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Atlas › Integer Profiles › Node 6,969,744

6,969,744

24 × 32 × 29 × 1669
Abundant Even Composite

6,969,744 factors as 2^4 × 3^2 × 29 × 1669. Its 60 positive divisors give a proper-divisor sum of 13,220,556, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 29 × 1669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 20,190,300
Proper Divisor Sum 13,220,556
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6969733 ← → #6969757

Radix Representation

Decimal 6969744
Binary 11010100101100110010000 (23 bits)
Octal 0o32454620
Hexadecimal 0x6A5990

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1,044 1,392 1,669 2,088 3,338 4,176 5,007 6,676 10,014 13,352 15,021 20,028 26,704 30,042 40,056 48,401 60,084 80,112 96,802 120,168 145,203 193,604 240,336 290,406 387,208 435,609 580,812 774,416 871,218 1,161,624 1,742,436 2,323,248 3,484,872 6,969,744

Collatz Trajectory (85 steps to reach 1)

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

6,969,744 3,484,872 1,742,436 871,218 435,609 1,306,828 653,414 326,707 980,122 490,061 1,470,184 735,092 367,546 183,773 551,320 275,660 137,830 68,915 206,746 103,373 310,120 155,060 77,530 38,765 116,296 58,148 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205

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