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Atlas › Integer Profiles › Node 962,736

962,736

24 × 3 × 31 × 647
Abundant Even Composite

962,736 factors as 2^4 × 3 × 31 × 647. Its 40 positive divisors give a proper-divisor sum of 1,608,528, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 31 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,571,264
Proper Divisor Sum 1,608,528
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #962683 ← → #962737

Radix Representation

Decimal 962736
Binary 11101011000010110000 (20 bits)
Octal 0o3530260
Hexadecimal 0xEB0B0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 647 744 1,294 1,488 1,941 2,588 3,882 5,176 7,764 10,352 15,528 20,057 31,056 40,114 60,171 80,228 120,342 160,456 240,684 320,912 481,368 962,736

Collatz Trajectory (121 steps to reach 1)

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

962,736 481,368 240,684 120,342 60,171 180,514 90,257 270,772 135,386 67,693 203,080 101,540 50,770 25,385 76,156 38,078 19,039 57,118 28,559 85,678 42,839 128,518 64,259 192,778 96,389 289,168 144,584 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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