λ
Harmonic Matrix

3,416,149

11 × 310559
Deficient Odd Composite

3,416,149 has digital root 1. The neighboring primes are 3416141 and 3416191; its proper-divisor sum differs from the starting integer by -3,105,578.

Prime Factor Structure

Factorization String 11 × 310559
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,726,720
Proper Divisor Sum 310,571
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3416141 ← → #3416191

Radix Representation

Decimal 3416149
Binary 1101000010000001010101 (22 bits)
Octal 0o15020125
Hexadecimal 0x342055

Divisor Catalog (4)

1 11 310,559 3,416,149

Collatz Trajectory (76 steps to reach 1)

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

3,416,149 10,248,448 5,124,224 2,562,112 1,281,056 640,528 320,264 160,132 80,066 40,033 120,100 60,050 30,025 90,076 45,038 22,519 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616

More profiles

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