λ
Harmonic Matrix

2,057,235

3 × 5 × 23 × 67 × 89
Deficient Odd Composite

2,057,235 has digital root 6. The neighboring primes are 2057233 and 2057291; its proper-divisor sum differs from the starting integer by -589,350.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 67 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,525,120
Proper Divisor Sum 1,467,885
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2057233 ← → #2057291

Radix Representation

Decimal 2057235
Binary 111110110010000010011 (21 bits)
Octal 0o7662023
Hexadecimal 0x1F6413

Divisor Catalog (32)

1 3 5 15 23 67 69 89 115 201 267 335 345 445 1,005 1,335 1,541 2,047 4,623 5,963 6,141 7,705 10,235 17,889 23,115 29,815 30,705 89,445 137,149 411,447 685,745 2,057,235

Collatz Trajectory (52 steps to reach 1)

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

2,057,235 6,171,706 3,085,853 9,257,560 4,628,780 2,314,390 1,157,195 3,471,586 1,735,793 5,207,380 2,603,690 1,301,845 3,905,536 1,952,768 976,384 488,192 244,096 122,048 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

← Previous Integer #2,057,234 Browse Full Index Next Integer #2,057,236 →