3,492,993

3 × 7 × 47 × 3539

3,492,993 has digital root 3. The neighboring primes are 3492991 and 3493001; its proper-divisor sum differs from the starting integer by -1,548,546.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 3539

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,437,440

Proper Divisor Sum 1,944,447

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3492991 ← → #3493001

Radix Representation

Decimal	3492993
Binary	1101010100110010000001 (22 bits)
Octal	0o15246201
Hexadecimal	0x354C81

Divisor Catalog (16)

1 3 7 21 47 141 329 987 3,539 10,617 24,773 74,319 166,333 498,999 1,164,331 3,492,993

Collatz Trajectory (159 steps to reach 1)

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

3,492,993 10,478,980 5,239,490 2,619,745 7,859,236 3,929,618 1,964,809 5,894,428 2,947,214 1,473,607 4,420,822 2,210,411 6,631,234 3,315,617 9,946,852 4,973,426 2,486,713 7,460,140 3,730,070 1,865,035 5,595,106 2,797,553 8,392,660 4,196,330 2,098,165 6,294,496 3,147,248 1,573,624 786,812 393,406 196,703 590,110 295,055 885,166 442,583 1,327,750 663,875 1,991,626 995,813 2,987,440 1,493,720 746,860 373,430 186,715 560,146 280,073 840,220 420,110 210,055 630,166 315,083 945,250 472,625 1,417,876 708,938 354,469 1,063,408 531,704 265,852 132,926

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