λ
Harmonic Matrix

2,723,967

32 × 302663
Deficient Odd Composite

2,723,967 has digital root 9. The neighboring primes are 2723951 and 2723969; its proper-divisor sum differs from the starting integer by -1,513,302.

Prime Factor Structure

Factorization String 3^2 × 302663
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,934,632
Proper Divisor Sum 1,210,665
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2723951 ← → #2723969

Radix Representation

Decimal 2723967
Binary 1010011001000001111111 (22 bits)
Octal 0o12310177
Hexadecimal 0x29907F

Divisor Catalog (6)

1 3 9 302,663 907,989 2,723,967

Collatz Trajectory (112 steps to reach 1)

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

2,723,967 8,171,902 4,085,951 12,257,854 6,128,927 18,386,782 9,193,391 27,580,174 13,790,087 41,370,262 20,685,131 62,055,394 31,027,697 93,083,092 46,541,546 23,270,773 69,812,320 34,906,160 17,453,080 8,726,540 4,363,270 2,181,635 6,544,906 3,272,453 9,817,360 4,908,680 2,454,340 1,227,170 613,585 1,840,756 920,378 460,189 1,380,568 690,284 345,142 172,571 517,714 258,857 776,572 388,286 194,143 582,430 291,215 873,646 436,823 1,310,470 655,235 1,965,706 982,853 2,948,560 1,474,280 737,140 368,570 184,285 552,856 276,428 138,214 69,107 207,322 103,661

More profiles

← Previous Integer #2,723,966 Browse Full Index Next Integer #2,723,968 →