λ
Harmonic Matrix

3,591,913

13 × 17 × 16253
Deficient Odd Composite

3,591,913 has digital root 4. The neighboring primes are 3591871 and 3591949; its proper-divisor sum differs from the starting integer by -3,087,818.

Prime Factor Structure

Factorization String 13 × 17 × 16253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,096,008
Proper Divisor Sum 504,095
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3591871 ← → #3591949

Radix Representation

Decimal 3591913
Binary 1101101100111011101001 (22 bits)
Octal 0o15547351
Hexadecimal 0x36CEE9

Divisor Catalog (8)

1 13 17 221 16,253 211,289 276,301 3,591,913

Collatz Trajectory (97 steps to reach 1)

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

3,591,913 10,775,740 5,387,870 2,693,935 8,081,806 4,040,903 12,122,710 6,061,355 18,184,066 9,092,033 27,276,100 13,638,050 6,819,025 20,457,076 10,228,538 5,114,269 15,342,808 7,671,404 3,835,702 1,917,851 5,753,554 2,876,777 8,630,332 4,315,166 2,157,583 6,472,750 3,236,375 9,709,126 4,854,563 14,563,690 7,281,845 21,845,536 10,922,768 5,461,384 2,730,692 1,365,346 682,673 2,048,020 1,024,010 512,005 1,536,016 768,008 384,004 192,002 96,001 288,004 144,002 72,001 216,004 108,002 54,001 162,004 81,002 40,501 121,504 60,752 30,376 15,188 7,594 3,797

More profiles

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