3,782,702

2 × 7² × 11³ × 29

3,782,702 has digital root 2. The neighboring primes are 3782699 and 3782773; its proper-divisor sum differs from the starting integer by -55,084.

Prime Factor Structure

Factorization String 2 × 7^2 × 11^3 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,510,320

Proper Divisor Sum 3,727,618

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3782699 ← → #3782773

Radix Representation

Decimal	3782702
Binary	1110011011100000101110 (22 bits)
Octal	0o16334056
Hexadecimal	0x39B82E

Divisor Catalog (48)

1 2 7 11 14 22 29 49 58 77 98 121 154 203 242 319 406 539 638 847 1,078 1,331 1,421 1,694 2,233 2,662 2,842 3,509 4,466 5,929 7,018 9,317 11,858 15,631 18,634 24,563 31,262 38,599 49,126 65,219 77,198 130,438 171,941 270,193 343,882 540,386 1,891,351 3,782,702

Collatz Trajectory (247 steps to reach 1)

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

3,782,702 1,891,351 5,674,054 2,837,027 8,511,082 4,255,541 12,766,624 6,383,312 3,191,656 1,595,828 797,914 398,957 1,196,872 598,436 299,218 149,609 448,828 224,414 112,207 336,622 168,311 504,934 252,467 757,402 378,701 1,136,104 568,052 284,026 142,013 426,040 213,020 106,510 53,255 159,766 79,883 239,650 119,825 359,476 179,738 89,869 269,608 134,804 67,402 33,701 101,104 50,552 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996

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