λ
Prime Ledger

7,515,465

3 × 5 × 501031
Deficient Odd Composite

7,515,465 has the prime decomposition 3 × 5 × 501031. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 501031
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,024,768
Proper Divisor Sum 4,509,303
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7515461 ← → #7515481

Radix Representation

Decimal 7515465
Binary 11100101010110101001001 (23 bits)
Octal 0o34526511
Hexadecimal 0x72AD49

Divisor Catalog (8)

1 3 5 15 501,031 1,503,093 2,505,155 7,515,465

Collatz Trajectory (134 steps to reach 1)

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

7,515,465 22,546,396 11,273,198 5,636,599 16,909,798 8,454,899 25,364,698 12,682,349 38,047,048 19,023,524 9,511,762 4,755,881 14,267,644 7,133,822 3,566,911 10,700,734 5,350,367 16,051,102 8,025,551 24,076,654 12,038,327 36,114,982 18,057,491 54,172,474 27,086,237 81,258,712 40,629,356 20,314,678 10,157,339 30,472,018 15,236,009 45,708,028 22,854,014 11,427,007 34,281,022 17,140,511 51,421,534 25,710,767 77,132,302 38,566,151 115,698,454 57,849,227 173,547,682 86,773,841 260,321,524 130,160,762 65,080,381 195,241,144 97,620,572 48,810,286 24,405,143 73,215,430 36,607,715 109,823,146 54,911,573 164,734,720 82,367,360 41,183,680 20,591,840 10,295,920

More profiles

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