3,016,002

2 × 3 × 11 × 45697

Starting at 3,016,002, the Collatz iteration reaches 1 after 257 steps. The first transition is 1508001; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 45697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,580,512

Proper Divisor Sum 3,564,510

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3015997 ← → #3016007

Radix Representation

Decimal	3016002
Binary	1011100000010101000010 (22 bits)
Octal	0o13402502
Hexadecimal	0x2E0542

Divisor Catalog (16)

1 2 3 6 11 22 33 66 45,697 91,394 137,091 274,182 502,667 1,005,334 1,508,001 3,016,002

Collatz Trajectory (257 steps to reach 1)

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

3,016,002 1,508,001 4,524,004 2,262,002 1,131,001 3,393,004 1,696,502 848,251 2,544,754 1,272,377 3,817,132 1,908,566 954,283 2,862,850 1,431,425 4,294,276 2,147,138 1,073,569 3,220,708 1,610,354 805,177 2,415,532 1,207,766 603,883 1,811,650 905,825 2,717,476 1,358,738 679,369 2,038,108 1,019,054 509,527 1,528,582 764,291 2,292,874 1,146,437 3,439,312 1,719,656 859,828 429,914 214,957 644,872 322,436 161,218 80,609 241,828 120,914 60,457 181,372 90,686 45,343 136,030 68,015 204,046 102,023 306,070 153,035 459,106 229,553 688,660

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