λ
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Atlas › Integer Profiles › Node 85,508,379

85,508,379

34 × 11 × 19 × 5051
Deficient Odd Composite

85,508,379 factors as 3^4 × 11 × 19 × 5051. Its 40 positive divisors give a proper-divisor sum of 61,201,701, so this integer is deficient. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 3^4 × 11 × 19 × 5051
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 146,710,080
Proper Divisor Sum 61,201,701
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #85508347 ← → #85508387

Radix Representation

Decimal 85508379
Binary 101000110001100000100011011 (27 bits)
Octal 0o506140433
Hexadecimal 0x518C11B

Divisor Catalog (40)

1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1,539 1,881 5,051 5,643 15,153 16,929 45,459 55,561 95,969 136,377 166,683 287,907 409,131 500,049 863,721 1,055,659 1,500,147 2,591,163 3,166,977 4,500,441 7,773,489 9,500,931 28,502,793 85,508,379

Collatz Trajectory (298 steps to reach 1)

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

85,508,379 256,525,138 128,262,569 384,787,708 192,393,854 96,196,927 288,590,782 144,295,391 432,886,174 216,443,087 649,329,262 324,664,631 973,993,894 486,996,947 1,460,990,842 730,495,421 2,191,486,264 1,095,743,132 547,871,566 273,935,783 821,807,350 410,903,675 1,232,711,026 616,355,513 1,849,066,540 924,533,270 462,266,635 1,386,799,906 693,399,953 2,080,199,860 1,040,099,930 520,049,965 1,560,149,896 780,074,948 390,037,474 195,018,737 585,056,212 292,528,106 146,264,053 438,792,160 219,396,080 109,698,040 54,849,020 27,424,510 13,712,255 41,136,766 20,568,383 61,705,150 30,852,575 92,557,726 46,278,863 138,836,590 69,418,295 208,254,886 104,127,443 312,382,330 156,191,165 468,573,496 234,286,748 117,143,374

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