1,398,192

2⁴ × 3 × 29129

Starting at 1,398,192, the Collatz iteration reaches 1 after 106 steps. The first transition is 699096; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 29129

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,612,120

Proper Divisor Sum 2,213,928

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1398161 ← → #1398197

Radix Representation

Decimal	1398192
Binary	101010101010110110000 (21 bits)
Octal	0o5252660
Hexadecimal	0x1555B0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 29,129 58,258 87,387 116,516 174,774 233,032 349,548 466,064 699,096 1,398,192

Collatz Trajectory (106 steps to reach 1)

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

1,398,192 699,096 349,548 174,774 87,387 262,162 131,081 393,244 196,622 98,311 294,934 147,467 442,402 221,201 663,604 331,802 165,901 497,704 248,852 124,426 62,213 186,640 93,320 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 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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