3,993,808

2⁴ × 7 × 13² × 211

3,993,808 has digital root 4. The neighboring primes are 3993791 and 3993833; its proper-divisor sum differs from the starting integer by 1,633,792.

Prime Factor Structure

Factorization String 2^4 × 7 × 13^2 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 9,621,408

Proper Divisor Sum 5,627,600

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3993791 ← → #3993833

Radix Representation

Decimal	3993808
Binary	1111001111000011010000 (22 bits)
Octal	0o17170320
Hexadecimal	0x3CF0D0

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 211 338 364 422 676 728 844 1,183 1,352 1,456 1,477 1,688 2,366 2,704 2,743 2,954 3,376 4,732 5,486 5,908 9,464 10,972 11,816 18,928 19,201 21,944 23,632 35,659 38,402 43,888 71,318 76,804 142,636 153,608 249,613 285,272 307,216 499,226 570,544 998,452 1,996,904 3,993,808

Collatz Trajectory (154 steps to reach 1)

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

3,993,808 1,996,904 998,452 499,226 249,613 748,840 374,420 187,210 93,605 280,816 140,408 70,204 35,102 17,551 52,654 26,327 78,982 39,491 118,474 59,237 177,712 88,856 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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