λ
Prime Ledger

7,501,534

2 × 3750767
Deficient Even Composite

7,501,534 has the prime decomposition 2 × 3750767. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3750767
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,252,304
Proper Divisor Sum 3,750,770
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7501513 ← → #7501537

Radix Representation

Decimal 7501534
Binary 11100100111011011011110 (23 bits)
Octal 0o34473336
Hexadecimal 0x7276DE

Divisor Catalog (4)

1 2 3,750,767 7,501,534

Collatz Trajectory (204 steps to reach 1)

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

7,501,534 3,750,767 11,252,302 5,626,151 16,878,454 8,439,227 25,317,682 12,658,841 37,976,524 18,988,262 9,494,131 28,482,394 14,241,197 42,723,592 21,361,796 10,680,898 5,340,449 16,021,348 8,010,674 4,005,337 12,016,012 6,008,006 3,004,003 9,012,010 4,506,005 13,518,016 6,759,008 3,379,504 1,689,752 844,876 422,438 211,219 633,658 316,829 950,488 475,244 237,622 118,811 356,434 178,217 534,652 267,326 133,663 400,990 200,495 601,486 300,743 902,230 451,115 1,353,346 676,673 2,030,020 1,015,010 507,505 1,522,516 761,258 380,629 1,141,888 570,944 285,472

More profiles

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