λ
Prime Ledger

1,500,197

67 × 22391
Deficient Odd Composite

1,500,197 has the prime decomposition 67 × 22391. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 67 × 22391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,522,656
Proper Divisor Sum 22,459
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1500181 ← → #1500229

Radix Representation

Decimal 1500197
Binary 101101110010000100101 (21 bits)
Octal 0o5562045
Hexadecimal 0x16E425

Divisor Catalog (4)

1 67 22,391 1,500,197

Collatz Trajectory (119 steps to reach 1)

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

1,500,197 4,500,592 2,250,296 1,125,148 562,574 281,287 843,862 421,931 1,265,794 632,897 1,898,692 949,346 474,673 1,424,020 712,010 356,005 1,068,016 534,008 267,004 133,502 66,751 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095

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