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Atlas › Integer Profiles › Node 4,134,543

4,134,543

3 × 7 × 47 × 59 × 71
Deficient Odd Composite

4,134,543 factors as 3 × 7 × 47 × 59 × 71. Its 32 positive divisors give a proper-divisor sum of 2,500,977, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 59 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,635,520
Proper Divisor Sum 2,500,977
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4134541 ← → #4134547

Radix Representation

Decimal 4134543
Binary 1111110001011010001111 (22 bits)
Octal 0o17613217
Hexadecimal 0x3F168F

Divisor Catalog (32)

1 3 7 21 47 59 71 141 177 213 329 413 497 987 1,239 1,491 2,773 3,337 4,189 8,319 10,011 12,567 19,411 23,359 29,323 58,233 70,077 87,969 196,883 590,649 1,378,181 4,134,543

Collatz Trajectory (167 steps to reach 1)

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

4,134,543 12,403,630 6,201,815 18,605,446 9,302,723 27,908,170 13,954,085 41,862,256 20,931,128 10,465,564 5,232,782 2,616,391 7,849,174 3,924,587 11,773,762 5,886,881 17,660,644 8,830,322 4,415,161 13,245,484 6,622,742 3,311,371 9,934,114 4,967,057 14,901,172 7,450,586 3,725,293 11,175,880 5,587,940 2,793,970 1,396,985 4,190,956 2,095,478 1,047,739 3,143,218 1,571,609 4,714,828 2,357,414 1,178,707 3,536,122 1,768,061 5,304,184 2,652,092 1,326,046 663,023 1,989,070 994,535 2,983,606 1,491,803 4,475,410 2,237,705 6,713,116 3,356,558 1,678,279 5,034,838 2,517,419 7,552,258 3,776,129 11,328,388 5,664,194

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