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Atlas › Integer Profiles › Node 58,552,002

58,552,002

2 × 32 × 479 × 6791
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 479 × 6791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 127,146,240
Proper Divisor Sum 68,594,238
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #58551991 ← → #58552003

Radix Representation

Decimal 58552002
Binary 11011111010110111011000010 (26 bits)
Octal 0o337267302
Hexadecimal 0x37D6EC2

Divisor Catalog (24)

1 2 3 6 9 18 479 958 1,437 2,874 4,311 6,791 8,622 13,582 20,373 40,746 61,119 122,238 3,252,889 6,505,778 9,758,667 19,517,334 29,276,001 58,552,002

Collatz Trajectory (207 steps to reach 1)

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

58,552,002 29,276,001 87,828,004 43,914,002 21,957,001 65,871,004 32,935,502 16,467,751 49,403,254 24,701,627 74,104,882 37,052,441 111,157,324 55,578,662 27,789,331 83,367,994 41,683,997 125,051,992 62,525,996 31,262,998 15,631,499 46,894,498 23,447,249 70,341,748 35,170,874 17,585,437 52,756,312 26,378,156 13,189,078 6,594,539 19,783,618 9,891,809 29,675,428 14,837,714 7,418,857 22,256,572 11,128,286 5,564,143 16,692,430 8,346,215 25,038,646 12,519,323 37,557,970 18,778,985 56,336,956 28,168,478 14,084,239 42,252,718 21,126,359 63,379,078 31,689,539 95,068,618 47,534,309 142,602,928 71,301,464 35,650,732 17,825,366 8,912,683 26,738,050 13,369,025

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