λ
Harmonic Matrix

3,610,393

3610393
Deficient Odd Prime

3,610,393 has digital root 7. The neighboring primes are 3610391 and 3610403; its proper-divisor sum differs from the starting integer by -3,610,392.

Prime Factor Structure

Factorization String 3610393
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,610,394
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3610391 ← → #3610403

Radix Representation

Decimal 3610393
Binary 1101110001011100011001 (22 bits)
Octal 0o15613431
Hexadecimal 0x371719

Divisor Catalog (2)

Collatz Trajectory (234 steps to reach 1)

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

3,610,393 10,831,180 5,415,590 2,707,795 8,123,386 4,061,693 12,185,080 6,092,540 3,046,270 1,523,135 4,569,406 2,284,703 6,854,110 3,427,055 10,281,166 5,140,583 15,421,750 7,710,875 23,132,626 11,566,313 34,698,940 17,349,470 8,674,735 26,024,206 13,012,103 39,036,310 19,518,155 58,554,466 29,277,233 87,831,700 43,915,850 21,957,925 65,873,776 32,936,888 16,468,444 8,234,222 4,117,111 12,351,334 6,175,667 18,527,002 9,263,501 27,790,504 13,895,252 6,947,626 3,473,813 10,421,440 5,210,720 2,605,360 1,302,680 651,340 325,670 162,835 488,506 244,253 732,760 366,380 183,190 91,595 274,786 137,393

More profiles

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