λ
Prime Ledger

5,715,242

2 × 132 × 37 × 457
Deficient Even Composite

5,715,242 has the prime decomposition 2 × 13^2 × 37 × 457. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 37 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,554,796
Proper Divisor Sum 3,839,554
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5715239 ← → #5715251

Radix Representation

Decimal 5715242
Binary 10101110011010100101010 (23 bits)
Octal 0o25632452
Hexadecimal 0x57352A

Divisor Catalog (24)

1 2 13 26 37 74 169 338 457 481 914 962 5,941 6,253 11,882 12,506 16,909 33,818 77,233 154,466 219,817 439,634 2,857,621 5,715,242

Collatz Trajectory (152 steps to reach 1)

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

5,715,242 2,857,621 8,572,864 4,286,432 2,143,216 1,071,608 535,804 267,902 133,951 401,854 200,927 602,782 301,391 904,174 452,087 1,356,262 678,131 2,034,394 1,017,197 3,051,592 1,525,796 762,898 381,449 1,144,348 572,174 286,087 858,262 429,131 1,287,394 643,697 1,931,092 965,546 482,773 1,448,320 724,160 362,080 181,040 90,520 45,260 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046

More profiles

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