λ
Harmonic Matrix

3,670,349

3670349
Deficient Odd Prime

3,670,349 has digital root 5. The neighboring primes are 3670333 and 3670393; its proper-divisor sum differs from the starting integer by -3,670,348.

Prime Factor Structure

Factorization String 3670349
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,670,350
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3670333 ← → #3670393

Radix Representation

Decimal 3670349
Binary 1110000000000101001101 (22 bits)
Octal 0o16000515
Hexadecimal 0x38014D

Divisor Catalog (2)

1 3,670,349

Collatz Trajectory (159 steps to reach 1)

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

3,670,349 11,011,048 5,505,524 2,752,762 1,376,381 4,129,144 2,064,572 1,032,286 516,143 1,548,430 774,215 2,322,646 1,161,323 3,483,970 1,741,985 5,225,956 2,612,978 1,306,489 3,919,468 1,959,734 979,867 2,939,602 1,469,801 4,409,404 2,204,702 1,102,351 3,307,054 1,653,527 4,960,582 2,480,291 7,440,874 3,720,437 11,161,312 5,580,656 2,790,328 1,395,164 697,582 348,791 1,046,374 523,187 1,569,562 784,781 2,354,344 1,177,172 588,586 294,293 882,880 441,440 220,720 110,360 55,180 27,590 13,795 41,386 20,693 62,080 31,040 15,520 7,760 3,880

More profiles

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