λ
Harmonic Matrix

6,101,165

5 × 7 × 29 × 6011
Deficient Odd Composite

6,101,165 has digital root 2. The neighboring primes are 6101149 and 6101167; its proper-divisor sum differs from the starting integer by -3,545,050.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 6011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,657,280
Proper Divisor Sum 2,556,115
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6101149 ← → #6101167

Radix Representation

Decimal 6101165
Binary 10111010001100010101101 (23 bits)
Octal 0o27214255
Hexadecimal 0x5D18AD

Divisor Catalog (16)

1 5 7 29 35 145 203 1,015 6,011 30,055 42,077 174,319 210,385 871,595 1,220,233 6,101,165

Collatz Trajectory (108 steps to reach 1)

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

6,101,165 18,303,496 9,151,748 4,575,874 2,287,937 6,863,812 3,431,906 1,715,953 5,147,860 2,573,930 1,286,965 3,860,896 1,930,448 965,224 482,612 241,306 120,653 361,960 180,980 90,490 45,245 135,736 67,868 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

More profiles

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