λ
Harmonic Matrix

1,597,793

1597793
Deficient Odd Prime

1,597,793 has digital root 5. The neighboring primes are 1597781 and 1597801; its proper-divisor sum differs from the starting integer by -1,597,792.

Prime Factor Structure

Factorization String 1597793
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,597,794
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1597781 ← → #1597801

Radix Representation

Decimal 1597793
Binary 110000110000101100001 (21 bits)
Octal 0o6060541
Hexadecimal 0x186161

Divisor Catalog (2)

1 1,597,793

Collatz Trajectory (119 steps to reach 1)

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

1,597,793 4,793,380 2,396,690 1,198,345 3,595,036 1,797,518 898,759 2,696,278 1,348,139 4,044,418 2,022,209 6,066,628 3,033,314 1,516,657 4,549,972 2,274,986 1,137,493 3,412,480 1,706,240 853,120 426,560 213,280 106,640 53,320 26,660 13,330 6,665 19,996 9,998 4,999 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283

More profiles

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