λ
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Atlas › Integer Profiles › Node 12,414,745

12,414,745

5 × 7 × 43 × 73 × 113
Deficient Odd Composite

12,414,745 factors as 5 × 7 × 43 × 73 × 113. Its 32 positive divisors give a proper-divisor sum of 5,402,087, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 5 × 7 × 43 × 73 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,816,832
Proper Divisor Sum 5,402,087
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12414719 ← → #12414751

Radix Representation

Decimal 12414745
Binary 101111010110111100011001 (24 bits)
Octal 0o57267431
Hexadecimal 0xBD6F19

Divisor Catalog (32)

1 5 7 35 43 73 113 215 301 365 511 565 791 1,505 2,555 3,139 3,955 4,859 8,249 15,695 21,973 24,295 34,013 41,245 57,743 109,865 170,065 288,715 354,707 1,773,535 2,482,949 12,414,745

Collatz Trajectory (135 steps to reach 1)

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

12,414,745 37,244,236 18,622,118 9,311,059 27,933,178 13,966,589 41,899,768 20,949,884 10,474,942 5,237,471 15,712,414 7,856,207 23,568,622 11,784,311 35,352,934 17,676,467 53,029,402 26,514,701 79,544,104 39,772,052 19,886,026 9,943,013 29,829,040 14,914,520 7,457,260 3,728,630 1,864,315 5,592,946 2,796,473 8,389,420 4,194,710 2,097,355 6,292,066 3,146,033 9,438,100 4,719,050 2,359,525 7,078,576 3,539,288 1,769,644 884,822 442,411 1,327,234 663,617 1,990,852 995,426 497,713 1,493,140 746,570 373,285 1,119,856 559,928 279,964 139,982 69,991 209,974 104,987 314,962 157,481 472,444

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