7,021,824

2⁸ × 3 × 41 × 223

7,021,824 factors as 2^8 × 3 × 41 × 223. Its 72 positive divisors give a proper-divisor sum of 12,208,128, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 41 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,229,952

Proper Divisor Sum 12,208,128

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7021789 ← → #7021843

Radix Representation

Decimal	7021824
Binary	11010110010010100000000 (23 bits)
Octal	0o32622400
Hexadecimal	0x6B2500

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 223 246 256 328 384 446 492 656 669 768 892 984 1,312 1,338 1,784 1,968 2,624 2,676 3,568 3,936 5,248 5,352 7,136 7,872 9,143 10,496 10,704 14,272 15,744 18,286 21,408 27,429 28,544 31,488 36,572 42,816 54,858 57,088 73,144 85,632 109,716

Collatz Trajectory (67 steps to reach 1)

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

7,021,824 3,510,912 1,755,456 877,728 438,864 219,432 109,716 54,858 27,429 82,288 41,144 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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