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Atlas › Integer Profiles › Node 36,947,421

36,947,421

35 × 72 × 29 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7^2 × 29 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 67,223,520
Proper Divisor Sum 30,276,099
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36947411 ← → #36947429

Radix Representation

Decimal 36947421
Binary 10001100111100010111011101 (26 bits)
Octal 0o214742735
Hexadecimal 0x233C5DD

Divisor Catalog (60 of 72)

1 3 7 9 21 27 29 49 63 81 87 107 147 189 203 243 261 321 441 567 609 749 783 963 1,323 1,421 1,701 1,827 2,247 2,349 2,889 3,103 3,969 4,263 5,243 5,481 6,741 7,047 8,667 9,309 11,907 12,789 15,729 16,443 20,223 21,721 26,001 27,927 38,367 47,187 49,329 60,669 65,163 83,781 115,101 141,561 152,047 182,007 195,489 251,343

Collatz Trajectory (188 steps to reach 1)

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

36,947,421 110,842,264 55,421,132 27,710,566 13,855,283 41,565,850 20,782,925 62,348,776 31,174,388 15,587,194 7,793,597 23,380,792 11,690,396 5,845,198 2,922,599 8,767,798 4,383,899 13,151,698 6,575,849 19,727,548 9,863,774 4,931,887 14,795,662 7,397,831 22,193,494 11,096,747 33,290,242 16,645,121 49,935,364 24,967,682 12,483,841 37,451,524 18,725,762 9,362,881 28,088,644 14,044,322 7,022,161 21,066,484 10,533,242 5,266,621 15,799,864 7,899,932 3,949,966 1,974,983 5,924,950 2,962,475 8,887,426 4,443,713 13,331,140 6,665,570 3,332,785 9,998,356 4,999,178 2,499,589 7,498,768 3,749,384 1,874,692 937,346 468,673 1,406,020

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