2,617,082

2 × 13 × 17 × 31 × 191

2,617,082 is even and not a perfect square. Its factorization is 2 × 13 × 17 × 31 × 191 and its 32 divisors sum to 4,644,864.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 31 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,644,864

Proper Divisor Sum 2,027,782

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2617081 ← → #2617091

Radix Representation

Decimal	2617082
Binary	1001111110111011111010 (22 bits)
Octal	0o11767372
Hexadecimal	0x27EEFA

Divisor Catalog (32)

1 2 13 17 26 31 34 62 191 221 382 403 442 527 806 1,054 2,483 3,247 4,966 5,921 6,494 6,851 11,842 13,702 42,211 76,973 84,422 100,657 153,946 201,314 1,308,541 2,617,082

Collatz Trajectory (156 steps to reach 1)

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

2,617,082 1,308,541 3,925,624 1,962,812 981,406 490,703 1,472,110 736,055 2,208,166 1,104,083 3,312,250 1,656,125 4,968,376 2,484,188 1,242,094 621,047 1,863,142 931,571 2,794,714 1,397,357 4,192,072 2,096,036 1,048,018 524,009 1,572,028 786,014 393,007 1,179,022 589,511 1,768,534 884,267 2,652,802 1,326,401 3,979,204 1,989,602 994,801 2,984,404 1,492,202 746,101 2,238,304 1,119,152 559,576 279,788 139,894 69,947 209,842 104,921 314,764 157,382 78,691 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066 5,533 16,600

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