7,588,965

3 × 5 × 23 × 21997

7,588,965 factors as 3 × 5 × 23 × 21997. Its 16 positive divisors give a proper-divisor sum of 5,081,883, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 21997

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,670,848

Proper Divisor Sum 5,081,883

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7588963 ← → #7588979

Radix Representation

Decimal	7588965
Binary	11100111100110001100101 (23 bits)
Octal	0o34746145
Hexadecimal	0x73CC65

Divisor Catalog (16)

1 3 5 15 23 69 115 345 21,997 65,991 109,985 329,955 505,931 1,517,793 2,529,655 7,588,965

Collatz Trajectory (248 steps to reach 1)

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

7,588,965 22,766,896 11,383,448 5,691,724 2,845,862 1,422,931 4,268,794 2,134,397 6,403,192 3,201,596 1,600,798 800,399 2,401,198 1,200,599 3,601,798 1,800,899 5,402,698 2,701,349 8,104,048 4,052,024 2,026,012 1,013,006 506,503 1,519,510 759,755 2,279,266 1,139,633 3,418,900 1,709,450 854,725 2,564,176 1,282,088 641,044 320,522 160,261 480,784 240,392 120,196 60,098 30,049 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023

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