λ
Integer Codex

1,580,082

2 × 3 × 7 × 17 × 2213
Abundant Even Composite

For 1,580,082, the 32 positive divisors have a total of 3,825,792. Removing 1,580,082 leaves 2,245,710, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 2213
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,825,792
Proper Divisor Sum 2,245,710
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1580081 ← → #1580087

Radix Representation

Decimal 1580082
Binary 110000001110000110010 (21 bits)
Octal 0o6016062
Hexadecimal 0x181C32

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 2,213 4,426 6,639 13,278 15,491 30,982 37,621 46,473 75,242 92,946 112,863 225,726 263,347 526,694 790,041 1,580,082

Collatz Trajectory (124 steps to reach 1)

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

1,580,082 790,041 2,370,124 1,185,062 592,531 1,777,594 888,797 2,666,392 1,333,196 666,598 333,299 999,898 499,949 1,499,848 749,924 374,962 187,481 562,444 281,222 140,611 421,834 210,917 632,752 316,376 158,188 79,094 39,547 118,642 59,321 177,964 88,982 44,491 133,474 66,737 200,212 100,106 50,053 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142

More profiles

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