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Atlas › Integer Profiles › Node 61,377,336

61,377,336

23 × 32 × 852463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 852463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 166,230,480
Proper Divisor Sum 104,853,144
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61377331 ← → #61377341

Radix Representation

Decimal 61377336
Binary 11101010001000101100111000 (26 bits)
Octal 0o352105470
Hexadecimal 0x3A88B38

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 852,463 1,704,926 2,557,389 3,409,852 5,114,778 6,819,704 7,672,167 10,229,556 15,344,334 20,459,112 30,688,668 61,377,336

Collatz Trajectory (251 steps to reach 1)

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

61,377,336 30,688,668 15,344,334 7,672,167 23,016,502 11,508,251 34,524,754 17,262,377 51,787,132 25,893,566 12,946,783 38,840,350 19,420,175 58,260,526 29,130,263 87,390,790 43,695,395 131,086,186 65,543,093 196,629,280 98,314,640 49,157,320 24,578,660 12,289,330 6,144,665 18,433,996 9,216,998 4,608,499 13,825,498 6,912,749 20,738,248 10,369,124 5,184,562 2,592,281 7,776,844 3,888,422 1,944,211 5,832,634 2,916,317 8,748,952 4,374,476 2,187,238 1,093,619 3,280,858 1,640,429 4,921,288 2,460,644 1,230,322 615,161 1,845,484 922,742 461,371 1,384,114 692,057 2,076,172 1,038,086 519,043 1,557,130 778,565 2,335,696

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