2,774,101

11 × 41 × 6151

Starting at 2,774,101, the Collatz iteration reaches 1 after 200 steps. The first transition is 8322304; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 41 × 6151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,100,608

Proper Divisor Sum 326,507

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2774089 ← → #2774117

Radix Representation

Decimal	2774101
Binary	1010100101010001010101 (22 bits)
Octal	0o12452125
Hexadecimal	0x2A5455

Divisor Catalog (8)

1 11 41 451 6,151 67,661 252,191 2,774,101

Collatz Trajectory (200 steps to reach 1)

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

2,774,101 8,322,304 4,161,152 2,080,576 1,040,288 520,144 260,072 130,036 65,018 32,509 97,528 48,764 24,382 12,191 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599

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