λ
Harmonic Matrix

7,079,395

5 × 17 × 37 × 2251
Deficient Odd Composite

7,079,395 has digital root 4. The neighboring primes are 7079363 and 7079417; its proper-divisor sum differs from the starting integer by -4,916,582.

Prime Factor Structure

Factorization String 5 × 17 × 37 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,242,208
Proper Divisor Sum 2,162,813
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7079363 ← → #7079417

Radix Representation

Decimal 7079395
Binary 11011000000010111100011 (23 bits)
Octal 0o33002743
Hexadecimal 0x6C05E3

Divisor Catalog (16)

1 5 17 37 85 185 629 2,251 3,145 11,255 38,267 83,287 191,335 416,435 1,415,879 7,079,395

Collatz Trajectory (98 steps to reach 1)

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

7,079,395 21,238,186 10,619,093 31,857,280 15,928,640 7,964,320 3,982,160 1,991,080 995,540 497,770 248,885 746,656 373,328 186,664 93,332 46,666 23,333 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209

More profiles

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