λ
Harmonic Matrix

5,065,966

2 × 17 × 37 × 4027
Deficient Even Composite

5,065,966 has digital root 1. The neighboring primes are 5065961 and 5065979; its proper-divisor sum differs from the starting integer by -1,866,476.

Prime Factor Structure

Factorization String 2 × 17 × 37 × 4027
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,265,456
Proper Divisor Sum 3,199,490
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5065961 ← → #5065979

Radix Representation

Decimal 5065966
Binary 10011010100110011101110 (23 bits)
Octal 0o23246356
Hexadecimal 0x4D4CEE

Divisor Catalog (16)

1 2 17 34 37 74 629 1,258 4,027 8,054 68,459 136,918 148,999 297,998 2,532,983 5,065,966

Collatz Trajectory (157 steps to reach 1)

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

5,065,966 2,532,983 7,598,950 3,799,475 11,398,426 5,699,213 17,097,640 8,548,820 4,274,410 2,137,205 6,411,616 3,205,808 1,602,904 801,452 400,726 200,363 601,090 300,545 901,636 450,818 225,409 676,228 338,114 169,057 507,172 253,586 126,793 380,380 190,190 95,095 285,286 142,643 427,930 213,965 641,896 320,948 160,474 80,237 240,712 120,356 60,178 30,089 90,268 45,134 22,567 67,702 33,851 101,554 50,777 152,332 76,166 38,083 114,250 57,125 171,376 85,688 42,844 21,422 10,711 32,134

More profiles

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