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Atlas › Integer Profiles › Node 36,975,743

36,975,743

73 × 23 × 43 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^3 × 23 × 43 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,464,000
Proper Divisor Sum 9,488,257
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36975733 ← → #36975749

Radix Representation

Decimal 36975743
Binary 10001101000011010001111111 (26 bits)
Octal 0o215032177
Hexadecimal 0x234347F

Divisor Catalog (32)

1 7 23 43 49 109 161 301 343 763 989 1,127 2,107 2,507 4,687 5,341 6,923 7,889 14,749 17,549 32,809 37,387 48,461 107,801 122,843 229,663 339,227 754,607 859,901 1,607,641 5,282,249 36,975,743

Collatz Trajectory (227 steps to reach 1)

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

36,975,743 110,927,230 55,463,615 166,390,846 83,195,423 249,586,270 124,793,135 374,379,406 187,189,703 561,569,110 280,784,555 842,353,666 421,176,833 1,263,530,500 631,765,250 315,882,625 947,647,876 473,823,938 236,911,969 710,735,908 355,367,954 177,683,977 533,051,932 266,525,966 133,262,983 399,788,950 199,894,475 599,683,426 299,841,713 899,525,140 449,762,570 224,881,285 674,643,856 337,321,928 168,660,964 84,330,482 42,165,241 126,495,724 63,247,862 31,623,931 94,871,794 47,435,897 142,307,692 71,153,846 35,576,923 106,730,770 53,365,385 160,096,156 80,048,078 40,024,039 120,072,118 60,036,059 180,108,178 90,054,089 270,162,268 135,081,134 67,540,567 202,621,702 101,310,851 303,932,554

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