3,682,105

5 × 7³ × 19 × 113

3,682,105 has digital root 7. The neighboring primes are 3682103 and 3682109; its proper-divisor sum differs from the starting integer by -1,892,210.

Prime Factor Structure

Factorization String 5 × 7^3 × 19 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,472,000

Proper Divisor Sum 1,789,895

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3682103 ← → #3682109

Radix Representation

Decimal	3682105
Binary	1110000010111100111001 (22 bits)
Octal	0o16027471
Hexadecimal	0x382F39

Divisor Catalog (32)

1 5 7 19 35 49 95 113 133 245 343 565 665 791 931 1,715 2,147 3,955 4,655 5,537 6,517 10,735 15,029 27,685 32,585 38,759 75,145 105,203 193,795 526,015 736,421 3,682,105

Collatz Trajectory (265 steps to reach 1)

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

3,682,105 11,046,316 5,523,158 2,761,579 8,284,738 4,142,369 12,427,108 6,213,554 3,106,777 9,320,332 4,660,166 2,330,083 6,990,250 3,495,125 10,485,376 5,242,688 2,621,344 1,310,672 655,336 327,668 163,834 81,917 245,752 122,876 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958 1,180,979 3,542,938 1,771,469 5,314,408 2,657,204 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760

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