λ
Ratio Atlas

85,536,007

85536007
Deficient Odd Prime

85,536,007 factors as 85536007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 85536007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 85,536,008
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #85535999 ← → #85536023

Radix Representation

Decimal 85536007
Binary 101000110010010110100000111 (27 bits)
Octal 0o506226407
Hexadecimal 0x5192D07

Divisor Catalog (2)

Collatz Trajectory (205 steps to reach 1)

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

85,536,007 256,608,022 128,304,011 384,912,034 192,456,017 577,368,052 288,684,026 144,342,013 433,026,040 216,513,020 108,256,510 54,128,255 162,384,766 81,192,383 243,577,150 121,788,575 365,365,726 182,682,863 548,048,590 274,024,295 822,072,886 411,036,443 1,233,109,330 616,554,665 1,849,663,996 924,831,998 462,415,999 1,387,247,998 693,623,999 2,080,871,998 1,040,435,999 3,121,307,998 1,560,653,999 4,681,961,998 2,340,980,999 7,022,942,998 3,511,471,499 10,534,414,498 5,267,207,249 15,801,621,748 7,900,810,874 3,950,405,437 11,851,216,312 5,925,608,156 2,962,804,078 1,481,402,039 4,444,206,118 2,222,103,059 6,666,309,178 3,333,154,589 9,999,463,768 4,999,731,884 2,499,865,942 1,249,932,971 3,749,798,914 1,874,899,457 5,624,698,372 2,812,349,186 1,406,174,593 4,218,523,780

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