2,949,165

3² × 5 × 65537

2,949,165 factors as 3^2 × 5 × 65537. Its 12 positive divisors give a proper-divisor sum of 2,162,799, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 65537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,111,964

Proper Divisor Sum 2,162,799

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2949151 ← → #2949169

Radix Representation

Decimal	2949165
Binary	1011010000000000101101 (22 bits)
Octal	0o13200055
Hexadecimal	0x2D002D

Divisor Catalog (12)

1 3 5 9 15 45 65,537 196,611 327,685 589,833 983,055 2,949,165

Collatz Trajectory (138 steps to reach 1)

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

2,949,165 8,847,496 4,423,748 2,211,874 1,105,937 3,317,812 1,658,906 829,453 2,488,360 1,244,180 622,090 311,045 933,136 466,568 233,284 116,642 58,321 174,964 87,482 43,741 131,224 65,612 32,806 16,403 49,210 24,605 73,816 36,908 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526

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