λ
Prime Ledger

8,124,255

32 × 5 × 180539
Deficient Odd Composite

8,124,255 has the prime decomposition 3^2 × 5 × 180539. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 180539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,082,120
Proper Divisor Sum 5,957,865
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8124251 ← → #8124257

Radix Representation

Decimal 8124255
Binary 11110111111011101011111 (23 bits)
Octal 0o36773537
Hexadecimal 0x7BF75F

Divisor Catalog (12)

1 3 5 9 15 45 180,539 541,617 902,695 1,624,851 2,708,085 8,124,255

Collatz Trajectory (186 steps to reach 1)

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

8,124,255 24,372,766 12,186,383 36,559,150 18,279,575 54,838,726 27,419,363 82,258,090 41,129,045 123,387,136 61,693,568 30,846,784 15,423,392 7,711,696 3,855,848 1,927,924 963,962 481,981 1,445,944 722,972 361,486 180,743 542,230 271,115 813,346 406,673 1,220,020 610,010 305,005 915,016 457,508 228,754 114,377 343,132 171,566 85,783 257,350 128,675 386,026 193,013 579,040 289,520 144,760 72,380 36,190 18,095 54,286 27,143 81,430 40,715 122,146 61,073 183,220 91,610 45,805 137,416 68,708 34,354 17,177 51,532

More profiles

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