6,762,141

3² × 17 × 193 × 229

For 6,762,141, the 24 positive divisors have a total of 10,441,080. Removing 6,762,141 leaves 3,678,939, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 17 × 193 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,441,080

Proper Divisor Sum 3,678,939

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6762139 ← → #6762143

Radix Representation

Decimal	6762141
Binary	11001110010111010011101 (23 bits)
Octal	0o31627235
Hexadecimal	0x672E9D

Divisor Catalog (24)

1 3 9 17 51 153 193 229 579 687 1,737 2,061 3,281 3,893 9,843 11,679 29,529 35,037 44,197 132,591 397,773 751,349 2,254,047 6,762,141

Collatz Trajectory (209 steps to reach 1)

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

6,762,141 20,286,424 10,143,212 5,071,606 2,535,803 7,607,410 3,803,705 11,411,116 5,705,558 2,852,779 8,558,338 4,279,169 12,837,508 6,418,754 3,209,377 9,628,132 4,814,066 2,407,033 7,221,100 3,610,550 1,805,275 5,415,826 2,707,913 8,123,740 4,061,870 2,030,935 6,092,806 3,046,403 9,139,210 4,569,605 13,708,816 6,854,408 3,427,204 1,713,602 856,801 2,570,404 1,285,202 642,601 1,927,804 963,902 481,951 1,445,854 722,927 2,168,782 1,084,391 3,253,174 1,626,587 4,879,762 2,439,881 7,319,644 3,659,822 1,829,911 5,489,734 2,744,867 8,234,602 4,117,301 12,351,904 6,175,952 3,087,976 1,543,988

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