λ
Match Zalai

4,746,475

52 × 189859
Deficient Odd Composite

4,746,475 factors as 5^2 × 189859. Its 6 positive divisors give a proper-divisor sum of 1,139,185, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 5^2 × 189859
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,885,660
Proper Divisor Sum 1,139,185
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4746473 ← → #4746493

Radix Representation

Decimal 4746475
Binary 10010000110110011101011 (23 bits)
Octal 0o22066353
Hexadecimal 0x486CEB

Divisor Catalog (6)

1 5 25 189,859 949,295 4,746,475

Collatz Trajectory (268 steps to reach 1)

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

4,746,475 14,239,426 7,119,713 21,359,140 10,679,570 5,339,785 16,019,356 8,009,678 4,004,839 12,014,518 6,007,259 18,021,778 9,010,889 27,032,668 13,516,334 6,758,167 20,274,502 10,137,251 30,411,754 15,205,877 45,617,632 22,808,816 11,404,408 5,702,204 2,851,102 1,425,551 4,276,654 2,138,327 6,414,982 3,207,491 9,622,474 4,811,237 14,433,712 7,216,856 3,608,428 1,804,214 902,107 2,706,322 1,353,161 4,059,484 2,029,742 1,014,871 3,044,614 1,522,307 4,566,922 2,283,461 6,850,384 3,425,192 1,712,596 856,298 428,149 1,284,448 642,224 321,112 160,556 80,278 40,139 120,418 60,209 180,628

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