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Atlas › Integer Profiles › Node 55,435,965

55,435,965

3 × 5 × 13 × 29 × 9803
Deficient Odd Composite

55,435,965 factors as 3 × 5 × 13 × 29 × 9803. Its 32 positive divisors give a proper-divisor sum of 43,388,355, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 29 × 9803
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 98,824,320
Proper Divisor Sum 43,388,355
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #55435943 ← → #55435993

Radix Representation

Decimal 55435965
Binary 11010011011110001010111101 (26 bits)
Octal 0o323361275
Hexadecimal 0x34DE2BD

Divisor Catalog (32)

1 3 5 13 15 29 39 65 87 145 195 377 435 1,131 1,885 5,655 9,803 29,409 49,015 127,439 147,045 284,287 382,317 637,195 852,861 1,421,435 1,911,585 3,695,731 4,264,305 11,087,193 18,478,655 55,435,965

Collatz Trajectory (163 steps to reach 1)

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

55,435,965 166,307,896 83,153,948 41,576,974 20,788,487 62,365,462 31,182,731 93,548,194 46,774,097 140,322,292 70,161,146 35,080,573 105,241,720 52,620,860 26,310,430 13,155,215 39,465,646 19,732,823 59,198,470 29,599,235 88,797,706 44,398,853 133,196,560 66,598,280 33,299,140 16,649,570 8,324,785 24,974,356 12,487,178 6,243,589 18,730,768 9,365,384 4,682,692 2,341,346 1,170,673 3,512,020 1,756,010 878,005 2,634,016 1,317,008 658,504 329,252 164,626 82,313 246,940 123,470 61,735 185,206 92,603 277,810 138,905 416,716 208,358 104,179 312,538 156,269 468,808 234,404 117,202 58,601

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