103 103,551 192,309 448,721 1,346,163

Collatz Trajectory (142 steps to reach 1)

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

1,346,163 4,038,490 2,019,245 6,057,736 3,028,868 1,514,434 757,217 2,271,652 1,135,826 567,913 1,703,740 851,870 425,935 1,277,806 638,903 1,916,710 958,355 2,875,066 1,437,533 4,312,600 2,156,300 1,078,150 539,075 1,617,226 808,613 2,425,840 1,212,920 606,460 303,230 151,615 454,846 227,423 682,270 341,135 1,023,406 511,703 1,535,110 767,555 2,302,666 1,151,333 3,454,000 1,727,000 863,500 431,750 215,875 647,626 323,813 971,440 485,720 242,860 121,430 60,715 182,146 91,073 273,220 136,610 68,305 204,916 102,458 51,229

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