8,421,204

2² × 3 × 11 × 131 × 487

8,421,204 has digital root 3. The neighboring primes are 8421191 and 8421209; its proper-divisor sum differs from the starting integer by 4,801,368.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 131 × 487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,643,776

Proper Divisor Sum 13,222,572

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8421191 ← → #8421209

Radix Representation

Decimal	8421204
Binary	100000000111111101010100 (24 bits)
Octal	0o40077524
Hexadecimal	0x807F54

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 487 524 786 974 1,441 1,461 1,572 1,948 2,882 2,922 4,323 5,357 5,764 5,844 8,646 10,714 16,071 17,292 21,428 32,142 63,797 64,284 127,594 191,391 255,188 382,782 701,767 765,564 1,403,534 2,105,301 2,807,068 4,210,602 8,421,204

Collatz Trajectory (168 steps to reach 1)

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

8,421,204 4,210,602 2,105,301 6,315,904 3,157,952 1,578,976 789,488 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088 421,544 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

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