1,212,016

2⁴ × 13 × 5827

Starting at 1,212,016, the Collatz iteration reaches 1 after 111 steps. The first transition is 606008; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 5827

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,529,352

Proper Divisor Sum 1,317,336

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1212011 ← → #1212017

Radix Representation

Decimal	1212016
Binary	100100111111001110000 (21 bits)
Octal	0o4477160
Hexadecimal	0x127E70

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 5,827 11,654 23,308 46,616 75,751 93,232 151,502 303,004 606,008 1,212,016

Collatz Trajectory (111 steps to reach 1)

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

1,212,016 606,008 303,004 151,502 75,751 227,254 113,627 340,882 170,441 511,324 255,662 127,831 383,494 191,747 575,242 287,621 862,864 431,432 215,716 107,858 53,929 161,788 80,894 40,447 121,342 60,671 182,014 91,007 273,022 136,511 409,534 204,767 614,302 307,151 921,454 460,727 1,382,182 691,091 2,073,274 1,036,637 3,109,912 1,554,956 777,478 388,739 1,166,218 583,109 1,749,328 874,664 437,332 218,666 109,333 328,000 164,000 82,000 41,000 20,500 10,250 5,125 15,376 7,688

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