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Atlas › Integer Profiles › Node 12,346,955

12,346,955

5 × 199 × 12409
Deficient Odd Composite

12,346,955 factors as 5 × 199 × 12409. Its 8 positive divisors give a proper-divisor sum of 2,545,045, so this integer is deficient. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 5 × 199 × 12409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,892,000
Proper Divisor Sum 2,545,045
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #12346931 ← → #12346967

Radix Representation

Decimal 12346955
Binary 101111000110011001001011 (24 bits)
Octal 0o57063113
Hexadecimal 0xBC664B

Divisor Catalog (8)

1 5 199 995 12,409 62,045 2,469,391 12,346,955

Collatz Trajectory (52 steps to reach 1)

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

12,346,955 37,040,866 18,520,433 55,561,300 27,780,650 13,890,325 41,670,976 20,835,488 10,417,744 5,208,872 2,604,436 1,302,218 651,109 1,953,328 976,664 488,332 244,166 122,083 366,250 183,125 549,376 274,688 137,344 68,672 34,336 17,168 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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