λ
Harmonic Matrix

2,648,227

2648227
Deficient Odd Prime

2,648,227 has digital root 4. The neighboring primes are 2648213 and 2648249; its proper-divisor sum differs from the starting integer by -2,648,226.

Prime Factor Structure

Factorization String 2648227
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,648,228
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2648213 ← → #2648249

Radix Representation

Decimal 2648227
Binary 1010000110100010100011 (22 bits)
Octal 0o12064243
Hexadecimal 0x2868A3

Divisor Catalog (2)

Collatz Trajectory (94 steps to reach 1)

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

2,648,227 7,944,682 3,972,341 11,917,024 5,958,512 2,979,256 1,489,628 744,814 372,407 1,117,222 558,611 1,675,834 837,917 2,513,752 1,256,876 628,438 314,219 942,658 471,329 1,413,988 706,994 353,497 1,060,492 530,246 265,123 795,370 397,685 1,193,056 596,528 298,264 149,132 74,566 37,283 111,850 55,925 167,776 83,888 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801

More profiles

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