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Atlas › Integer Profiles › Node 7,429,345

7,429,345

5 × 7 × 11 × 23 × 839
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 23 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,612,160
Proper Divisor Sum 4,182,815
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7429343 ← → #7429363

Radix Representation

Decimal 7429345
Binary 11100010101110011100001 (23 bits)
Octal 0o34256341
Hexadecimal 0x715CE1

Divisor Catalog (32)

1 5 7 11 23 35 55 77 115 161 253 385 805 839 1,265 1,771 4,195 5,873 8,855 9,229 19,297 29,365 46,145 64,603 96,485 135,079 212,267 323,015 675,395 1,061,335 1,485,869 7,429,345

Collatz Trajectory (235 steps to reach 1)

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

7,429,345 22,288,036 11,144,018 5,572,009 16,716,028 8,358,014 4,179,007 12,537,022 6,268,511 18,805,534 9,402,767 28,208,302 14,104,151 42,312,454 21,156,227 63,468,682 31,734,341 95,203,024 47,601,512 23,800,756 11,900,378 5,950,189 17,850,568 8,925,284 4,462,642 2,231,321 6,693,964 3,346,982 1,673,491 5,020,474 2,510,237 7,530,712 3,765,356 1,882,678 941,339 2,824,018 1,412,009 4,236,028 2,118,014 1,059,007 3,177,022 1,588,511 4,765,534 2,382,767 7,148,302 3,574,151 10,722,454 5,361,227 16,083,682 8,041,841 24,125,524 12,062,762 6,031,381 18,094,144 9,047,072 4,523,536 2,261,768 1,130,884 565,442 282,721

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