λ
Harmonic Matrix

5,836,062

2 × 3 × 83 × 11719
Abundant Even Composite

5,836,062 has digital root 3. The neighboring primes are 5836027 and 5836067; its proper-divisor sum differs from the starting integer by 141,636.

Prime Factor Structure

Factorization String 2 × 3 × 83 × 11719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,813,760
Proper Divisor Sum 5,977,698
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5836027 ← → #5836067

Radix Representation

Decimal 5836062
Binary 10110010000110100011110 (23 bits)
Octal 0o26206436
Hexadecimal 0x590D1E

Divisor Catalog (16)

1 2 3 6 83 166 249 498 11,719 23,438 35,157 70,314 972,677 1,945,354 2,918,031 5,836,062

Collatz Trajectory (214 steps to reach 1)

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

5,836,062 2,918,031 8,754,094 4,377,047 13,131,142 6,565,571 19,696,714 9,848,357 29,545,072 14,772,536 7,386,268 3,693,134 1,846,567 5,539,702 2,769,851 8,309,554 4,154,777 12,464,332 6,232,166 3,116,083 9,348,250 4,674,125 14,022,376 7,011,188 3,505,594 1,752,797 5,258,392 2,629,196 1,314,598 657,299 1,971,898 985,949 2,957,848 1,478,924 739,462 369,731 1,109,194 554,597 1,663,792 831,896 415,948 207,974 103,987 311,962 155,981 467,944 233,972 116,986 58,493 175,480 87,740 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100

More profiles

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