3,739,492

2² × 29 × 32237

3,739,492 factors as 2^2 × 29 × 32237. Its 12 positive divisors give a proper-divisor sum of 3,030,488, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 32237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,769,980

Proper Divisor Sum 3,030,488

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3739481 ← → #3739493

Radix Representation

Decimal	3739492
Binary	1110010000111101100100 (22 bits)
Octal	0o16207544
Hexadecimal	0x390F64

Divisor Catalog (12)

1 2 4 29 58 116 32,237 64,474 128,948 934,873 1,869,746 3,739,492

Collatz Trajectory (172 steps to reach 1)

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

3,739,492 1,869,746 934,873 2,804,620 1,402,310 701,155 2,103,466 1,051,733 3,155,200 1,577,600 788,800 394,400 197,200 98,600 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661

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