1,582,015

5 × 316403

1,582,015 factors as 5 × 316403. Its 4 positive divisors give a proper-divisor sum of 316,409, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 5 × 316403

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,898,424

Proper Divisor Sum 316,409

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1582001 ← → #1582019

Radix Representation

Decimal	1582015
Binary	110000010001110111111 (21 bits)
Octal	0o6021677
Hexadecimal	0x1823BF

Divisor Catalog (4)

1 5 316,403 1,582,015

Collatz Trajectory (101 steps to reach 1)

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

1,582,015 4,746,046 2,373,023 7,119,070 3,559,535 10,678,606 5,339,303 16,017,910 8,008,955 24,026,866 12,013,433 36,040,300 18,020,150 9,010,075 27,030,226 13,515,113 40,545,340 20,272,670 10,136,335 30,409,006 15,204,503 45,613,510 22,806,755 68,420,266 34,210,133 102,630,400 51,315,200 25,657,600 12,828,800 6,414,400 3,207,200 1,603,600 801,800 400,900 200,450 100,225 300,676 150,338 75,169 225,508 112,754 56,377 169,132 84,566 42,283 126,850 63,425 190,276 95,138 47,569 142,708 71,354 35,677 107,032 53,516 26,758 13,379 40,138 20,069 60,208

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