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Atlas › Integer Profiles › Node 12,759,159

12,759,159

3 × 72 × 29 × 41 × 73
Deficient Odd Composite

12,759,159 factors as 3 × 7^2 × 29 × 41 × 73. Its 48 positive divisors give a proper-divisor sum of 8,499,561, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 29 × 41 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,258,720
Proper Divisor Sum 8,499,561
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #12759143 ← → #12759179

Radix Representation

Decimal 12759159
Binary 110000101011000001110111 (24 bits)
Octal 0o60530167
Hexadecimal 0xC2B077

Divisor Catalog (48)

1 3 7 21 29 41 49 73 87 123 147 203 219 287 511 609 861 1,189 1,421 1,533 2,009 2,117 2,993 3,567 3,577 4,263 6,027 6,351 8,323 8,979 10,731 14,819 20,951 24,969 44,457 58,261 62,853 86,797 103,733 146,657 174,783 260,391 311,199 439,971 607,579 1,822,737 4,253,053 12,759,159

Collatz Trajectory (197 steps to reach 1)

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

12,759,159 38,277,478 19,138,739 57,416,218 28,708,109 86,124,328 43,062,164 21,531,082 10,765,541 32,296,624 16,148,312 8,074,156 4,037,078 2,018,539 6,055,618 3,027,809 9,083,428 4,541,714 2,270,857 6,812,572 3,406,286 1,703,143 5,109,430 2,554,715 7,664,146 3,832,073 11,496,220 5,748,110 2,874,055 8,622,166 4,311,083 12,933,250 6,466,625 19,399,876 9,699,938 4,849,969 14,549,908 7,274,954 3,637,477 10,912,432 5,456,216 2,728,108 1,364,054 682,027 2,046,082 1,023,041 3,069,124 1,534,562 767,281 2,301,844 1,150,922 575,461 1,726,384 863,192 431,596 215,798 107,899 323,698 161,849 485,548

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