2,562,353

29 × 149 × 593

Starting at 2,562,353, the Collatz iteration reaches 1 after 210 steps. The first transition is 7687060; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 149 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,673,000

Proper Divisor Sum 110,647

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2562349 ← → #2562383

Radix Representation

Decimal	2562353
Binary	1001110001100100110001 (22 bits)
Octal	0o11614461
Hexadecimal	0x271931

Divisor Catalog (8)

1 29 149 593 4,321 17,197 88,357 2,562,353

Collatz Trajectory (210 steps to reach 1)

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

2,562,353 7,687,060 3,843,530 1,921,765 5,765,296 2,882,648 1,441,324 720,662 360,331 1,080,994 540,497 1,621,492 810,746 405,373 1,216,120 608,060 304,030 152,015 456,046 228,023 684,070 342,035 1,026,106 513,053 1,539,160 769,580 384,790 192,395 577,186 288,593 865,780 432,890 216,445 649,336 324,668 162,334 81,167 243,502 121,751 365,254 182,627 547,882 273,941 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522

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