1,397,848

2³ × 23 × 71 × 107

Starting at 1,397,848, the Collatz iteration reaches 1 after 168 steps. The first transition is 698924; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 23 × 71 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,799,360

Proper Divisor Sum 1,401,512

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #1397839 ← → #1397857

Radix Representation

Decimal	1397848
Binary	101010101010001011000 (21 bits)
Octal	0o5252130
Hexadecimal	0x155458

Divisor Catalog (32)

1 2 4 8 23 46 71 92 107 142 184 214 284 428 568 856 1,633 2,461 3,266 4,922 6,532 7,597 9,844 13,064 15,194 19,688 30,388 60,776 174,731 349,462 698,924 1,397,848

Collatz Trajectory (168 steps to reach 1)

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

1,397,848 698,924 349,462 174,731 524,194 262,097 786,292 393,146 196,573 589,720 294,860 147,430 73,715 221,146 110,573 331,720 165,860 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207

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