λ
Harmonic Matrix

2,390,979

3 × 19 × 41947
Deficient Odd Composite

2,390,979 has digital root 3. The neighboring primes are 2390957 and 2390987; its proper-divisor sum differs from the starting integer by -1,426,118.

Prime Factor Structure

Factorization String 3 × 19 × 41947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,355,840
Proper Divisor Sum 964,861
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2390957 ← → #2390987

Radix Representation

Decimal 2390979
Binary 1001000111101111000011 (22 bits)
Octal 0o11075703
Hexadecimal 0x247BC3

Divisor Catalog (8)

1 3 19 57 41,947 125,841 796,993 2,390,979

Collatz Trajectory (228 steps to reach 1)

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

2,390,979 7,172,938 3,586,469 10,759,408 5,379,704 2,689,852 1,344,926 672,463 2,017,390 1,008,695 3,026,086 1,513,043 4,539,130 2,269,565 6,808,696 3,404,348 1,702,174 851,087 2,553,262 1,276,631 3,829,894 1,914,947 5,744,842 2,872,421 8,617,264 4,308,632 2,154,316 1,077,158 538,579 1,615,738 807,869 2,423,608 1,211,804 605,902 302,951 908,854 454,427 1,363,282 681,641 2,044,924 1,022,462 511,231 1,533,694 766,847 2,300,542 1,150,271 3,450,814 1,725,407 5,176,222 2,588,111 7,764,334 3,882,167 11,646,502 5,823,251 17,469,754 8,734,877 26,204,632 13,102,316 6,551,158 3,275,579

More profiles

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