2,417,617

19² × 37 × 181

2,417,617 factors as 19^2 × 37 × 181. Its 12 positive divisors give a proper-divisor sum of 217,379, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 19^2 × 37 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,634,996

Proper Divisor Sum 217,379

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2417609 ← → #2417663

Radix Representation

Decimal	2417617
Binary	1001001110001111010001 (22 bits)
Octal	0o11161721
Hexadecimal	0x24E3D1

Divisor Catalog (12)

1 19 37 181 361 703 3,439 6,697 13,357 65,341 127,243 2,417,617

Collatz Trajectory (112 steps to reach 1)

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

2,417,617 7,252,852 3,626,426 1,813,213 5,439,640 2,719,820 1,359,910 679,955 2,039,866 1,019,933 3,059,800 1,529,900 764,950 382,475 1,147,426 573,713 1,721,140 860,570 430,285 1,290,856 645,428 322,714 161,357 484,072 242,036 121,018 60,509 181,528 90,764 45,382 22,691 68,074 34,037 102,112 51,056 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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