2,967,435

3⁴ × 5 × 17 × 431

For 2,967,435, the 40 positive divisors have a total of 5,645,376. Removing 2,967,435 leaves 2,677,941, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 5 × 17 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 5,645,376

Proper Divisor Sum 2,677,941

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2967427 ← → #2967443

Radix Representation

Decimal	2967435
Binary	1011010100011110001011 (22 bits)
Octal	0o13243613
Hexadecimal	0x2D478B

Divisor Catalog (40)

1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 431 459 765 1,293 1,377 2,155 2,295 3,879 6,465 6,885 7,327 11,637 19,395 21,981 34,911 36,635 58,185 65,943 109,905 174,555 197,829 329,715 593,487 989,145 2,967,435

Collatz Trajectory (120 steps to reach 1)

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

2,967,435 8,902,306 4,451,153 13,353,460 6,676,730 3,338,365 10,015,096 5,007,548 2,503,774 1,251,887 3,755,662 1,877,831 5,633,494 2,816,747 8,450,242 4,225,121 12,675,364 6,337,682 3,168,841 9,506,524 4,753,262 2,376,631 7,129,894 3,564,947 10,694,842 5,347,421 16,042,264 8,021,132 4,010,566 2,005,283 6,015,850 3,007,925 9,023,776 4,511,888 2,255,944 1,127,972 563,986 281,993 845,980 422,990 211,495 634,486 317,243 951,730 475,865 1,427,596 713,798 356,899 1,070,698 535,349 1,606,048 803,024 401,512 200,756 100,378 50,189 150,568 75,284 37,642 18,821

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