λ
Harmonic Matrix

7,614,511

7614511
Deficient Odd Prime

7,614,511 has digital root 7. The neighboring primes are 7614493 and 7614527; its proper-divisor sum differs from the starting integer by -7,614,510.

Prime Factor Structure

Factorization String 7614511
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,614,512
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7614493 ← → #7614527

Radix Representation

Decimal 7614511
Binary 11101000011000000101111 (23 bits)
Octal 0o35030057
Hexadecimal 0x74302F

Divisor Catalog (2)

Collatz Trajectory (248 steps to reach 1)

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

7,614,511 22,843,534 11,421,767 34,265,302 17,132,651 51,397,954 25,698,977 77,096,932 38,548,466 19,274,233 57,822,700 28,911,350 14,455,675 43,367,026 21,683,513 65,050,540 32,525,270 16,262,635 48,787,906 24,393,953 73,181,860 36,590,930 18,295,465 54,886,396 27,443,198 13,721,599 41,164,798 20,582,399 61,747,198 30,873,599 92,620,798 46,310,399 138,931,198 69,465,599 208,396,798 104,198,399 312,595,198 156,297,599 468,892,798 234,446,399 703,339,198 351,669,599 1,055,008,798 527,504,399 1,582,513,198 791,256,599 2,373,769,798 1,186,884,899 3,560,654,698 1,780,327,349 5,340,982,048 2,670,491,024 1,335,245,512 667,622,756 333,811,378 166,905,689 500,717,068 250,358,534 125,179,267 375,537,802

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