λ
Prime Ledger

3,606,615

32 × 5 × 80147
Deficient Odd Composite

3,606,615 has the prime decomposition 3^2 × 5 × 80147. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 80147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,251,544
Proper Divisor Sum 2,644,929
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3606613 ← → #3606661

Radix Representation

Decimal 3606615
Binary 1101110000100001010111 (22 bits)
Octal 0o15604127
Hexadecimal 0x370857

Divisor Catalog (12)

1 3 5 9 15 45 80,147 240,441 400,735 721,323 1,202,205 3,606,615

Collatz Trajectory (234 steps to reach 1)

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

3,606,615 10,819,846 5,409,923 16,229,770 8,114,885 24,344,656 12,172,328 6,086,164 3,043,082 1,521,541 4,564,624 2,282,312 1,141,156 570,578 285,289 855,868 427,934 213,967 641,902 320,951 962,854 481,427 1,444,282 722,141 2,166,424 1,083,212 541,606 270,803 812,410 406,205 1,218,616 609,308 304,654 152,327 456,982 228,491 685,474 342,737 1,028,212 514,106 257,053 771,160 385,580 192,790 96,395 289,186 144,593 433,780 216,890 108,445 325,336 162,668 81,334 40,667 122,002 61,001 183,004 91,502 45,751 137,254

More profiles

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