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Atlas › Integer Profiles › Node 77,790,940

77,790,940

22 × 5 × 19 × 41 × 4993
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 41 × 4993
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 176,188,320
Proper Divisor Sum 98,397,380
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #77790919 ← → #77790949

Radix Representation

Decimal 77790940
Binary 100101000101111111011011100 (27 bits)
Octal 0o450577334
Hexadecimal 0x4A2FEDC

Divisor Catalog (48)

1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1,558 3,116 3,895 4,993 7,790 9,986 15,580 19,972 24,965 49,930 94,867 99,860 189,734 204,713 379,468 409,426 474,335 818,852 948,670 1,023,565 1,897,340 2,047,130 3,889,547 4,094,260 7,779,094 15,558,188 19,447,735 38,895,470 77,790,940

Collatz Trajectory (228 steps to reach 1)

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

77,790,940 38,895,470 19,447,735 58,343,206 29,171,603 87,514,810 43,757,405 131,272,216 65,636,108 32,818,054 16,409,027 49,227,082 24,613,541 73,840,624 36,920,312 18,460,156 9,230,078 4,615,039 13,845,118 6,922,559 20,767,678 10,383,839 31,151,518 15,575,759 46,727,278 23,363,639 70,090,918 35,045,459 105,136,378 52,568,189 157,704,568 78,852,284 39,426,142 19,713,071 59,139,214 29,569,607 88,708,822 44,354,411 133,063,234 66,531,617 199,594,852 99,797,426 49,898,713 149,696,140 74,848,070 37,424,035 112,272,106 56,136,053 168,408,160 84,204,080 42,102,040 21,051,020 10,525,510 5,262,755 15,788,266 7,894,133 23,682,400 11,841,200 5,920,600 2,960,300

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