λ
Harmonic Matrix

2,661,308

22 × 13 × 61 × 839
Deficient Even Composite

2,661,308 has digital root 8. The neighboring primes are 2661283 and 2661317; its proper-divisor sum differs from the starting integer by -218,776.

Prime Factor Structure

Factorization String 2^2 × 13 × 61 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,103,840
Proper Divisor Sum 2,442,532
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2661283 ← → #2661317

Radix Representation

Decimal 2661308
Binary 1010001001101110111100 (22 bits)
Octal 0o12115674
Hexadecimal 0x289BBC

Divisor Catalog (24)

1 2 4 13 26 52 61 122 244 793 839 1,586 1,678 3,172 3,356 10,907 21,814 43,628 51,179 102,358 204,716 665,327 1,330,654 2,661,308

Collatz Trajectory (143 steps to reach 1)

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

2,661,308 1,330,654 665,327 1,995,982 997,991 2,993,974 1,496,987 4,490,962 2,245,481 6,736,444 3,368,222 1,684,111 5,052,334 2,526,167 7,578,502 3,789,251 11,367,754 5,683,877 17,051,632 8,525,816 4,262,908 2,131,454 1,065,727 3,197,182 1,598,591 4,795,774 2,397,887 7,193,662 3,596,831 10,790,494 5,395,247 16,185,742 8,092,871 24,278,614 12,139,307 36,417,922 18,208,961 54,626,884 27,313,442 13,656,721 40,970,164 20,485,082 10,242,541 30,727,624 15,363,812 7,681,906 3,840,953 11,522,860 5,761,430 2,880,715 8,642,146 4,321,073 12,963,220 6,481,610 3,240,805 9,722,416 4,861,208 2,430,604 1,215,302 607,651

More profiles

← Previous Integer #2,661,307 Browse Full Index Next Integer #2,661,309 →