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Atlas › Integer Profiles › Node 35,209,560

35,209,560

23 × 3 × 5 × 293413
Abundant Even Composite

35,209,560 factors as 2^3 × 3 × 5 × 293413. Its 32 positive divisors give a proper-divisor sum of 70,419,480, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 293413
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,629,040
Proper Divisor Sum 70,419,480
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #35209549 ← → #35209597

Radix Representation

Decimal 35209560
Binary 10000110010100000101011000 (26 bits)
Octal 0o206240530
Hexadecimal 0x2194158

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293,413 586,826 880,239 1,173,652 1,467,065 1,760,478 2,347,304 2,934,130 3,520,956 4,401,195 5,868,260 7,041,912 8,802,390 11,736,520 17,604,780 35,209,560

Collatz Trajectory (196 steps to reach 1)

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

35,209,560 17,604,780 8,802,390 4,401,195 13,203,586 6,601,793 19,805,380 9,902,690 4,951,345 14,854,036 7,427,018 3,713,509 11,140,528 5,570,264 2,785,132 1,392,566 696,283 2,088,850 1,044,425 3,133,276 1,566,638 783,319 2,349,958 1,174,979 3,524,938 1,762,469 5,287,408 2,643,704 1,321,852 660,926 330,463 991,390 495,695 1,487,086 743,543 2,230,630 1,115,315 3,345,946 1,672,973 5,018,920 2,509,460 1,254,730 627,365 1,882,096 941,048 470,524 235,262 117,631 352,894 176,447 529,342 264,671 794,014 397,007 1,191,022 595,511 1,786,534 893,267 2,679,802 1,339,901

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