2,509,341

3 × 29 × 28843

For 2,509,341, the 8 positive divisors have a total of 3,461,280. Removing 2,509,341 leaves 951,939, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 29 × 28843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,461,280

Proper Divisor Sum 951,939

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2509337 ← → #2509363

Radix Representation

Decimal	2509341
Binary	1001100100101000011101 (22 bits)
Octal	0o11445035
Hexadecimal	0x264A1D

Divisor Catalog (8)

1 3 29 87 28,843 86,529 836,447 2,509,341

Collatz Trajectory (86 steps to reach 1)

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

2,509,341 7,528,024 3,764,012 1,882,006 941,003 2,823,010 1,411,505 4,234,516 2,117,258 1,058,629 3,175,888 1,587,944 793,972 396,986 198,493 595,480 297,740 148,870 74,435 223,306 111,653 334,960 167,480 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920

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