λ
Harmonic Matrix

3,491,671

101 × 181 × 191
Deficient Odd Composite

3,491,671 has digital root 4. The neighboring primes are 3491669 and 3491689; its proper-divisor sum differs from the starting integer by -3,419,054.

Prime Factor Structure

Factorization String 101 × 181 × 191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,564,288
Proper Divisor Sum 72,617
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3491669 ← → #3491689

Radix Representation

Decimal 3491671
Binary 1101010100011101010111 (22 bits)
Octal 0o15243527
Hexadecimal 0x354757

Divisor Catalog (8)

1 101 181 191 18,281 19,291 34,571 3,491,671

Collatz Trajectory (128 steps to reach 1)

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

3,491,671 10,475,014 5,237,507 15,712,522 7,856,261 23,568,784 11,784,392 5,892,196 2,946,098 1,473,049 4,419,148 2,209,574 1,104,787 3,314,362 1,657,181 4,971,544 2,485,772 1,242,886 621,443 1,864,330 932,165 2,796,496 1,398,248 699,124 349,562 174,781 524,344 262,172 131,086 65,543 196,630 98,315 294,946 147,473 442,420 221,210 110,605 331,816 165,908 82,954 41,477 124,432 62,216 31,108 15,554 7,777 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692

More profiles

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