λ
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4,873,365

36 × 5 × 7 × 191
Abundant Odd Composite

4,873,365 factors as 3^6 × 5 × 7 × 191. Its 56 positive divisors give a proper-divisor sum of 5,199,723, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 3^6 × 5 × 7 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 10,073,088
Proper Divisor Sum 5,199,723
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4873333 ← → #4873391

Radix Representation

Decimal 4873365
Binary 10010100101110010010101 (23 bits)
Octal 0o22456225
Hexadecimal 0x4A5C95

Divisor Catalog (56)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 191 243 315 405 567 573 729 945 955 1,215 1,337 1,701 1,719 2,835 2,865 3,645 4,011 5,103 5,157 6,685 8,505 8,595 12,033 15,471 20,055 25,515 25,785 36,099 46,413 60,165 77,355 108,297 139,239 180,495 232,065 324,891 541,485 696,195 974,673 1,624,455 4,873,365

Collatz Trajectory (61 steps to reach 1)

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

4,873,365 14,620,096 7,310,048 3,655,024 1,827,512 913,756 456,878 228,439 685,318 342,659 1,027,978 513,989 1,541,968 770,984 385,492 192,746 96,373 289,120 144,560 72,280 36,140 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4

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