λ
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Atlas › Integer Profiles › Node 12,031,726

12,031,726

2 × 7 × 67 × 101 × 127
Deficient Even Composite

12,031,726 factors as 2 × 7 × 67 × 101 × 127. Its 32 positive divisors give a proper-divisor sum of 9,275,666, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 101 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,307,392
Proper Divisor Sum 9,275,666
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #12031711 ← → #12031727

Radix Representation

Decimal 12031726
Binary 101101111001011011101110 (24 bits)
Octal 0o55713356
Hexadecimal 0xB796EE

Divisor Catalog (32)

1 2 7 14 67 101 127 134 202 254 469 707 889 938 1,414 1,778 6,767 8,509 12,827 13,534 17,018 25,654 47,369 59,563 89,789 94,738 119,126 179,578 859,409 1,718,818 6,015,863 12,031,726

Collatz Trajectory (259 steps to reach 1)

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

12,031,726 6,015,863 18,047,590 9,023,795 27,071,386 13,535,693 40,607,080 20,303,540 10,151,770 5,075,885 15,227,656 7,613,828 3,806,914 1,903,457 5,710,372 2,855,186 1,427,593 4,282,780 2,141,390 1,070,695 3,212,086 1,606,043 4,818,130 2,409,065 7,227,196 3,613,598 1,806,799 5,420,398 2,710,199 8,130,598 4,065,299 12,195,898 6,097,949 18,293,848 9,146,924 4,573,462 2,286,731 6,860,194 3,430,097 10,290,292 5,145,146 2,572,573 7,717,720 3,858,860 1,929,430 964,715 2,894,146 1,447,073 4,341,220 2,170,610 1,085,305 3,255,916 1,627,958 813,979 2,441,938 1,220,969 3,662,908 1,831,454 915,727 2,747,182

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