4,067,007

3 × 7 × 19 × 10193

For 4,067,007, the 16 positive divisors have a total of 6,524,160. Removing 4,067,007 leaves 2,457,153, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 10193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,524,160

Proper Divisor Sum 2,457,153

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4066991 ← → #4067009

Radix Representation

Decimal	4067007
Binary	1111100000111010111111 (22 bits)
Octal	0o17407277
Hexadecimal	0x3E0EBF

Divisor Catalog (16)

1 3 7 19 21 57 133 399 10,193 30,579 71,351 193,667 214,053 581,001 1,355,669 4,067,007

Collatz Trajectory (123 steps to reach 1)

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

4,067,007 12,201,022 6,100,511 18,301,534 9,150,767 27,452,302 13,726,151 41,178,454 20,589,227 61,767,682 30,883,841 92,651,524 46,325,762 23,162,881 69,488,644 34,744,322 17,372,161 52,116,484 26,058,242 13,029,121 39,087,364 19,543,682 9,771,841 29,315,524 14,657,762 7,328,881 21,986,644 10,993,322 5,496,661 16,489,984 8,244,992 4,122,496 2,061,248 1,030,624 515,312 257,656 128,828 64,414 32,207 96,622 48,311 144,934 72,467 217,402 108,701 326,104 163,052 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796

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