1,398,792

2³ × 3 × 167 × 349

Starting at 1,398,792, the Collatz iteration reaches 1 after 106 steps. The first transition is 699396; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 167 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,528,000

Proper Divisor Sum 2,129,208

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1398781 ← → #1398841

Radix Representation

Decimal	1398792
Binary	101010101100000001000 (21 bits)
Octal	0o5254010
Hexadecimal	0x155808

Divisor Catalog (32)

1 2 3 4 6 8 12 24 167 334 349 501 668 698 1,002 1,047 1,336 1,396 2,004 2,094 2,792 4,008 4,188 8,376 58,283 116,566 174,849 233,132 349,698 466,264 699,396 1,398,792

Collatz Trajectory (106 steps to reach 1)

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

1,398,792 699,396 349,698 174,849 524,548 262,274 131,137 393,412 196,706 98,353 295,060 147,530 73,765 221,296 110,648 55,324 27,662 13,831 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247

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