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Atlas › Integer Profiles › Node 35,339,490

35,339,490

2 × 35 × 5 × 14543
Abundant Even Composite

35,339,490 factors as 2 × 3^5 × 5 × 14543. Its 48 positive divisors give a proper-divisor sum of 59,952,798, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 14543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,292,288
Proper Divisor Sum 59,952,798
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #35339471 ← → #35339503

Radix Representation

Decimal 35339490
Binary 10000110110011110011100010 (26 bits)
Octal 0o206636342
Hexadecimal 0x21B3CE2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1,215 2,430 14,543 29,086 43,629 72,715 87,258 130,887 145,430 218,145 261,774 392,661 436,290 654,435 785,322 1,177,983 1,308,870 1,963,305 2,355,966 3,533,949 3,926,610 5,889,915 7,067,898 11,779,830 17,669,745 35,339,490

Collatz Trajectory (152 steps to reach 1)

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

35,339,490 17,669,745 53,009,236 26,504,618 13,252,309 39,756,928 19,878,464 9,939,232 4,969,616 2,484,808 1,242,404 621,202 310,601 931,804 465,902 232,951 698,854 349,427 1,048,282 524,141 1,572,424 786,212 393,106 196,553 589,660 294,830 147,415 442,246 221,123 663,370 331,685 995,056 497,528 248,764 124,382 62,191 186,574 93,287 279,862 139,931 419,794 209,897 629,692 314,846 157,423 472,270 236,135 708,406 354,203 1,062,610 531,305 1,593,916 796,958 398,479 1,195,438 597,719 1,793,158 896,579 2,689,738 1,344,869

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