2,829,177

3² × 13 × 24181

2,829,177 factors as 3^2 × 13 × 24181. Its 12 positive divisors give a proper-divisor sum of 1,571,947, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 24181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,401,124

Proper Divisor Sum 1,571,947

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2829173 ← → #2829217

Radix Representation

Decimal	2829177
Binary	1010110010101101111001 (22 bits)
Octal	0o12625571
Hexadecimal	0x2B2B79

Divisor Catalog (12)

1 3 9 13 39 117 24,181 72,543 217,629 314,353 943,059 2,829,177

Collatz Trajectory (156 steps to reach 1)

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

2,829,177 8,487,532 4,243,766 2,121,883 6,365,650 3,182,825 9,548,476 4,774,238 2,387,119 7,161,358 3,580,679 10,742,038 5,371,019 16,113,058 8,056,529 24,169,588 12,084,794 6,042,397 18,127,192 9,063,596 4,531,798 2,265,899 6,797,698 3,398,849 10,196,548 5,098,274 2,549,137 7,647,412 3,823,706 1,911,853 5,735,560 2,867,780 1,433,890 716,945 2,150,836 1,075,418 537,709 1,613,128 806,564 403,282 201,641 604,924 302,462 151,231 453,694 226,847 680,542 340,271 1,020,814 510,407 1,531,222 765,611 2,296,834 1,148,417 3,445,252 1,722,626 861,313 2,583,940 1,291,970 645,985

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