λ
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Atlas › Integer Profiles › Node 78,561,412

78,561,412

22 × 41 × 61 × 7853
Deficient Even Composite

78,561,412 factors as 2^2 × 41 × 61 × 7853. Its 24 positive divisors give a proper-divisor sum of 64,601,300, so this integer is deficient. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 61 × 7853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 143,162,712
Proper Divisor Sum 64,601,300
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #78561407 ← → #78561449

Radix Representation

Decimal 78561412
Binary 100101011101100000010000100 (27 bits)
Octal 0o453540204
Hexadecimal 0x4AEC084

Divisor Catalog (24)

1 2 4 41 61 82 122 164 244 2,501 5,002 7,853 10,004 15,706 31,412 321,973 479,033 643,946 958,066 1,287,892 1,916,132 19,640,353 39,280,706 78,561,412

Collatz Trajectory (316 steps to reach 1)

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

78,561,412 39,280,706 19,640,353 58,921,060 29,460,530 14,730,265 44,190,796 22,095,398 11,047,699 33,143,098 16,571,549 49,714,648 24,857,324 12,428,662 6,214,331 18,642,994 9,321,497 27,964,492 13,982,246 6,991,123 20,973,370 10,486,685 31,460,056 15,730,028 7,865,014 3,932,507 11,797,522 5,898,761 17,696,284 8,848,142 4,424,071 13,272,214 6,636,107 19,908,322 9,954,161 29,862,484 14,931,242 7,465,621 22,396,864 11,198,432 5,599,216 2,799,608 1,399,804 699,902 349,951 1,049,854 524,927 1,574,782 787,391 2,362,174 1,181,087 3,543,262 1,771,631 5,314,894 2,657,447 7,972,342 3,986,171 11,958,514 5,979,257 17,937,772

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