7,828,420

2² × 5 × 509 × 769

7,828,420 has digital root 4. The neighboring primes are 7828411 and 7828421; its proper-divisor sum differs from the starting integer by 836,560.

Prime Factor Structure

Factorization String 2^2 × 5 × 509 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,493,400

Proper Divisor Sum 8,664,980

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7828411 ← → #7828421

Radix Representation

Decimal	7828420
Binary	11101110111001111000100 (23 bits)
Octal	0o35671704
Hexadecimal	0x7773C4

Divisor Catalog (24)

1 2 4 5 10 20 509 769 1,018 1,538 2,036 2,545 3,076 3,845 5,090 7,690 10,180 15,380 391,421 782,842 1,565,684 1,957,105 3,914,210 7,828,420

Collatz Trajectory (93 steps to reach 1)

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

7,828,420 3,914,210 1,957,105 5,871,316 2,935,658 1,467,829 4,403,488 2,201,744 1,100,872 550,436 275,218 137,609 412,828 206,414 103,207 309,622 154,811 464,434 232,217 696,652 348,326 174,163 522,490 261,245 783,736 391,868 195,934 97,967 293,902 146,951 440,854 220,427 661,282 330,641 991,924 495,962 247,981 743,944 371,972 185,986 92,993 278,980 139,490 69,745 209,236 104,618 52,309 156,928 78,464 39,232 19,616 9,808 4,904 2,452 1,226 613 1,840 920 460 230

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