3,977,073

3³ × 147299

3,977,073 factors as 3^3 × 147299. Its 8 positive divisors give a proper-divisor sum of 1,914,927, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^3 × 147299

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,892,000

Proper Divisor Sum 1,914,927

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3977069 ← → #3977081

Radix Representation

Decimal	3977073
Binary	1111001010111101110001 (22 bits)
Octal	0o17127561
Hexadecimal	0x3CAF71

Divisor Catalog (8)

1 3 9 27 147,299 441,897 1,325,691 3,977,073

Collatz Trajectory (154 steps to reach 1)

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

3,977,073 11,931,220 5,965,610 2,982,805 8,948,416 4,474,208 2,237,104 1,118,552 559,276 279,638 139,819 419,458 209,729 629,188 314,594 157,297 471,892 235,946 117,973 353,920 176,960 88,480 44,240 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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