λ
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Atlas › Integer Profiles › Node 91,035,561

91,035,561

3 × 17 × 31 × 71 × 811
Deficient Odd Composite

91,035,561 factors as 3 × 17 × 31 × 71 × 811. Its 32 positive divisors give a proper-divisor sum of 43,665,495, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3 × 17 × 31 × 71 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 134,701,056
Proper Divisor Sum 43,665,495
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #91035559 ← → #91035563

Radix Representation

Decimal 91035561
Binary 101011011010001011110101001 (27 bits)
Octal 0o533213651
Hexadecimal 0x56D17A9

Divisor Catalog (32)

1 3 17 31 51 71 93 213 527 811 1,207 1,581 2,201 2,433 3,621 6,603 13,787 25,141 37,417 41,361 57,581 75,423 112,251 172,743 427,397 978,877 1,282,191 1,785,011 2,936,631 5,355,033 30,345,187 91,035,561

Collatz Trajectory (104 steps to reach 1)

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

91,035,561 273,106,684 136,553,342 68,276,671 204,830,014 102,415,007 307,245,022 153,622,511 460,867,534 230,433,767 691,301,302 345,650,651 1,036,951,954 518,475,977 1,555,427,932 777,713,966 388,856,983 1,166,570,950 583,285,475 1,749,856,426 874,928,213 2,624,784,640 1,312,392,320 656,196,160 328,098,080 164,049,040 82,024,520 41,012,260 20,506,130 10,253,065 30,759,196 15,379,598 7,689,799 23,069,398 11,534,699 34,604,098 17,302,049 51,906,148 25,953,074 12,976,537 38,929,612 19,464,806 9,732,403 29,197,210 14,598,605 43,795,816 21,897,908 10,948,954 5,474,477 16,423,432 8,211,716 4,105,858 2,052,929 6,158,788 3,079,394 1,539,697 4,619,092 2,309,546 1,154,773 3,464,320

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