λ
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Atlas › Integer Profiles › Node 48,867,945

48,867,945

3 × 5 × 72 × 17 × 3911
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 17 × 3911
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,329,088
Proper Divisor Sum 47,461,143
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #48867937 ← → #48867971

Radix Representation

Decimal 48867945
Binary 10111010011010101001101001 (26 bits)
Octal 0o272325151
Hexadecimal 0x2E9AA69

Divisor Catalog (48)

1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 357 595 735 833 1,785 2,499 3,911 4,165 11,733 12,495 19,555 27,377 58,665 66,487 82,131 136,885 191,639 199,461 332,435 410,655 465,409 574,917 958,195 997,305 1,396,227 2,327,045 2,874,585 3,257,863 6,981,135 9,773,589 16,289,315 48,867,945

Collatz Trajectory (199 steps to reach 1)

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

48,867,945 146,603,836 73,301,918 36,650,959 109,952,878 54,976,439 164,929,318 82,464,659 247,393,978 123,696,989 371,090,968 185,545,484 92,772,742 46,386,371 139,159,114 69,579,557 208,738,672 104,369,336 52,184,668 26,092,334 13,046,167 39,138,502 19,569,251 58,707,754 29,353,877 88,061,632 44,030,816 22,015,408 11,007,704 5,503,852 2,751,926 1,375,963 4,127,890 2,063,945 6,191,836 3,095,918 1,547,959 4,643,878 2,321,939 6,965,818 3,482,909 10,448,728 5,224,364 2,612,182 1,306,091 3,918,274 1,959,137 5,877,412 2,938,706 1,469,353 4,408,060 2,204,030 1,102,015 3,306,046 1,653,023 4,959,070 2,479,535 7,438,606 3,719,303 11,157,910

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