3,013,624

2³ × 17 × 22159

3,013,624 factors as 2^3 × 17 × 22159. Its 16 positive divisors give a proper-divisor sum of 2,969,576, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 22159

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,983,200

Proper Divisor Sum 2,969,576

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3013601 ← → #3013639

Radix Representation

Decimal	3013624
Binary	1011011111101111111000 (22 bits)
Octal	0o13375770
Hexadecimal	0x2DFBF8

Divisor Catalog (16)

1 2 4 8 17 34 68 136 22,159 44,318 88,636 177,272 376,703 753,406 1,506,812 3,013,624

Collatz Trajectory (164 steps to reach 1)

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

3,013,624 1,506,812 753,406 376,703 1,130,110 565,055 1,695,166 847,583 2,542,750 1,271,375 3,814,126 1,907,063 5,721,190 2,860,595 8,581,786 4,290,893 12,872,680 6,436,340 3,218,170 1,609,085 4,827,256 2,413,628 1,206,814 603,407 1,810,222 905,111 2,715,334 1,357,667 4,073,002 2,036,501 6,109,504 3,054,752 1,527,376 763,688 381,844 190,922 95,461 286,384 143,192 71,596 35,798 17,899 53,698 26,849 80,548 40,274 20,137 60,412 30,206 15,103 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695

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