1,923,824

2⁴ × 7 × 89 × 193

Starting at 1,923,824, the Collatz iteration reaches 1 after 215 steps. The first transition is 961912; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 89 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,330,080

Proper Divisor Sum 2,406,256

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1923811 ← → #1923833

Radix Representation

Decimal	1923824
Binary	111010101101011110000 (21 bits)
Octal	0o7255360
Hexadecimal	0x1D5AF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 89 112 178 193 356 386 623 712 772 1,246 1,351 1,424 1,544 2,492 2,702 3,088 4,984 5,404 9,968 10,808 17,177 21,616 34,354 68,708 120,239 137,416 240,478 274,832 480,956 961,912 1,923,824

Collatz Trajectory (215 steps to reach 1)

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

1,923,824 961,912 480,956 240,478 120,239 360,718 180,359 541,078 270,539 811,618 405,809 1,217,428 608,714 304,357 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035

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