2,151,254

2 × 7 × 37 × 4153

Starting at 2,151,254, the Collatz iteration reaches 1 after 197 steps. The first transition is 1075627; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 4153

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,788,448

Proper Divisor Sum 1,637,194

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2151251 ← → #2151263

Radix Representation

Decimal	2151254
Binary	1000001101001101010110 (22 bits)
Octal	0o10151526
Hexadecimal	0x20D356

Divisor Catalog (16)

1 2 7 14 37 74 259 518 4,153 8,306 29,071 58,142 153,661 307,322 1,075,627 2,151,254

Collatz Trajectory (197 steps to reach 1)

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

2,151,254 1,075,627 3,226,882 1,613,441 4,840,324 2,420,162 1,210,081 3,630,244 1,815,122 907,561 2,722,684 1,361,342 680,671 2,042,014 1,021,007 3,063,022 1,531,511 4,594,534 2,297,267 6,891,802 3,445,901 10,337,704 5,168,852 2,584,426 1,292,213 3,876,640 1,938,320 969,160 484,580 242,290 121,145 363,436 181,718 90,859 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645

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