2,820,454

2 × 7 × 13 × 15497

Starting at 2,820,454, the Collatz iteration reaches 1 after 182 steps. The first transition is 1410227; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 15497

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,207,328

Proper Divisor Sum 2,386,874

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2820407 ← → #2820479

Radix Representation

Decimal	2820454
Binary	1010110000100101100110 (22 bits)
Octal	0o12604546
Hexadecimal	0x2B0966

Divisor Catalog (16)

1 2 7 13 14 26 91 182 15,497 30,994 108,479 201,461 216,958 402,922 1,410,227 2,820,454

Collatz Trajectory (182 steps to reach 1)

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

2,820,454 1,410,227 4,230,682 2,115,341 6,346,024 3,173,012 1,586,506 793,253 2,379,760 1,189,880 594,940 297,470 148,735 446,206 223,103 669,310 334,655 1,003,966 501,983 1,505,950 752,975 2,258,926 1,129,463 3,388,390 1,694,195 5,082,586 2,541,293 7,623,880 3,811,940 1,905,970 952,985 2,858,956 1,429,478 714,739 2,144,218 1,072,109 3,216,328 1,608,164 804,082 402,041 1,206,124 603,062 301,531 904,594 452,297 1,356,892 678,446 339,223 1,017,670 508,835 1,526,506 763,253 2,289,760 1,144,880 572,440 286,220 143,110 71,555 214,666 107,333

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