λ
Harmonic Matrix

4,693,631

4693631
Deficient Odd Prime

4,693,631 has digital root 5. The neighboring primes are 4693609 and 4693643; its proper-divisor sum differs from the starting integer by -4,693,630.

Prime Factor Structure

Factorization String 4693631
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,693,632
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4693609 ← → #4693643

Radix Representation

Decimal 4693631
Binary 10001111001111001111111 (23 bits)
Octal 0o21717177
Hexadecimal 0x479E7F

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

4,693,631 14,080,894 7,040,447 21,121,342 10,560,671 31,682,014 15,841,007 47,523,022 23,761,511 71,284,534 35,642,267 106,926,802 53,463,401 160,390,204 80,195,102 40,097,551 120,292,654 60,146,327 180,438,982 90,219,491 270,658,474 135,329,237 405,987,712 202,993,856 101,496,928 50,748,464 25,374,232 12,687,116 6,343,558 3,171,779 9,515,338 4,757,669 14,273,008 7,136,504 3,568,252 1,784,126 892,063 2,676,190 1,338,095 4,014,286 2,007,143 6,021,430 3,010,715 9,032,146 4,516,073 13,548,220 6,774,110 3,387,055 10,161,166 5,080,583 15,241,750 7,620,875 22,862,626 11,431,313 34,293,940 17,146,970 8,573,485 25,720,456 12,860,228 6,430,114

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