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Atlas › Integer Profiles › Node 36,960,222

36,960,222

2 × 3 × 13 × 613 × 773
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 613 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,839,648
Proper Divisor Sum 42,879,426
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36960221 ← → #36960233

Radix Representation

Decimal 36960222
Binary 10001100111111011111011110 (26 bits)
Octal 0o214773736
Hexadecimal 0x233F7DE

Divisor Catalog (32)

1 2 3 6 13 26 39 78 613 773 1,226 1,546 1,839 2,319 3,678 4,638 7,969 10,049 15,938 20,098 23,907 30,147 47,814 60,294 473,849 947,698 1,421,547 2,843,094 6,160,037 12,320,074 18,480,111 36,960,222

Collatz Trajectory (134 steps to reach 1)

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

36,960,222 18,480,111 55,440,334 27,720,167 83,160,502 41,580,251 124,740,754 62,370,377 187,111,132 93,555,566 46,777,783 140,333,350 70,166,675 210,500,026 105,250,013 315,750,040 157,875,020 78,937,510 39,468,755 118,406,266 59,203,133 177,609,400 88,804,700 44,402,350 22,201,175 66,603,526 33,301,763 99,905,290 49,952,645 149,857,936 74,928,968 37,464,484 18,732,242 9,366,121 28,098,364 14,049,182 7,024,591 21,073,774 10,536,887 31,610,662 15,805,331 47,415,994 23,707,997 71,123,992 35,561,996 17,780,998 8,890,499 26,671,498 13,335,749 40,007,248 20,003,624 10,001,812 5,000,906 2,500,453 7,501,360 3,750,680 1,875,340 937,670 468,835 1,406,506

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