λ
Prime Ledger

7,491,429

32 × 11 × 31 × 2441
Deficient Odd Composite

7,491,429 has the prime decomposition 3^2 × 11 × 31 × 2441. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 31 × 2441
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,190,464
Proper Divisor Sum 4,699,035
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7491403 ← → #7491439

Radix Representation

Decimal 7491429
Binary 11100100100111101100101 (23 bits)
Octal 0o34447545
Hexadecimal 0x724F65

Divisor Catalog (24)

1 3 9 11 31 33 93 99 279 341 1,023 2,441 3,069 7,323 21,969 26,851 75,671 80,553 227,013 241,659 681,039 832,381 2,497,143 7,491,429

Collatz Trajectory (67 steps to reach 1)

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

7,491,429 22,474,288 11,237,144 5,618,572 2,809,286 1,404,643 4,213,930 2,106,965 6,320,896 3,160,448 1,580,224 790,112 395,056 197,528 98,764 49,382 24,691 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40

More profiles

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