λ
Harmonic Matrix

3,379,393

3379393
Deficient Odd Prime

3,379,393 has digital root 1. The neighboring primes are 3379391 and 3379417; its proper-divisor sum differs from the starting integer by -3,379,392.

Prime Factor Structure

Factorization String 3379393
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,379,394
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3379391 ← → #3379417

Radix Representation

Decimal 3379393
Binary 1100111001000011000001 (22 bits)
Octal 0o14710301
Hexadecimal 0x3390C1

Divisor Catalog (2)

Collatz Trajectory (164 steps to reach 1)

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

3,379,393 10,138,180 5,069,090 2,534,545 7,603,636 3,801,818 1,900,909 5,702,728 2,851,364 1,425,682 712,841 2,138,524 1,069,262 534,631 1,603,894 801,947 2,405,842 1,202,921 3,608,764 1,804,382 902,191 2,706,574 1,353,287 4,059,862 2,029,931 6,089,794 3,044,897 9,134,692 4,567,346 2,283,673 6,851,020 3,425,510 1,712,755 5,138,266 2,569,133 7,707,400 3,853,700 1,926,850 963,425 2,890,276 1,445,138 722,569 2,167,708 1,083,854 541,927 1,625,782 812,891 2,438,674 1,219,337 3,658,012 1,829,006 914,503 2,743,510 1,371,755 4,115,266 2,057,633 6,172,900 3,086,450 1,543,225 4,629,676

More profiles

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