λ
Prime Ledger

5,355,440

24 × 5 × 66943
Abundant Even Composite

5,355,440 has the prime decomposition 2^4 × 5 × 66943. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 66943
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,451,584
Proper Divisor Sum 7,096,144
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5355439 ← → #5355443

Radix Representation

Decimal 5355440
Binary 10100011011011110110000 (23 bits)
Octal 0o24333660
Hexadecimal 0x51B7B0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 66,943 133,886 267,772 334,715 535,544 669,430 1,071,088 1,338,860 2,677,720 5,355,440

Collatz Trajectory (144 steps to reach 1)

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

5,355,440 2,677,720 1,338,860 669,430 334,715 1,004,146 502,073 1,506,220 753,110 376,555 1,129,666 564,833 1,694,500 847,250 423,625 1,270,876 635,438 317,719 953,158 476,579 1,429,738 714,869 2,144,608 1,072,304 536,152 268,076 134,038 67,019 201,058 100,529 301,588 150,794 75,397 226,192 113,096 56,548 28,274 14,137 42,412 21,206 10,603 31,810 15,905 47,716 23,858 11,929 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663

More profiles

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