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Atlas › Integer Profiles › Node 35,217,260

35,217,260

22 × 5 × 13 × 19 × 7129
Abundant Even Composite

35,217,260 factors as 2^2 × 5 × 13 × 19 × 7129. Its 48 positive divisors give a proper-divisor sum of 48,631,540, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 19 × 7129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 83,848,800
Proper Divisor Sum 48,631,540
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #35217239 ← → #35217269

Radix Representation

Decimal 35217260
Binary 10000110010101111101101100 (26 bits)
Octal 0o206257554
Hexadecimal 0x2195F6C

Divisor Catalog (48)

1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1,235 2,470 4,940 7,129 14,258 28,516 35,645 71,290 92,677 135,451 142,580 185,354 270,902 370,708 463,385 541,804 677,255 926,770 1,354,510 1,760,863 1,853,540 2,709,020 3,521,726 7,043,452 8,804,315 17,608,630 35,217,260

Collatz Trajectory (152 steps to reach 1)

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

35,217,260 17,608,630 8,804,315 26,412,946 13,206,473 39,619,420 19,809,710 9,904,855 29,714,566 14,857,283 44,571,850 22,285,925 66,857,776 33,428,888 16,714,444 8,357,222 4,178,611 12,535,834 6,267,917 18,803,752 9,401,876 4,700,938 2,350,469 7,051,408 3,525,704 1,762,852 881,426 440,713 1,322,140 661,070 330,535 991,606 495,803 1,487,410 743,705 2,231,116 1,115,558 557,779 1,673,338 836,669 2,510,008 1,255,004 627,502 313,751 941,254 470,627 1,411,882 705,941 2,117,824 1,058,912 529,456 264,728 132,364 66,182 33,091 99,274 49,637 148,912 74,456 37,228

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