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Atlas › Integer Profiles › Node 37,201,220

37,201,220

22 × 5 × 7 × 467 × 569
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 467 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 89,631,360
Proper Divisor Sum 52,430,140
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #37201217 ← → #37201223

Radix Representation

Decimal 37201220
Binary 10001101111010010101000100 (26 bits)
Octal 0o215722504
Hexadecimal 0x237A544

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 467 569 934 1,138 1,868 2,276 2,335 2,845 3,269 3,983 4,670 5,690 6,538 7,966 9,340 11,380 13,076 15,932 16,345 19,915 32,690 39,830 65,380 79,660 265,723 531,446 1,062,892 1,328,615 1,860,061 2,657,230 3,720,122 5,314,460 7,440,244 9,300,305 18,600,610 37,201,220

Collatz Trajectory (227 steps to reach 1)

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

37,201,220 18,600,610 9,300,305 27,900,916 13,950,458 6,975,229 20,925,688 10,462,844 5,231,422 2,615,711 7,847,134 3,923,567 11,770,702 5,885,351 17,656,054 8,828,027 26,484,082 13,242,041 39,726,124 19,863,062 9,931,531 29,794,594 14,897,297 44,691,892 22,345,946 11,172,973 33,518,920 16,759,460 8,379,730 4,189,865 12,569,596 6,284,798 3,142,399 9,427,198 4,713,599 14,140,798 7,070,399 21,211,198 10,605,599 31,816,798 15,908,399 47,725,198 23,862,599 71,587,798 35,793,899 107,381,698 53,690,849 161,072,548 80,536,274 40,268,137 120,804,412 60,402,206 30,201,103 90,603,310 45,301,655 135,904,966 67,952,483 203,857,450 101,928,725 305,786,176

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