λ
Prime Ledger

6,424,748

22 × 11 × 151 × 967
Deficient Even Composite

6,424,748 has the prime decomposition 2^2 × 11 × 151 × 967. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 151 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,359,424
Proper Divisor Sum 5,934,676
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6424727 ← → #6424753

Radix Representation

Decimal 6424748
Binary 11000100000100010101100 (23 bits)
Octal 0o30404254
Hexadecimal 0x6208AC

Divisor Catalog (24)

1 2 4 11 22 44 151 302 604 967 1,661 1,934 3,322 3,868 6,644 10,637 21,274 42,548 146,017 292,034 584,068 1,606,187 3,212,374 6,424,748

Collatz Trajectory (147 steps to reach 1)

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

6,424,748 3,212,374 1,606,187 4,818,562 2,409,281 7,227,844 3,613,922 1,806,961 5,420,884 2,710,442 1,355,221 4,065,664 2,032,832 1,016,416 508,208 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803

More profiles

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