λ
Harmonic Matrix

7,491,631

7 × 1070233
Deficient Odd Composite

7,491,631 has digital root 4. The neighboring primes are 7491623 and 7491641; its proper-divisor sum differs from the starting integer by -6,421,390.

Prime Factor Structure

Factorization String 7 × 1070233
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,561,872
Proper Divisor Sum 1,070,241
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7491623 ← → #7491641

Radix Representation

Decimal 7491631
Binary 11100100101000000101111 (23 bits)
Octal 0o34450057
Hexadecimal 0x72502F

Divisor Catalog (4)

1 7 1,070,233 7,491,631

Collatz Trajectory (160 steps to reach 1)

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

7,491,631 22,474,894 11,237,447 33,712,342 16,856,171 50,568,514 25,284,257 75,852,772 37,926,386 18,963,193 56,889,580 28,444,790 14,222,395 42,667,186 21,333,593 64,000,780 32,000,390 16,000,195 48,000,586 24,000,293 72,000,880 36,000,440 18,000,220 9,000,110 4,500,055 13,500,166 6,750,083 20,250,250 10,125,125 30,375,376 15,187,688 7,593,844 3,796,922 1,898,461 5,695,384 2,847,692 1,423,846 711,923 2,135,770 1,067,885 3,203,656 1,601,828 800,914 400,457 1,201,372 600,686 300,343 901,030 450,515 1,351,546 675,773 2,027,320 1,013,660 506,830 253,415 760,246 380,123 1,140,370 570,185 1,710,556

More profiles

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