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14,646,892

22 × 132 × 47 × 461
Deficient Even Composite

14,646,892 factors as 2^2 × 13^2 × 47 × 461. Its 36 positive divisors give a proper-divisor sum of 13,760,564, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 47 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 28,407,456
Proper Divisor Sum 13,760,564
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #14646889 ← → #14646899

Radix Representation

Decimal 14646892
Binary 110111110111111001101100 (24 bits)
Octal 0o67677154
Hexadecimal 0xDF7E6C

Divisor Catalog (36)

1 2 4 13 26 47 52 94 169 188 338 461 611 676 922 1,222 1,844 2,444 5,993 7,943 11,986 15,886 21,667 23,972 31,772 43,334 77,909 86,668 155,818 281,671 311,636 563,342 1,126,684 3,661,723 7,323,446 14,646,892

Collatz Trajectory (205 steps to reach 1)

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

14,646,892 7,323,446 3,661,723 10,985,170 5,492,585 16,477,756 8,238,878 4,119,439 12,358,318 6,179,159 18,537,478 9,268,739 27,806,218 13,903,109 41,709,328 20,854,664 10,427,332 5,213,666 2,606,833 7,820,500 3,910,250 1,955,125 5,865,376 2,932,688 1,466,344 733,172 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917 2,972,752 1,486,376 743,188 371,594 185,797 557,392

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