λ
Harmonic Matrix

3,100,567

479 × 6473
Deficient Odd Composite

3,100,567 has digital root 4. The neighboring primes are 3100549 and 3100597; its proper-divisor sum differs from the starting integer by -3,093,614.

Prime Factor Structure

Factorization String 479 × 6473
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,107,520
Proper Divisor Sum 6,953
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3100549 ← → #3100597

Radix Representation

Decimal 3100567
Binary 1011110100111110010111 (22 bits)
Octal 0o13647627
Hexadecimal 0x2F4F97

Divisor Catalog (4)

1 479 6,473 3,100,567

Collatz Trajectory (195 steps to reach 1)

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

3,100,567 9,301,702 4,650,851 13,952,554 6,976,277 20,928,832 10,464,416 5,232,208 2,616,104 1,308,052 654,026 327,013 981,040 490,520 245,260 122,630 61,315 183,946 91,973 275,920 137,960 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097

More profiles

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