3,437,523

3² × 193 × 1979

3,437,523 has digital root 9. The neighboring primes are 3437521 and 3437543; its proper-divisor sum differs from the starting integer by -1,881,486.

Prime Factor Structure

Factorization String 3^2 × 193 × 1979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,993,560

Proper Divisor Sum 1,556,037

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3437521 ← → #3437543

Radix Representation

Decimal	3437523
Binary	1101000111001111010011 (22 bits)
Octal	0o15071723
Hexadecimal	0x3473D3

Divisor Catalog (12)

1 3 9 193 579 1,737 1,979 5,937 17,811 381,947 1,145,841 3,437,523

Collatz Trajectory (128 steps to reach 1)

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

3,437,523 10,312,570 5,156,285 15,468,856 7,734,428 3,867,214 1,933,607 5,800,822 2,900,411 8,701,234 4,350,617 13,051,852 6,525,926 3,262,963 9,788,890 4,894,445 14,683,336 7,341,668 3,670,834 1,835,417 5,506,252 2,753,126 1,376,563 4,129,690 2,064,845 6,194,536 3,097,268 1,548,634 774,317 2,322,952 1,161,476 580,738 290,369 871,108 435,554 217,777 653,332 326,666 163,333 490,000 245,000 122,500 61,250 30,625 91,876 45,938 22,969 68,908 34,454 17,227 51,682 25,841 77,524 38,762 19,381 58,144 29,072 14,536 7,268 3,634

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