λ
Prime Ledger

5,382,426

2 × 3 × 7 × 128153
Abundant Even Composite

5,382,426 has the prime decomposition 2 × 3 × 7 × 128153. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 128153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,302,784
Proper Divisor Sum 6,920,358
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5382413 ← → #5382449

Radix Representation

Decimal 5382426
Binary 10100100010000100011010 (23 bits)
Octal 0o24420432
Hexadecimal 0x52211A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 128,153 256,306 384,459 768,918 897,071 1,794,142 2,691,213 5,382,426

Collatz Trajectory (95 steps to reach 1)

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

5,382,426 2,691,213 8,073,640 4,036,820 2,018,410 1,009,205 3,027,616 1,513,808 756,904 378,452 189,226 94,613 283,840 141,920 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696

More profiles

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