2,083,248

2⁴ × 3² × 17 × 23 × 37

Starting at 2,083,248, the Collatz iteration reaches 1 after 104 steps. The first transition is 1041624; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 23 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 6,615,648

Proper Divisor Sum 4,532,400

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2083247 ← → #2083261

Radix Representation

Decimal	2083248
Binary	111111100100110110000 (21 bits)
Octal	0o7744660
Hexadecimal	0x1FC9B0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 37 46 48 51 68 69 72 74 92 102 111 136 138 144 148 153 184 204 207 222 272 276 296 306 333 368 391 408 414 444 552 592 612 629 666 782 816 828 851 888 1,104 1,173 1,224 1,258 1,332

Collatz Trajectory (104 steps to reach 1)

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

2,083,248 1,041,624 520,812 260,406 130,203 390,610 195,305 585,916 292,958 146,479 439,438 219,719 659,158 329,579 988,738 494,369 1,483,108 741,554 370,777 1,112,332 556,166 278,083 834,250 417,125 1,251,376 625,688 312,844 156,422 78,211 234,634 117,317 351,952 175,976 87,988 43,994 21,997 65,992 32,996 16,498 8,249 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204

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