λ
Harmonic Matrix

3,633,263

3633263
Deficient Odd Prime

3,633,263 has digital root 8. The neighboring primes are 3633233 and 3633269; its proper-divisor sum differs from the starting integer by -3,633,262.

Prime Factor Structure

Factorization String 3633263
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,633,264
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3633233 ← → #3633269

Radix Representation

Decimal 3633263
Binary 1101110111000001101111 (22 bits)
Octal 0o15670157
Hexadecimal 0x37706F

Divisor Catalog (2)

Collatz Trajectory (234 steps to reach 1)

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

3,633,263 10,899,790 5,449,895 16,349,686 8,174,843 24,524,530 12,262,265 36,786,796 18,393,398 9,196,699 27,590,098 13,795,049 41,385,148 20,692,574 10,346,287 31,038,862 15,519,431 46,558,294 23,279,147 69,837,442 34,918,721 104,756,164 52,378,082 26,189,041 78,567,124 39,283,562 19,641,781 58,925,344 29,462,672 14,731,336 7,365,668 3,682,834 1,841,417 5,524,252 2,762,126 1,381,063 4,143,190 2,071,595 6,214,786 3,107,393 9,322,180 4,661,090 2,330,545 6,991,636 3,495,818 1,747,909 5,243,728 2,621,864 1,310,932 655,466 327,733 983,200 491,600 245,800 122,900 61,450 30,725 92,176 46,088 23,044

More profiles

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