3,046,839

3 × 37 × 27449

Starting at 3,046,839, the Collatz iteration reaches 1 after 81 steps. The first transition is 9140518; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 27449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,172,400

Proper Divisor Sum 1,125,561

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3046837 ← → #3046871

Radix Representation

Decimal	3046839
Binary	1011100111110110110111 (22 bits)
Octal	0o13476667
Hexadecimal	0x2E7DB7

Divisor Catalog (8)

1 3 37 111 27,449 82,347 1,015,613 3,046,839

Collatz Trajectory (81 steps to reach 1)

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

3,046,839 9,140,518 4,570,259 13,710,778 6,855,389 20,566,168 10,283,084 5,141,542 2,570,771 7,712,314 3,856,157 11,568,472 5,784,236 2,892,118 1,446,059 4,338,178 2,169,089 6,507,268 3,253,634 1,626,817 4,880,452 2,440,226 1,220,113 3,660,340 1,830,170 915,085 2,745,256 1,372,628 686,314 343,157 1,029,472 514,736 257,368 128,684 64,342 32,171 96,514 48,257 144,772 72,386 36,193 108,580 54,290 27,145 81,436 40,718 20,359 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768 12,884 6,442 3,221

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