1,388,968

2³ × 7 × 17 × 1459

Starting at 1,388,968, the Collatz iteration reaches 1 after 168 steps. The first transition is 694484; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 1459

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,153,600

Proper Divisor Sum 1,764,632

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #1388963 ← → #1388969

Radix Representation

Decimal	1388968
Binary	101010011000110101000 (21 bits)
Octal	0o5230650
Hexadecimal	0x1531A8

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1,459 2,918 5,836 10,213 11,672 20,426 24,803 40,852 49,606 81,704 99,212 173,621 198,424 347,242 694,484 1,388,968

Collatz Trajectory (168 steps to reach 1)

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

1,388,968 694,484 347,242 173,621 520,864 260,432 130,216 65,108 32,554 16,277 48,832 24,416 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250

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