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Atlas › Integer Profiles › Node 36,085,581

36,085,581

34 × 7 × 31 × 2053
Deficient Odd Composite

36,085,581 factors as 3^4 × 7 × 31 × 2053. Its 40 positive divisors give a proper-divisor sum of 27,539,123, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 31 × 2053
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 63,624,704
Proper Divisor Sum 27,539,123
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36085573 ← → #36085601

Radix Representation

Decimal 36085581
Binary 10001001101001111101001101 (26 bits)
Octal 0o211517515
Hexadecimal 0x2269F4D

Divisor Catalog (40)

1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1,953 2,053 2,511 5,859 6,159 14,371 17,577 18,477 43,113 55,431 63,643 129,339 166,293 190,929 388,017 445,501 572,787 1,164,051 1,336,503 1,718,361 4,009,509 5,155,083 12,028,527 36,085,581

Collatz Trajectory (139 steps to reach 1)

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

36,085,581 108,256,744 54,128,372 27,064,186 13,532,093 40,596,280 20,298,140 10,149,070 5,074,535 15,223,606 7,611,803 22,835,410 11,417,705 34,253,116 17,126,558 8,563,279 25,689,838 12,844,919 38,534,758 19,267,379 57,802,138 28,901,069 86,703,208 43,351,604 21,675,802 10,837,901 32,513,704 16,256,852 8,128,426 4,064,213 12,192,640 6,096,320 3,048,160 1,524,080 762,040 381,020 190,510 95,255 285,766 142,883 428,650 214,325 642,976 321,488 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150

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