λ
Harmonic Matrix

3,993,383

1321 × 3023
Deficient Odd Composite

3,993,383 has digital root 2. The neighboring primes are 3993377 and 3993397; its proper-divisor sum differs from the starting integer by -3,989,038.

Prime Factor Structure

Factorization String 1321 × 3023
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,997,728
Proper Divisor Sum 4,345
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3993377 ← → #3993397

Radix Representation

Decimal 3993383
Binary 1111001110111100100111 (22 bits)
Octal 0o17167447
Hexadecimal 0x3CEF27

Divisor Catalog (4)

1 1,321 3,023 3,993,383

Collatz Trajectory (229 steps to reach 1)

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

3,993,383 11,980,150 5,990,075 17,970,226 8,985,113 26,955,340 13,477,670 6,738,835 20,216,506 10,108,253 30,324,760 15,162,380 7,581,190 3,790,595 11,371,786 5,685,893 17,057,680 8,528,840 4,264,420 2,132,210 1,066,105 3,198,316 1,599,158 799,579 2,398,738 1,199,369 3,598,108 1,799,054 899,527 2,698,582 1,349,291 4,047,874 2,023,937 6,071,812 3,035,906 1,517,953 4,553,860 2,276,930 1,138,465 3,415,396 1,707,698 853,849 2,561,548 1,280,774 640,387 1,921,162 960,581 2,881,744 1,440,872 720,436 360,218 180,109 540,328 270,164 135,082 67,541 202,624 101,312 50,656 25,328

More profiles

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