λ
Harmonic Matrix

2,918,191

19 × 153589
Deficient Odd Composite

2,918,191 has digital root 4. The neighboring primes are 2918177 and 2918207; its proper-divisor sum differs from the starting integer by -2,764,582.

Prime Factor Structure

Factorization String 19 × 153589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,071,800
Proper Divisor Sum 153,609
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2918177 ← → #2918207

Radix Representation

Decimal 2918191
Binary 1011001000011100101111 (22 bits)
Octal 0o13103457
Hexadecimal 0x2C872F

Divisor Catalog (4)

1 19 153,589 2,918,191

Collatz Trajectory (182 steps to reach 1)

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

2,918,191 8,754,574 4,377,287 13,131,862 6,565,931 19,697,794 9,848,897 29,546,692 14,773,346 7,386,673 22,160,020 11,080,010 5,540,005 16,620,016 8,310,008 4,155,004 2,077,502 1,038,751 3,116,254 1,558,127 4,674,382 2,337,191 7,011,574 3,505,787 10,517,362 5,258,681 15,776,044 7,888,022 3,944,011 11,832,034 5,916,017 17,748,052 8,874,026 4,437,013 13,311,040 6,655,520 3,327,760 1,663,880 831,940 415,970 207,985 623,956 311,978 155,989 467,968 233,984 116,992 58,496 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515

More profiles

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