λ
Prime Ledger

4,123,054

2 × 13 × 347 × 457
Deficient Even Composite

4,123,054 has the prime decomposition 2 × 13 × 347 × 457. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 347 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,694,128
Proper Divisor Sum 2,571,074
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4123043 ← → #4123069

Radix Representation

Decimal 4123054
Binary 1111101110100110101110 (22 bits)
Octal 0o17564656
Hexadecimal 0x3EE9AE

Divisor Catalog (16)

1 2 13 26 347 457 694 914 4,511 5,941 9,022 11,882 158,579 317,158 2,061,527 4,123,054

Collatz Trajectory (216 steps to reach 1)

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

4,123,054 2,061,527 6,184,582 3,092,291 9,276,874 4,638,437 13,915,312 6,957,656 3,478,828 1,739,414 869,707 2,609,122 1,304,561 3,913,684 1,956,842 978,421 2,935,264 1,467,632 733,816 366,908 183,454 91,727 275,182 137,591 412,774 206,387 619,162 309,581 928,744 464,372 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400 110,200 55,100 27,550 13,775 41,326 20,663 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153

More profiles

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