λ
Harmonic Matrix

6,107,735

5 × 587 × 2081
Deficient Odd Composite

6,107,735 has digital root 2. The neighboring primes are 6107693 and 6107741; its proper-divisor sum differs from the starting integer by -4,870,174.

Prime Factor Structure

Factorization String 5 × 587 × 2081
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,345,296
Proper Divisor Sum 1,237,561
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6107693 ← → #6107741

Radix Representation

Decimal 6107735
Binary 10111010011001001010111 (23 bits)
Octal 0o27231127
Hexadecimal 0x5D3257

Divisor Catalog (8)

1 5 587 2,081 2,935 10,405 1,221,547 6,107,735

Collatz Trajectory (227 steps to reach 1)

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

6,107,735 18,323,206 9,161,603 27,484,810 13,742,405 41,227,216 20,613,608 10,306,804 5,153,402 2,576,701 7,730,104 3,865,052 1,932,526 966,263 2,898,790 1,449,395 4,348,186 2,174,093 6,522,280 3,261,140 1,630,570 815,285 2,445,856 1,222,928 611,464 305,732 152,866 76,433 229,300 114,650 57,325 171,976 85,988 42,994 21,497 64,492 32,246 16,123 48,370 24,185 72,556 36,278 18,139 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744

More profiles

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