1,516,941

3³ × 19 × 2957

Starting at 1,516,941, the Collatz iteration reaches 1 after 80 steps. The first transition is 4550824; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 19 × 2957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,366,400

Proper Divisor Sum 849,459

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1516909 ← → #1516951

Radix Representation

Decimal	1516941
Binary	101110010010110001101 (21 bits)
Octal	0o5622615
Hexadecimal	0x17258D

Divisor Catalog (16)

1 3 9 19 27 57 171 513 2,957 8,871 26,613 56,183 79,839 168,549 505,647 1,516,941

Collatz Trajectory (80 steps to reach 1)

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

1,516,941 4,550,824 2,275,412 1,137,706 568,853 1,706,560 853,280 426,640 213,320 106,660 53,330 26,665 79,996 39,998 19,999 59,998 29,999 89,998 44,999 134,998 67,499 202,498 101,249 303,748 151,874 75,937 227,812 113,906 56,953 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604

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