λ
Harmonic Matrix

3,993,047

83 × 48109
Deficient Odd Composite

3,993,047 has digital root 8. The neighboring primes are 3993043 and 3993049; its proper-divisor sum differs from the starting integer by -3,944,854.

Prime Factor Structure

Factorization String 83 × 48109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,041,240
Proper Divisor Sum 48,193
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3993043 ← → #3993049

Radix Representation

Decimal 3993047
Binary 1111001110110111010111 (22 bits)
Octal 0o17166727
Hexadecimal 0x3CEDD7

Divisor Catalog (4)

1 83 48,109 3,993,047

Collatz Trajectory (92 steps to reach 1)

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

3,993,047 11,979,142 5,989,571 17,968,714 8,984,357 26,953,072 13,476,536 6,738,268 3,369,134 1,684,567 5,053,702 2,526,851 7,580,554 3,790,277 11,370,832 5,685,416 2,842,708 1,421,354 710,677 2,132,032 1,066,016 533,008 266,504 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118

More profiles

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