2,983,827

3 × 7 × 11 × 12917

Starting at 2,983,827, the Collatz iteration reaches 1 after 120 steps. The first transition is 8951482; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 12917

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,960,512

Proper Divisor Sum 1,976,685

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2983819 ← → #2983831

Radix Representation

Decimal	2983827
Binary	1011011000011110010011 (22 bits)
Octal	0o13303623
Hexadecimal	0x2D8793

Divisor Catalog (16)

1 3 7 11 21 33 77 231 12,917 38,751 90,419 142,087 271,257 426,261 994,609 2,983,827

Collatz Trajectory (120 steps to reach 1)

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

2,983,827 8,951,482 4,475,741 13,427,224 6,713,612 3,356,806 1,678,403 5,035,210 2,517,605 7,552,816 3,776,408 1,888,204 944,102 472,051 1,416,154 708,077 2,124,232 1,062,116 531,058 265,529 796,588 398,294 199,147 597,442 298,721 896,164 448,082 224,041 672,124 336,062 168,031 504,094 252,047 756,142 378,071 1,134,214 567,107 1,701,322 850,661 2,551,984 1,275,992 637,996 318,998 159,499 478,498 239,249 717,748 358,874 179,437 538,312 269,156 134,578 67,289 201,868 100,934 50,467 151,402 75,701 227,104 113,552

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