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Atlas › Integer Profiles › Node 85,227,015

85,227,015

3 × 5 × 67 × 137 × 619
Deficient Odd Composite

85,227,015 factors as 3 × 5 × 67 × 137 × 619. Its 32 positive divisors give a proper-divisor sum of 54,406,905, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 137 × 619
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 139,633,920
Proper Divisor Sum 54,406,905
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #85227007 ← → #85227047

Radix Representation

Decimal 85227015
Binary 101000101000111011000000111 (27 bits)
Octal 0o505073007
Hexadecimal 0x5147607

Divisor Catalog (32)

1 3 5 15 67 137 201 335 411 619 685 1,005 1,857 2,055 3,095 9,179 9,285 27,537 41,473 45,895 84,803 124,419 137,685 207,365 254,409 424,015 622,095 1,272,045 5,681,801 17,045,403 28,409,005 85,227,015

Collatz Trajectory (122 steps to reach 1)

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

85,227,015 255,681,046 127,840,523 383,521,570 191,760,785 575,282,356 287,641,178 143,820,589 431,461,768 215,730,884 107,865,442 53,932,721 161,798,164 80,899,082 40,449,541 121,348,624 60,674,312 30,337,156 15,168,578 7,584,289 22,752,868 11,376,434 5,688,217 17,064,652 8,532,326 4,266,163 12,798,490 6,399,245 19,197,736 9,598,868 4,799,434 2,399,717 7,199,152 3,599,576 1,799,788 899,894 449,947 1,349,842 674,921 2,024,764 1,012,382 506,191 1,518,574 759,287 2,277,862 1,138,931 3,416,794 1,708,397 5,125,192 2,562,596 1,281,298 640,649 1,921,948 960,974 480,487 1,441,462 720,731 2,162,194 1,081,097 3,243,292

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