λ
Prime Ledger

5,872,724

22 × 11 × 13 × 10267
Abundant Even Composite

5,872,724 has the prime decomposition 2^2 × 11 × 13 × 10267. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 10267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,075,168
Proper Divisor Sum 6,202,444
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5872709 ← → #5872739

Radix Representation

Decimal 5872724
Binary 10110011001110001010100 (23 bits)
Octal 0o26316124
Hexadecimal 0x599C54

Divisor Catalog (24)

1 2 4 11 13 22 26 44 52 143 286 572 10,267 20,534 41,068 112,937 133,471 225,874 266,942 451,748 533,884 1,468,181 2,936,362 5,872,724

Collatz Trajectory (38 steps to reach 1)

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

5,872,724 2,936,362 1,468,181 4,404,544 2,202,272 1,101,136 550,568 275,284 137,642 68,821 206,464 103,232 51,616 25,808 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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