414,448

2⁴ × 25903

414,448 factors as 2^4 × 25903. Its 10 positive divisors give a proper-divisor sum of 388,576, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^4 × 25903

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 803,024

Proper Divisor Sum 388,576

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #414433 ← → #414451

Radix Representation

Decimal	414448
Binary	1100101001011110000 (19 bits)
Octal	0o1451360
Hexadecimal	0x652F0

Divisor Catalog (10)

1 2 4 8 16 25,903 51,806 103,612 207,224 414,448

Collatz Trajectory (112 steps to reach 1)

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

414,448 207,224 103,612 51,806 25,903 77,710 38,855 116,566 58,283 174,850 87,425 262,276 131,138 65,569 196,708 98,354 49,177 147,532 73,766 36,883 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 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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