2,931,981

3 × 13² × 5783

Starting at 2,931,981, the Collatz iteration reaches 1 after 200 steps. The first transition is 8795944; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^2 × 5783

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,233,888

Proper Divisor Sum 1,301,907

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2931961 ← → #2931983

Radix Representation

Decimal	2931981
Binary	1011001011110100001101 (22 bits)
Octal	0o13136415
Hexadecimal	0x2CBD0D

Divisor Catalog (12)

1 3 13 39 169 507 5,783 17,349 75,179 225,537 977,327 2,931,981

Collatz Trajectory (200 steps to reach 1)

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

2,931,981 8,795,944 4,397,972 2,198,986 1,099,493 3,298,480 1,649,240 824,620 412,310 206,155 618,466 309,233 927,700 463,850 231,925 695,776 347,888 173,944 86,972 43,486 21,743 65,230 32,615 97,846 48,923 146,770 73,385 220,156 110,078 55,039 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951

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