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Atlas › Integer Profiles › Node 12,465,805

12,465,805

5 × 11 × 19 × 79 × 151
Deficient Odd Composite

12,465,805 factors as 5 × 11 × 19 × 79 × 151. Its 32 positive divisors give a proper-divisor sum of 5,044,595, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 5 × 11 × 19 × 79 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,510,400
Proper Divisor Sum 5,044,595
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12465797 ← → #12465809

Radix Representation

Decimal 12465805
Binary 101111100011011010001101 (24 bits)
Octal 0o57433215
Hexadecimal 0xBE368D

Divisor Catalog (32)

1 5 11 19 55 79 95 151 209 395 755 869 1,045 1,501 1,661 2,869 4,345 7,505 8,305 11,929 14,345 16,511 31,559 59,645 82,555 131,219 157,795 226,651 656,095 1,133,255 2,493,161 12,465,805

Collatz Trajectory (228 steps to reach 1)

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

12,465,805 37,397,416 18,698,708 9,349,354 4,674,677 14,024,032 7,012,016 3,506,008 1,753,004 876,502 438,251 1,314,754 657,377 1,972,132 986,066 493,033 1,479,100 739,550 369,775 1,109,326 554,663 1,663,990 831,995 2,495,986 1,247,993 3,743,980 1,871,990 935,995 2,807,986 1,403,993 4,211,980 2,105,990 1,052,995 3,158,986 1,579,493 4,738,480 2,369,240 1,184,620 592,310 296,155 888,466 444,233 1,332,700 666,350 333,175 999,526 499,763 1,499,290 749,645 2,248,936 1,124,468 562,234 281,117 843,352 421,676 210,838 105,419 316,258 158,129 474,388

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