λ
Harmonic Matrix

7,026,389

17 × 97 × 4261
Deficient Odd Composite

7,026,389 has digital root 8. The neighboring primes are 7026379 and 7026391; its proper-divisor sum differs from the starting integer by -6,534,610.

Prime Factor Structure

Factorization String 17 × 97 × 4261
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,518,168
Proper Divisor Sum 491,779
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7026379 ← → #7026391

Radix Representation

Decimal 7026389
Binary 11010110011011011010101 (23 bits)
Octal 0o32633325
Hexadecimal 0x6B36D5

Divisor Catalog (8)

1 17 97 1,649 4,261 72,437 413,317 7,026,389

Collatz Trajectory (67 steps to reach 1)

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

7,026,389 21,079,168 10,539,584 5,269,792 2,634,896 1,317,448 658,724 329,362 164,681 494,044 247,022 123,511 370,534 185,267 555,802 277,901 833,704 416,852 208,426 104,213 312,640 156,320 78,160 39,080 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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