λ
Prime Ledger

4,748,843

11 × 349 × 1237
Deficient Odd Composite

4,748,843 has the prime decomposition 11 × 349 × 1237. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 349 × 1237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,199,600
Proper Divisor Sum 450,757
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4748827 ← → #4748867

Radix Representation

Decimal 4748843
Binary 10010000111011000101011 (23 bits)
Octal 0o22073053
Hexadecimal 0x48762B

Divisor Catalog (8)

1 11 349 1,237 3,839 13,607 431,713 4,748,843

Collatz Trajectory (162 steps to reach 1)

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

4,748,843 14,246,530 7,123,265 21,369,796 10,684,898 5,342,449 16,027,348 8,013,674 4,006,837 12,020,512 6,010,256 3,005,128 1,502,564 751,282 375,641 1,126,924 563,462 281,731 845,194 422,597 1,267,792 633,896 316,948 158,474 79,237 237,712 118,856 59,428 29,714 14,857 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142

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