λ
Harmonic Matrix

4,726,217

29 × 162973
Deficient Odd Composite

4,726,217 has digital root 2. The neighboring primes are 4726213 and 4726237; its proper-divisor sum differs from the starting integer by -4,563,214.

Prime Factor Structure

Factorization String 29 × 162973
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,889,220
Proper Divisor Sum 163,003
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4726213 ← → #4726237

Radix Representation

Decimal 4726217
Binary 10010000001110111001001 (23 bits)
Octal 0o22016711
Hexadecimal 0x481DC9

Divisor Catalog (4)

1 29 162,973 4,726,217

Collatz Trajectory (123 steps to reach 1)

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

4,726,217 14,178,652 7,089,326 3,544,663 10,633,990 5,316,995 15,950,986 7,975,493 23,926,480 11,963,240 5,981,620 2,990,810 1,495,405 4,486,216 2,243,108 1,121,554 560,777 1,682,332 841,166 420,583 1,261,750 630,875 1,892,626 946,313 2,838,940 1,419,470 709,735 2,129,206 1,064,603 3,193,810 1,596,905 4,790,716 2,395,358 1,197,679 3,593,038 1,796,519 5,389,558 2,694,779 8,084,338 4,042,169 12,126,508 6,063,254 3,031,627 9,094,882 4,547,441 13,642,324 6,821,162 3,410,581 10,231,744 5,115,872 2,557,936 1,278,968 639,484 319,742 159,871 479,614 239,807 719,422 359,711 1,079,134

More profiles

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