821,365

5 × 61 × 2693

821,365 has digital root 7. The neighboring primes are 821333 and 821377; its proper-divisor sum differs from the starting integer by -640,562.

Prime Factor Structure

Factorization String 5 × 61 × 2693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,002,168

Proper Divisor Sum 180,803

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #821333 ← → #821377

Radix Representation

Decimal	821365
Binary	11001000100001110101 (20 bits)
Octal	0o3104165
Hexadecimal	0xC8875

Divisor Catalog (8)

1 5 61 305 2,693 13,465 164,273 821,365

Collatz Trajectory (56 steps to reach 1)

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

821,365 2,464,096 1,232,048 616,024 308,012 154,006 77,003 231,010 115,505 346,516 173,258 86,629 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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