7,720,004

2² × 19 × 157 × 647

7,720,004 factors as 2^2 × 19 × 157 × 647. Its 24 positive divisors give a proper-divisor sum of 6,613,756, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 157 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,333,760

Proper Divisor Sum 6,613,756

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7720001 ← → #7720021

Radix Representation

Decimal	7720004
Binary	11101011100110001000100 (23 bits)
Octal	0o35346104
Hexadecimal	0x75CC44

Divisor Catalog (24)

Collatz Trajectory (98 steps to reach 1)

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

7,720,004 3,860,002 1,930,001 5,790,004 2,895,002 1,447,501 4,342,504 2,171,252 1,085,626 542,813 1,628,440 814,220 407,110 203,555 610,666 305,333 916,000 458,000 229,000 114,500 57,250 28,625 85,876 42,938 21,469 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

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