1,930,224

2⁴ × 3 × 40213

Starting at 1,930,224, the Collatz iteration reaches 1 after 109 steps. The first transition is 965112; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 40213

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,986,536

Proper Divisor Sum 3,056,312

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1930219 ← → #1930237

Radix Representation

Decimal	1930224
Binary	111010111001111110000 (21 bits)
Octal	0o7271760
Hexadecimal	0x1D73F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 40,213 80,426 120,639 160,852 241,278 321,704 482,556 643,408 965,112 1,930,224

Collatz Trajectory (109 steps to reach 1)

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

1,930,224 965,112 482,556 241,278 120,639 361,918 180,959 542,878 271,439 814,318 407,159 1,221,478 610,739 1,832,218 916,109 2,748,328 1,374,164 687,082 343,541 1,030,624 515,312 257,656 128,828 64,414 32,207 96,622 48,311 144,934 72,467 217,402 108,701 326,104 163,052 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042

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