λ
Harmonic Matrix

4,451,813

4451813
Deficient Odd Prime

4,451,813 has digital root 8. The neighboring primes are 4451791 and 4451827; its proper-divisor sum differs from the starting integer by -4,451,812.

Prime Factor Structure

Factorization String 4451813
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,451,814
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4451791 ← → #4451827

Radix Representation

Decimal 4451813
Binary 10000111110110111100101 (23 bits)
Octal 0o20766745
Hexadecimal 0x43EDE5

Divisor Catalog (2)

Collatz Trajectory (118 steps to reach 1)

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

4,451,813 13,355,440 6,677,720 3,338,860 1,669,430 834,715 2,504,146 1,252,073 3,756,220 1,878,110 939,055 2,817,166 1,408,583 4,225,750 2,112,875 6,338,626 3,169,313 9,507,940 4,753,970 2,376,985 7,130,956 3,565,478 1,782,739 5,348,218 2,674,109 8,022,328 4,011,164 2,005,582 1,002,791 3,008,374 1,504,187 4,512,562 2,256,281 6,768,844 3,384,422 1,692,211 5,076,634 2,538,317 7,614,952 3,807,476 1,903,738 951,869 2,855,608 1,427,804 713,902 356,951 1,070,854 535,427 1,606,282 803,141 2,409,424 1,204,712 602,356 301,178 150,589 451,768 225,884 112,942 56,471 169,414

More profiles

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