6,841,737

3² × 7 × 131 × 829

For 6,841,737, the 24 positive divisors have a total of 11,394,240. Removing 6,841,737 leaves 4,552,503, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 131 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,394,240

Proper Divisor Sum 4,552,503

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6841733 ← → #6841739

Radix Representation

Decimal	6841737
Binary	11010000110010110001001 (23 bits)
Octal	0o32062611
Hexadecimal	0x686589

Divisor Catalog (24)

1 3 7 9 21 63 131 393 829 917 1,179 2,487 2,751 5,803 7,461 8,253 17,409 52,227 108,599 325,797 760,193 977,391 2,280,579 6,841,737

Collatz Trajectory (222 steps to reach 1)

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

6,841,737 20,525,212 10,262,606 5,131,303 15,393,910 7,696,955 23,090,866 11,545,433 34,636,300 17,318,150 8,659,075 25,977,226 12,988,613 38,965,840 19,482,920 9,741,460 4,870,730 2,435,365 7,306,096 3,653,048 1,826,524 913,262 456,631 1,369,894 684,947 2,054,842 1,027,421 3,082,264 1,541,132 770,566 385,283 1,155,850 577,925 1,733,776 866,888 433,444 216,722 108,361 325,084 162,542 81,271 243,814 121,907 365,722 182,861 548,584 274,292 137,146 68,573 205,720 102,860 51,430 25,715 77,146 38,573 115,720 57,860 28,930 14,465 43,396

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