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Atlas › Integer Profiles › Node 27,835,706

27,835,706

2 × 31 × 43 × 53 × 197
Deficient Even Composite

27,835,706 factors as 2 × 31 × 43 × 53 × 197. Its 32 positive divisors give a proper-divisor sum of 17,327,302, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 31 × 43 × 53 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,163,008
Proper Divisor Sum 17,327,302
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #27835699 ← → #27835711

Radix Representation

Decimal 27835706
Binary 1101010001011110100111010 (25 bits)
Octal 0o152136472
Hexadecimal 0x1A8BD3A

Divisor Catalog (32)

1 2 31 43 53 62 86 106 197 394 1,333 1,643 2,279 2,666 3,286 4,558 6,107 8,471 10,441 12,214 16,942 20,882 70,649 141,298 262,601 323,671 448,963 525,202 647,342 897,926 13,917,853 27,835,706

Collatz Trajectory (162 steps to reach 1)

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

27,835,706 13,917,853 41,753,560 20,876,780 10,438,390 5,219,195 15,657,586 7,828,793 23,486,380 11,743,190 5,871,595 17,614,786 8,807,393 26,422,180 13,211,090 6,605,545 19,816,636 9,908,318 4,954,159 14,862,478 7,431,239 22,293,718 11,146,859 33,440,578 16,720,289 50,160,868 25,080,434 12,540,217 37,620,652 18,810,326 9,405,163 28,215,490 14,107,745 42,323,236 21,161,618 10,580,809 31,742,428 15,871,214 7,935,607 23,806,822 11,903,411 35,710,234 17,855,117 53,565,352 26,782,676 13,391,338 6,695,669 20,087,008 10,043,504 5,021,752 2,510,876 1,255,438 627,719 1,883,158 941,579 2,824,738 1,412,369 4,237,108 2,118,554 1,059,277

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