λ
Harmonic Matrix

3,582,797

127 × 28211
Deficient Odd Composite

3,582,797 has digital root 5. The neighboring primes are 3582793 and 3582809; its proper-divisor sum differs from the starting integer by -3,554,458.

Prime Factor Structure

Factorization String 127 × 28211
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,611,136
Proper Divisor Sum 28,339
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3582793 ← → #3582809

Radix Representation

Decimal 3582797
Binary 1101101010101101001101 (22 bits)
Octal 0o15525515
Hexadecimal 0x36AB4D

Divisor Catalog (4)

1 127 28,211 3,582,797

Collatz Trajectory (97 steps to reach 1)

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

3,582,797 10,748,392 5,374,196 2,687,098 1,343,549 4,030,648 2,015,324 1,007,662 503,831 1,511,494 755,747 2,267,242 1,133,621 3,400,864 1,700,432 850,216 425,108 212,554 106,277 318,832 159,416 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632

More profiles

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