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Atlas › Integer Profiles › Node 6,969,280

6,969,280

26 × 5 × 29 × 751
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 29 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,190,720
Proper Divisor Sum 10,221,440
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6969247 ← → #6969293

Radix Representation

Decimal 6969280
Binary 11010100101011111000000 (23 bits)
Octal 0o32453700
Hexadecimal 0x6A57C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 751 928 1,160 1,502 1,856 2,320 3,004 3,755 4,640 6,008 7,510 9,280 12,016 15,020 21,779 24,032 30,040 43,558 48,064 60,080 87,116 108,895 120,160 174,232 217,790 240,320 348,464 435,580 696,928 871,160 1,393,856 1,742,320 3,484,640 6,969,280

Collatz Trajectory (98 steps to reach 1)

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

6,969,280 3,484,640 1,742,320 871,160 435,580 217,790 108,895 326,686 163,343 490,030 245,015 735,046 367,523 1,102,570 551,285 1,653,856 826,928 413,464 206,732 103,366 51,683 155,050 77,525 232,576 116,288 58,144 29,072 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381

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