7,673,421

3 × 7 × 23 × 15887

For 7,673,421, the 16 positive divisors have a total of 12,201,984. Removing 7,673,421 leaves 4,528,563, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 15887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,201,984

Proper Divisor Sum 4,528,563

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7673401 ← → #7673423

Radix Representation

Decimal	7673421
Binary	11101010001011001001101 (23 bits)
Octal	0o35213115
Hexadecimal	0x75164D

Divisor Catalog (16)

1 3 7 21 23 69 161 483 15,887 47,661 111,209 333,627 365,401 1,096,203 2,557,807 7,673,421

Collatz Trajectory (111 steps to reach 1)

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

7,673,421 23,020,264 11,510,132 5,755,066 2,877,533 8,632,600 4,316,300 2,158,150 1,079,075 3,237,226 1,618,613 4,855,840 2,427,920 1,213,960 606,980 303,490 151,745 455,236 227,618 113,809 341,428 170,714 85,357 256,072 128,036 64,018 32,009 96,028 48,014 24,007 72,022 36,011 108,034 54,017 162,052 81,026 40,513 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354

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