λ
Harmonic Matrix

2,614,380

22 × 3 × 5 × 43573
Abundant Even Composite

2,614,380 has digital root 6. The neighboring primes are 2614373 and 2614393; its proper-divisor sum differs from the starting integer by 2,091,672.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 43573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,320,432
Proper Divisor Sum 4,706,052
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2614373 ← → #2614393

Radix Representation

Decimal 2614380
Binary 1001111110010001101100 (22 bits)
Octal 0o11762154
Hexadecimal 0x27E46C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 43,573 87,146 130,719 174,292 217,865 261,438 435,730 522,876 653,595 871,460 1,307,190 2,614,380

Collatz Trajectory (262 steps to reach 1)

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

2,614,380 1,307,190 653,595 1,960,786 980,393 2,941,180 1,470,590 735,295 2,205,886 1,102,943 3,308,830 1,654,415 4,963,246 2,481,623 7,444,870 3,722,435 11,167,306 5,583,653 16,750,960 8,375,480 4,187,740 2,093,870 1,046,935 3,140,806 1,570,403 4,711,210 2,355,605 7,066,816 3,533,408 1,766,704 883,352 441,676 220,838 110,419 331,258 165,629 496,888 248,444 124,222 62,111 186,334 93,167 279,502 139,751 419,254 209,627 628,882 314,441 943,324 471,662 235,831 707,494 353,747 1,061,242 530,621 1,591,864 795,932 397,966 198,983 596,950

More profiles

← Previous Integer #2,614,379 Browse Full Index Next Integer #2,614,381 →