36,033,741

3⁶ × 49429

36,033,741 factors as 3^6 × 49429. Its 14 positive divisors give a proper-divisor sum of 17,993,249, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^6 × 49429

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 54,026,990

Proper Divisor Sum 17,993,249

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #36033721 ← → #36033743

Radix Representation

Decimal	36033741
Binary	10001001011101010011001101 (26 bits)
Octal	0o211352315
Hexadecimal	0x225D4CD

Divisor Catalog (14)

1 3 9 27 81 243 729 49,429 148,287 444,861 1,334,583 4,003,749 12,011,247 36,033,741

Collatz Trajectory (95 steps to reach 1)

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

36,033,741 108,101,224 54,050,612 27,025,306 13,512,653 40,537,960 20,268,980 10,134,490 5,067,245 15,201,736 7,600,868 3,800,434 1,900,217 5,700,652 2,850,326 1,425,163 4,275,490 2,137,745 6,413,236 3,206,618 1,603,309 4,809,928 2,404,964 1,202,482 601,241 1,803,724 901,862 450,931 1,352,794 676,397 2,029,192 1,014,596 507,298 253,649 760,948 380,474 190,237 570,712 285,356 142,678 71,339 214,018 107,009 321,028 160,514 80,257 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092

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