λ
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Atlas › Integer Profiles › Node 7,028,098

7,028,098

2 × 7 × 11 × 47 × 971
Deficient Even Composite

7,028,098 factors as 2 × 7 × 11 × 47 × 971. Its 32 positive divisors give a proper-divisor sum of 6,408,830, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 47 × 971
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,436,928
Proper Divisor Sum 6,408,830
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7028093 ← → #7028101

Radix Representation

Decimal 7028098
Binary 11010110011110110000010 (23 bits)
Octal 0o32636602
Hexadecimal 0x6B3D82

Divisor Catalog (32)

1 2 7 11 14 22 47 77 94 154 329 517 658 971 1,034 1,942 3,619 6,797 7,238 10,681 13,594 21,362 45,637 74,767 91,274 149,534 319,459 502,007 638,918 1,004,014 3,514,049 7,028,098

Collatz Trajectory (191 steps to reach 1)

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

7,028,098 3,514,049 10,542,148 5,271,074 2,635,537 7,906,612 3,953,306 1,976,653 5,929,960 2,964,980 1,482,490 741,245 2,223,736 1,111,868 555,934 277,967 833,902 416,951 1,250,854 625,427 1,876,282 938,141 2,814,424 1,407,212 703,606 351,803 1,055,410 527,705 1,583,116 791,558 395,779 1,187,338 593,669 1,781,008 890,504 445,252 222,626 111,313 333,940 166,970 83,485 250,456 125,228 62,614 31,307 93,922 46,961 140,884 70,442 35,221 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432

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