λ
Harmonic Matrix

5,802,202

2 × 7 × 17 × 24379
Deficient Even Composite

5,802,202 has digital root 1. The neighboring primes are 5802169 and 5802221; its proper-divisor sum differs from the starting integer by -1,072,244.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 24379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,532,160
Proper Divisor Sum 4,729,958
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5802169 ← → #5802221

Radix Representation

Decimal 5802202
Binary 10110001000100011011010 (23 bits)
Octal 0o26104332
Hexadecimal 0x5888DA

Divisor Catalog (16)

1 2 7 14 17 34 119 238 24,379 48,758 170,653 341,306 414,443 828,886 2,901,101 5,802,202

Collatz Trajectory (121 steps to reach 1)

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

5,802,202 2,901,101 8,703,304 4,351,652 2,175,826 1,087,913 3,263,740 1,631,870 815,935 2,447,806 1,223,903 3,671,710 1,835,855 5,507,566 2,753,783 8,261,350 4,130,675 12,392,026 6,196,013 18,588,040 9,294,020 4,647,010 2,323,505 6,970,516 3,485,258 1,742,629 5,227,888 2,613,944 1,306,972 653,486 326,743 980,230 490,115 1,470,346 735,173 2,205,520 1,102,760 551,380 275,690 137,845 413,536 206,768 103,384 51,692 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134

More profiles

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