λ
Harmonic Matrix

2,133,015

3 × 5 × 43 × 3307
Deficient Odd Composite

2,133,015 has digital root 6. The neighboring primes are 2132993 and 2133023; its proper-divisor sum differs from the starting integer by -772,782.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 3307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,493,248
Proper Divisor Sum 1,360,233
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2132993 ← → #2133023

Radix Representation

Decimal 2133015
Binary 1000001000110000010111 (22 bits)
Octal 0o10106027
Hexadecimal 0x208C17

Divisor Catalog (16)

1 3 5 15 43 129 215 645 3,307 9,921 16,535 49,605 142,201 426,603 711,005 2,133,015

Collatz Trajectory (166 steps to reach 1)

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

2,133,015 6,399,046 3,199,523 9,598,570 4,799,285 14,397,856 7,198,928 3,599,464 1,799,732 899,866 449,933 1,349,800 674,900 337,450 168,725 506,176 253,088 126,544 63,272 31,636 15,818 7,909 23,728 11,864 5,932 2,966 1,483 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

More profiles

← Previous Integer #2,133,014 Browse Full Index Next Integer #2,133,016 →