λ
Harmonic Matrix

7,600,970

2 × 5 × 13 × 59 × 991
Deficient Even Composite

7,600,970 has digital root 2. The neighboring primes are 7600933 and 7600973; its proper-divisor sum differs from the starting integer by -202,900.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 59 × 991
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,999,040
Proper Divisor Sum 7,398,070
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7600933 ← → #7600973

Radix Representation

Decimal 7600970
Binary 11100111111101101001010 (23 bits)
Octal 0o34775512
Hexadecimal 0x73FB4A

Divisor Catalog (32)

1 2 5 10 13 26 59 65 118 130 295 590 767 991 1,534 1,982 3,835 4,955 7,670 9,910 12,883 25,766 58,469 64,415 116,938 128,830 292,345 584,690 760,097 1,520,194 3,800,485 7,600,970

Collatz Trajectory (85 steps to reach 1)

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

7,600,970 3,800,485 11,401,456 5,700,728 2,850,364 1,425,182 712,591 2,137,774 1,068,887 3,206,662 1,603,331 4,809,994 2,404,997 7,214,992 3,607,496 1,803,748 901,874 450,937 1,352,812 676,406 338,203 1,014,610 507,305 1,521,916 760,958 380,479 1,141,438 570,719 1,712,158 856,079 2,568,238 1,284,119 3,852,358 1,926,179 5,778,538 2,889,269 8,667,808 4,333,904 2,166,952 1,083,476 541,738 270,869 812,608 406,304 203,152 101,576 50,788 25,394 12,697 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036

More profiles

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