λ
Harmonic Matrix

2,648,375

53 × 21187
Deficient Odd Composite

2,648,375 has digital root 8. The neighboring primes are 2648369 and 2648377; its proper-divisor sum differs from the starting integer by -1,991,422.

Prime Factor Structure

Factorization String 5^3 × 21187
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,305,328
Proper Divisor Sum 656,953
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2648369 ← → #2648377

Radix Representation

Decimal 2648375
Binary 1010000110100100110111 (22 bits)
Octal 0o12064467
Hexadecimal 0x286937

Divisor Catalog (8)

1 5 25 125 21,187 105,935 529,675 2,648,375

Collatz Trajectory (125 steps to reach 1)

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

2,648,375 7,945,126 3,972,563 11,917,690 5,958,845 17,876,536 8,938,268 4,469,134 2,234,567 6,703,702 3,351,851 10,055,554 5,027,777 15,083,332 7,541,666 3,770,833 11,312,500 5,656,250 2,828,125 8,484,376 4,242,188 2,121,094 1,060,547 3,181,642 1,590,821 4,772,464 2,386,232 1,193,116 596,558 298,279 894,838 447,419 1,342,258 671,129 2,013,388 1,006,694 503,347 1,510,042 755,021 2,265,064 1,132,532 566,266 283,133 849,400 424,700 212,350 106,175 318,526 159,263 477,790 238,895 716,686 358,343 1,075,030 537,515 1,612,546 806,273 2,418,820 1,209,410 604,705

More profiles

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