3,480,274

2 × 7² × 17 × 2089

3,480,274 has digital root 1. The neighboring primes are 3480271 and 3480283; its proper-divisor sum differs from the starting integer by -527,528.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 2089

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,433,020

Proper Divisor Sum 2,952,746

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3480271 ← → #3480283

Radix Representation

Decimal	3480274
Binary	1101010001101011010010 (22 bits)
Octal	0o15215322
Hexadecimal	0x351AD2

Divisor Catalog (24)

1 2 7 14 17 34 49 98 119 238 833 1,666 2,089 4,178 14,623 29,246 35,513 71,026 102,361 204,722 248,591 497,182 1,740,137 3,480,274

Collatz Trajectory (146 steps to reach 1)

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

3,480,274 1,740,137 5,220,412 2,610,206 1,305,103 3,915,310 1,957,655 5,872,966 2,936,483 8,809,450 4,404,725 13,214,176 6,607,088 3,303,544 1,651,772 825,886 412,943 1,238,830 619,415 1,858,246 929,123 2,787,370 1,393,685 4,181,056 2,090,528 1,045,264 522,632 261,316 130,658 65,329 195,988 97,994 48,997 146,992 73,496 36,748 18,374 9,187 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

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