13,228,024

2³ × 1653503

13,228,024 factors as 2^3 × 1653503. Its 8 positive divisors give a proper-divisor sum of 11,574,536, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 1653503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 24,802,560

Proper Divisor Sum 11,574,536

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #13228021 ← → #13228037

Radix Representation

Decimal	13228024
Binary	110010011101011111111000 (24 bits)
Octal	0o62353770
Hexadecimal	0xC9D7F8

Divisor Catalog (8)

1 2 4 8 1,653,503 3,307,006 6,614,012 13,228,024

Collatz Trajectory (179 steps to reach 1)

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

13,228,024 6,614,012 3,307,006 1,653,503 4,960,510 2,480,255 7,440,766 3,720,383 11,161,150 5,580,575 16,741,726 8,370,863 25,112,590 12,556,295 37,668,886 18,834,443 56,503,330 28,251,665 84,754,996 42,377,498 21,188,749 63,566,248 31,783,124 15,891,562 7,945,781 23,837,344 11,918,672 5,959,336 2,979,668 1,489,834 744,917 2,234,752 1,117,376 558,688 279,344 139,672 69,836 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389

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