λ
Prime Ledger

7,542,272

29 × 14731
Deficient Even Composite

7,542,272 has the prime decomposition 2^9 × 14731. Its 2 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 14731
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,070,836
Proper Divisor Sum 7,528,564
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7542253 ← → #7542277

Radix Representation

Decimal 7542272
Binary 11100110001011000000000 (23 bits)
Octal 0o34613000
Hexadecimal 0x731600

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 14,731 29,462 58,924 117,848 235,696 471,392 942,784 1,885,568 3,771,136 7,542,272

Collatz Trajectory (80 steps to reach 1)

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

7,542,272 3,771,136 1,885,568 942,784 471,392 235,696 117,848 58,924 29,462 14,731 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37

More profiles

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