7,724,697

3 × 19 × 53 × 2557

7,724,697 factors as 3 × 19 × 53 × 2557. Its 16 positive divisors give a proper-divisor sum of 3,325,863, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 19 × 53 × 2557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,050,560

Proper Divisor Sum 3,325,863

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7724683 ← → #7724723

Radix Representation

Decimal	7724697
Binary	11101011101111010011001 (23 bits)
Octal	0o35357231
Hexadecimal	0x75DE99

Divisor Catalog (16)

1 3 19 53 57 159 1,007 2,557 3,021 7,671 48,583 135,521 145,749 406,563 2,574,899 7,724,697

Collatz Trajectory (204 steps to reach 1)

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

7,724,697 23,174,092 11,587,046 5,793,523 17,380,570 8,690,285 26,070,856 13,035,428 6,517,714 3,258,857 9,776,572 4,888,286 2,444,143 7,332,430 3,666,215 10,998,646 5,499,323 16,497,970 8,248,985 24,746,956 12,373,478 6,186,739 18,560,218 9,280,109 27,840,328 13,920,164 6,960,082 3,480,041 10,440,124 5,220,062 2,610,031 7,830,094 3,915,047 11,745,142 5,872,571 17,617,714 8,808,857 26,426,572 13,213,286 6,606,643 19,819,930 9,909,965 29,729,896 14,864,948 7,432,474 3,716,237 11,148,712 5,574,356 2,787,178 1,393,589 4,180,768 2,090,384 1,045,192 522,596 261,298 130,649 391,948 195,974 97,987 293,962

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