λ
Prime Ledger

7,612,518

2 × 3 × 1268753
Abundant Even Composite

7,612,518 has the prime decomposition 2 × 3 × 1268753. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1268753
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,225,048
Proper Divisor Sum 7,612,530
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7612489 ← → #7612531

Radix Representation

Decimal 7612518
Binary 11101000010100001100110 (23 bits)
Octal 0o35024146
Hexadecimal 0x742866

Divisor Catalog (8)

1 2 3 6 1,268,753 2,537,506 3,806,259 7,612,518

Collatz Trajectory (279 steps to reach 1)

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

7,612,518 3,806,259 11,418,778 5,709,389 17,128,168 8,564,084 4,282,042 2,141,021 6,423,064 3,211,532 1,605,766 802,883 2,408,650 1,204,325 3,612,976 1,806,488 903,244 451,622 225,811 677,434 338,717 1,016,152 508,076 254,038 127,019 381,058 190,529 571,588 285,794 142,897 428,692 214,346 107,173 321,520 160,760 80,380 40,190 20,095 60,286 30,143 90,430 45,215 135,646 67,823 203,470 101,735 305,206 152,603 457,810 228,905 686,716 343,358 171,679 515,038 257,519 772,558 386,279 1,158,838 579,419 1,738,258

More profiles

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