λ
Harmonic Matrix

2,243,613

3 × 747871
Deficient Odd Composite

2,243,613 has digital root 3. The neighboring primes are 2243597 and 2243617; its proper-divisor sum differs from the starting integer by -1,495,738.

Prime Factor Structure

Factorization String 3 × 747871
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,991,488
Proper Divisor Sum 747,875
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2243597 ← → #2243617

Radix Representation

Decimal 2243613
Binary 1000100011110000011101 (22 bits)
Octal 0o10436035
Hexadecimal 0x223C1D

Divisor Catalog (4)

1 3 747,871 2,243,613

Collatz Trajectory (73 steps to reach 1)

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

2,243,613 6,730,840 3,365,420 1,682,710 841,355 2,524,066 1,262,033 3,786,100 1,893,050 946,525 2,839,576 1,419,788 709,894 354,947 1,064,842 532,421 1,597,264 798,632 399,316 199,658 99,829 299,488 149,744 74,872 37,436 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11

More profiles

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