λ
Harmonic Matrix

1,984,199

7 × 37 × 47 × 163
Deficient Odd Composite

1,984,199 has digital root 5. The neighboring primes are 1984183 and 1984201; its proper-divisor sum differs from the starting integer by -1,575,310.

Prime Factor Structure

Factorization String 7 × 37 × 47 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,393,088
Proper Divisor Sum 408,889
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1984183 ← → #1984201

Radix Representation

Decimal 1984199
Binary 111100100011011000111 (21 bits)
Octal 0o7443307
Hexadecimal 0x1E46C7

Divisor Catalog (16)

1 7 37 47 163 259 329 1,141 1,739 6,031 7,661 12,173 42,217 53,627 283,457 1,984,199

Collatz Trajectory (166 steps to reach 1)

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

1,984,199 5,952,598 2,976,299 8,928,898 4,464,449 13,393,348 6,696,674 3,348,337 10,045,012 5,022,506 2,511,253 7,533,760 3,766,880 1,883,440 941,720 470,860 235,430 117,715 353,146 176,573 529,720 264,860 132,430 66,215 198,646 99,323 297,970 148,985 446,956 223,478 111,739 335,218 167,609 502,828 251,414 125,707 377,122 188,561 565,684 282,842 141,421 424,264 212,132 106,066 53,033 159,100 79,550 39,775 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512

More profiles

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