λ
Harmonic Matrix

4,173,241

4173241
Deficient Odd Prime

4,173,241 has digital root 4. The neighboring primes are 4173223 and 4173269; its proper-divisor sum differs from the starting integer by -4,173,240.

Prime Factor Structure

Factorization String 4173241
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,173,242
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4173223 ← → #4173269

Radix Representation

Decimal 4173241
Binary 1111111010110110111001 (22 bits)
Octal 0o17726671
Hexadecimal 0x3FADB9

Divisor Catalog (2)

1 4,173,241

Collatz Trajectory (105 steps to reach 1)

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

4,173,241 12,519,724 6,259,862 3,129,931 9,389,794 4,694,897 14,084,692 7,042,346 3,521,173 10,563,520 5,281,760 2,640,880 1,320,440 660,220 330,110 165,055 495,166 247,583 742,750 371,375 1,114,126 557,063 1,671,190 835,595 2,506,786 1,253,393 3,760,180 1,880,090 940,045 2,820,136 1,410,068 705,034 352,517 1,057,552 528,776 264,388 132,194 66,097 198,292 99,146 49,573 148,720 74,360 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412

More profiles

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