λ
Harmonic Matrix

7,048,693

17 × 414629
Deficient Odd Composite

7,048,693 has digital root 1. The neighboring primes are 7048673 and 7048697; its proper-divisor sum differs from the starting integer by -6,634,046.

Prime Factor Structure

Factorization String 17 × 414629
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,463,340
Proper Divisor Sum 414,647
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7048673 ← → #7048697

Radix Representation

Decimal 7048693
Binary 11010111000110111110101 (23 bits)
Octal 0o32706765
Hexadecimal 0x6B8DF5

Divisor Catalog (4)

1 17 414,629 7,048,693

Collatz Trajectory (72 steps to reach 1)

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

7,048,693 21,146,080 10,573,040 5,286,520 2,643,260 1,321,630 660,815 1,982,446 991,223 2,973,670 1,486,835 4,460,506 2,230,253 6,690,760 3,345,380 1,672,690 836,345 2,509,036 1,254,518 627,259 1,881,778 940,889 2,822,668 1,411,334 705,667 2,117,002 1,058,501 3,175,504 1,587,752 793,876 396,938 198,469 595,408 297,704 148,852 74,426 37,213 111,640 55,820 27,910 13,955 41,866 20,933 62,800 31,400 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35

More profiles

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