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Atlas › Integer Profiles › Node 1,662,045

1,662,045

3 × 5 × 7 × 11 × 1439
Deficient Odd Composite

1,662,045 factors as 3 × 5 × 7 × 11 × 1439. Its 32 positive divisors give a proper-divisor sum of 1,655,715, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 1439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,317,760
Proper Divisor Sum 1,655,715
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1662041 ← → #1662083

Radix Representation

Decimal 1662045
Binary 110010101110001011101 (21 bits)
Octal 0o6256135
Hexadecimal 0x195C5D

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 1,439 4,317 7,195 10,073 15,829 21,585 30,219 47,487 50,365 79,145 110,803 151,095 237,435 332,409 554,015 1,662,045

Collatz Trajectory (114 steps to reach 1)

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

1,662,045 4,986,136 2,493,068 1,246,534 623,267 1,869,802 934,901 2,804,704 1,402,352 701,176 350,588 175,294 87,647 262,942 131,471 394,414 197,207 591,622 295,811 887,434 443,717 1,331,152 665,576 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598 46,799 140,398 70,199 210,598 105,299 315,898 157,949 473,848 236,924 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757

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