2,907,593

13 × 191 × 1171

Starting at 2,907,593, the Collatz iteration reaches 1 after 213 steps. The first transition is 8722780; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 191 × 1171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,150,336

Proper Divisor Sum 242,743

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2907577 ← → #2907601

Radix Representation

Decimal	2907593
Binary	1011000101110111001001 (22 bits)
Octal	0o13056711
Hexadecimal	0x2C5DC9

Divisor Catalog (8)

1 13 191 1,171 2,483 15,223 223,661 2,907,593

Collatz Trajectory (213 steps to reach 1)

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

2,907,593 8,722,780 4,361,390 2,180,695 6,542,086 3,271,043 9,813,130 4,906,565 14,719,696 7,359,848 3,679,924 1,839,962 919,981 2,759,944 1,379,972 689,986 344,993 1,034,980 517,490 258,745 776,236 388,118 194,059 582,178 291,089 873,268 436,634 218,317 654,952 327,476 163,738 81,869 245,608 122,804 61,402 30,701 92,104 46,052 23,026 11,513 34,540 17,270 8,635 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448

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