414,582

2 × 3 × 7 × 9871

414,582 factors as 2 × 3 × 7 × 9871. Its 16 positive divisors give a proper-divisor sum of 533,130, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 9871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 947,712

Proper Divisor Sum 533,130

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #414577 ← → #414607

Radix Representation

Decimal	414582
Binary	1100101001101110110 (19 bits)
Octal	0o1451566
Hexadecimal	0x65376

Divisor Catalog (16)

1 2 3 6 7 14 21 42 9,871 19,742 29,613 59,226 69,097 138,194 207,291 414,582

Collatz Trajectory (112 steps to reach 1)

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

414,582 207,291 621,874 310,937 932,812 466,406 233,203 699,610 349,805 1,049,416 524,708 262,354 131,177 393,532 196,766 98,383 295,150 147,575 442,726 221,363 664,090 332,045 996,136 498,068 249,034 124,517 373,552 186,776 93,388 46,694 23,347 70,042 35,021 105,064 52,532 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632

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