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Atlas › Integer Profiles › Node 17,527,196

17,527,196

22 × 19 × 23 × 37 × 271
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 37 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,728,960
Proper Divisor Sum 17,201,764
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17527171 ← → #17527199

Radix Representation

Decimal 17527196
Binary 1000010110111000110011100 (25 bits)
Octal 0o102670634
Hexadecimal 0x10B719C

Divisor Catalog (48)

1 2 4 19 23 37 38 46 74 76 92 148 271 437 542 703 851 874 1,084 1,406 1,702 1,748 2,812 3,404 5,149 6,233 10,027 10,298 12,466 16,169 20,054 20,596 24,932 32,338 40,108 64,676 118,427 190,513 230,621 236,854 381,026 461,242 473,708 762,052 922,484 4,381,799 8,763,598 17,527,196

Collatz Trajectory (174 steps to reach 1)

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

17,527,196 8,763,598 4,381,799 13,145,398 6,572,699 19,718,098 9,859,049 29,577,148 14,788,574 7,394,287 22,182,862 11,091,431 33,274,294 16,637,147 49,911,442 24,955,721 74,867,164 37,433,582 18,716,791 56,150,374 28,075,187 84,225,562 42,112,781 126,338,344 63,169,172 31,584,586 15,792,293 47,376,880 23,688,440 11,844,220 5,922,110 2,961,055 8,883,166 4,441,583 13,324,750 6,662,375 19,987,126 9,993,563 29,980,690 14,990,345 44,971,036 22,485,518 11,242,759 33,728,278 16,864,139 50,592,418 25,296,209 75,888,628 37,944,314 18,972,157 56,916,472 28,458,236 14,229,118 7,114,559 21,343,678 10,671,839 32,015,518 16,007,759 48,023,278 24,011,639

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