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Atlas › Integer Profiles › Node 6,951,472

6,951,472

24 × 11 × 127 × 311
Abundant Even Composite

6,951,472 factors as 2^4 × 11 × 127 × 311. Its 40 positive divisors give a proper-divisor sum of 7,904,720, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 127 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,856,192
Proper Divisor Sum 7,904,720
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6951467 ← → #6951479

Radix Representation

Decimal 6951472
Binary 11010100001001000110000 (23 bits)
Octal 0o32411060
Hexadecimal 0x6A1230

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 127 176 254 311 508 622 1,016 1,244 1,397 2,032 2,488 2,794 3,421 4,976 5,588 6,842 11,176 13,684 22,352 27,368 39,497 54,736 78,994 157,988 315,976 434,467 631,952 868,934 1,737,868 3,475,736 6,951,472

Collatz Trajectory (191 steps to reach 1)

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

6,951,472 3,475,736 1,737,868 868,934 434,467 1,303,402 651,701 1,955,104 977,552 488,776 244,388 122,194 61,097 183,292 91,646 45,823 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917 2,972,752 1,486,376 743,188 371,594 185,797 557,392 278,696 139,348 69,674 34,837 104,512 52,256 26,128 13,064 6,532 3,266 1,633 4,900 2,450 1,225

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