4,004,696

2³ × 500587

4,004,696 has digital root 2. The neighboring primes are 4004683 and 4004699; its proper-divisor sum differs from the starting integer by -500,572.

Prime Factor Structure

Factorization String 2^3 × 500587

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,508,820

Proper Divisor Sum 3,504,124

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4004683 ← → #4004699

Radix Representation

Decimal	4004696
Binary	1111010001101101011000 (22 bits)
Octal	0o17215530
Hexadecimal	0x3D1B58

Divisor Catalog (8)

1 2 4 8 500,587 1,001,174 2,002,348 4,004,696

Collatz Trajectory (115 steps to reach 1)

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

4,004,696 2,002,348 1,001,174 500,587 1,501,762 750,881 2,252,644 1,126,322 563,161 1,689,484 844,742 422,371 1,267,114 633,557 1,900,672 950,336 475,168 237,584 118,792 59,396 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414

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