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Atlas › Integer Profiles › Node 7,434,236

7,434,236

22 × 172 × 59 × 109
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17^2 × 59 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,183,400
Proper Divisor Sum 6,749,164
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7434223 ← → #7434241

Radix Representation

Decimal 7434236
Binary 11100010110111111111100 (23 bits)
Octal 0o34267774
Hexadecimal 0x716FFC

Divisor Catalog (36)

1 2 4 17 34 59 68 109 118 218 236 289 436 578 1,003 1,156 1,853 2,006 3,706 4,012 6,431 7,412 12,862 17,051 25,724 31,501 34,102 63,002 68,204 109,327 126,004 218,654 437,308 1,858,559 3,717,118 7,434,236

Collatz Trajectory (186 steps to reach 1)

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

7,434,236 3,717,118 1,858,559 5,575,678 2,787,839 8,363,518 4,181,759 12,545,278 6,272,639 18,817,918 9,408,959 28,226,878 14,113,439 42,340,318 21,170,159 63,510,478 31,755,239 95,265,718 47,632,859 142,898,578 71,449,289 214,347,868 107,173,934 53,586,967 160,760,902 80,380,451 241,141,354 120,570,677 361,712,032 180,856,016 90,428,008 45,214,004 22,607,002 11,303,501 33,910,504 16,955,252 8,477,626 4,238,813 12,716,440 6,358,220 3,179,110 1,589,555 4,768,666 2,384,333 7,153,000 3,576,500 1,788,250 894,125 2,682,376 1,341,188 670,594 335,297 1,005,892 502,946 251,473 754,420 377,210 188,605 565,816 282,908

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