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Atlas › Integer Profiles › Node 77,069,596

77,069,596

22 × 23 × 31 × 61 × 443
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 61 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 147,990,528
Proper Divisor Sum 70,920,932
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #77069581 ← → #77069599

Radix Representation

Decimal 77069596
Binary 100100101111111110100011100 (27 bits)
Octal 0o445776434
Hexadecimal 0x497FD1C

Divisor Catalog (48)

1 2 4 23 31 46 61 62 92 122 124 244 443 713 886 1,403 1,426 1,772 1,891 2,806 2,852 3,782 5,612 7,564 10,189 13,733 20,378 27,023 27,466 40,756 43,493 54,046 54,932 86,986 108,092 173,972 315,859 621,529 631,718 837,713 1,243,058 1,263,436 1,675,426 2,486,116 3,350,852 19,267,399 38,534,798 77,069,596

Collatz Trajectory (148 steps to reach 1)

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

77,069,596 38,534,798 19,267,399 57,802,198 28,901,099 86,703,298 43,351,649 130,054,948 65,027,474 32,513,737 97,541,212 48,770,606 24,385,303 73,155,910 36,577,955 109,733,866 54,866,933 164,600,800 82,300,400 41,150,200 20,575,100 10,287,550 5,143,775 15,431,326 7,715,663 23,146,990 11,573,495 34,720,486 17,360,243 52,080,730 26,040,365 78,121,096 39,060,548 19,530,274 9,765,137 29,295,412 14,647,706 7,323,853 21,971,560 10,985,780 5,492,890 2,746,445 8,239,336 4,119,668 2,059,834 1,029,917 3,089,752 1,544,876 772,438 386,219 1,158,658 579,329 1,737,988 868,994 434,497 1,303,492 651,746 325,873 977,620 488,810

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