3,141,768

2³ × 3 × 7 × 18701

Starting at 3,141,768, the Collatz iteration reaches 1 after 71 steps. The first transition is 1570884; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 18701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,976,960

Proper Divisor Sum 5,835,192

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3141763 ← → #3141769

Radix Representation

Decimal	3141768
Binary	1011111111000010001000 (22 bits)
Octal	0o13770210
Hexadecimal	0x2FF088

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 18,701 37,402 56,103 74,804 112,206 130,907 149,608 224,412 261,814 392,721 448,824 523,628 785,442 1,047,256 1,570,884 3,141,768

Collatz Trajectory (71 steps to reach 1)

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

3,141,768 1,570,884 785,442 392,721 1,178,164 589,082 294,541 883,624 441,812 220,906 110,453 331,360 165,680 82,840 41,420 20,710 10,355 31,066 15,533 46,600 23,300 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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