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4,452,045

3 × 5 × 13 × 172 × 79
Deficient Odd Composite

4,452,045 factors as 3 × 5 × 13 × 17^2 × 79. Its 48 positive divisors give a proper-divisor sum of 3,800,115, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17^2 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,252,160
Proper Divisor Sum 3,800,115
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4452043 ← → #4452073

Radix Representation

Decimal 4452045
Binary 10000111110111011001101 (23 bits)
Octal 0o20767315
Hexadecimal 0x43EECD

Divisor Catalog (48)

1 3 5 13 15 17 39 51 65 79 85 195 221 237 255 289 395 663 867 1,027 1,105 1,185 1,343 1,445 3,081 3,315 3,757 4,029 4,335 5,135 6,715 11,271 15,405 17,459 18,785 20,145 22,831 52,377 56,355 68,493 87,295 114,155 261,885 296,803 342,465 890,409 1,484,015 4,452,045

Collatz Trajectory (193 steps to reach 1)

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

4,452,045 13,356,136 6,678,068 3,339,034 1,669,517 5,008,552 2,504,276 1,252,138 626,069 1,878,208 939,104 469,552 234,776 117,388 58,694 29,347 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492

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